Search

Your search keyword '"Ayadi, Khalil"' showing total 36 results
Start Over Author "Ayadi, Khalil"
36 results on '"Ayadi, Khalil"'

2. Diophantine approximation and continued fraction expansion for quartic power series over $\mathbb{F}_{3}$

Author

Ayadi, Khalil, Azaza, Awatef, and Beldi, Salah

Subjects
Mathematics - Number Theory, 11J61 (primary), 11J70 (secodary)
Abstract

While Roth's theorem states that the irrationality measure of all the irrational algebraic numbers is 2, and the same holds true over function fields in characteristic zero, some counter-examples were found over function fields in positive characteristic. This was put forward first by Mahler in 1949, in his fundamental paper on Diophantine approximation \cite{M}. It seems that, except for particular elements, as power series with bounded partial quotients, Roth's theorem holds. Until now, only one element, with unbounded partial quotients, discovered by Mills and Robbins \cite{MR} in 1986, has been recognized having this property. It concerns a quartic power series over $\mathbb{F}_{3}$ having a continued fraction expansion with remarkable pattern. This continued fraction expansion was explicitly described by Buck and Robbins \cite{BR}, and later by Lasjaunias \cite{LA2} who used another method somewhat easier. Furthermore, Lasjaunias \cite{LA2} improve the value of its irrationality measure in relation with Roth's theorem. We will see that this power series is included in a large quartic power series family, for which the continued fraction expansion and the irrationality measure can be explicitly given. Moreover, we will study the rational approximation of other examples of quartic power series over $\mathbb{F}_{3}$ and we will extend the set of counter-examples initiated by Mahler., Comment: 24 pages

Published
2020

3. On quadratic approximation for hyperquadratic continued fractions

Author

Ayadi, Khalil and Ooto, Tomohiro

Subjects
Mathematics - Number Theory, 11J61, 11J68
Abstract

We study quadratic approximations for two families of hyperquadratic continued fractions in the field of Laurent series over a finite field. As the first application, we give the answer to a question of the second author concerning Diophantine exponents for algebraic Laurent series. As the second application, we determine the degrees of these families in particular case., Comment: 11 pages

Published
2019
Full Text
View/download PDF

5. Continued Fraction Expansions Towards Zaremba's Conjecture.

Author

Ayadi, Khalil and Komatsu, Takao

Abstract

In this article, we show that Zaremba's conjecture holds for positive integers that appear as values of polynomials resulting from a recurrence formula and their powers of two. For example, Zaremba's conjecture holds for all positive integers less than or equal to 100 and their powers of two. Also, as a special case, Zaremba's conjecture holds for positive integers that appear as values of Fibonacci polynomials and powers of two. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF

6. Global Perspectives on Task Shifting and Task Sharing in Neurosurgery

Author

Rosenfeld, Jeffrey, Balak, Naci, Ammar, Ahmed, Tisel, Magnus, Haglund, Michael, Smith, Timothy, Mendez, Ivar, Brennum, Jannick, Honeybul, Stephen, Matsumara, Akira, Muneza, Severien, Rubiano, Andres, Kamalo, Patrick, Fieggen, Graham, Misra, Basant, Bolles, Gene, Adelson, David, Dempsey, Robert, Hutchinson, Peter, Nikova, Alexandrina, Ghazala, Osama, Buno, Elubabor, Bhattacharjee, Shibashish, Iizuka, Takahiro, Abdullah, Jafri Malin, Chaurasia, Bipin, Morgan, Eghosa, Alcedo-Guardia, Rodolfo E., Lucena, Lynne Lourdes N., Oktay, Kadir, AbdAllah, Omar Ibrahim, Saihi, Ahlem, Abdeldjalil, Gacem, Asmaa, Mahi, Yampolsky, Claudio, Saladino, Laura P., Mannara, Francisco, Sachdev, Sonal, Price, Benjamin, Joris, Vincent, Adeniran Bankole, Nourou Dine, Carrasco, Edgar M., Hodzic, Mirsad, de Sousa Porto, Marcos Wagner, Amorim, Robson, Maldonado, Igor Lima, Yves, Bizoza, Suarez, Gonzalo, Constanzo, Felipe, Valdeblanquez Atencio, Johanna Cecilia, Ruiz Mora, Karen Alexa, Rodriguez Gil, Juan Manuel, Paraskeva, Kiriakos, Egemen, Emrah, Ngamasata, Trevcsor, Ntalaja, Jeff, Beltchika, Antoine, Ntsambi, Glennie, Dunia, Goertz Mirenge, Taha, Mahmoud M., Arnaout, Mohamed, Kirollos, Ramez, Kassem, Mohamed, Elwardany, Omar, Negida, Ahmed, Dolango, Birhanu, Aseged, Mikael, Mldie, Alemu Adise, Laeke, Tsegazeab, Aklilu, Abenezer, Adefris, Esayas, Luoto, Teemu, Behnam, Rezai Jahromi, De Schlichting, Emmanuel, Nassim, Bougaci, Bourdillon, Pierre, Stienen, Martin N., Lackermair, Stephan, Schmidt, Franziska Anna, Konczalla, Juergen, Holzgreve, Adrien, Sagerer, Andre, Weinert, Dieter M., Kumi, Paulette, McLean, Aaron Lawson, Loan, James, Cahill, Julian, Dockrell, Simon, Afshari, Fardad T., May, Paul, Athanasiou, Alkinoos, Papadopoulos, Steven, Espinoza, Edroulfo-Georgios, Chatzisotiriou, Athanasios, Vlachogiannis, Pavlos, Karabatsou, Konstantina, Paschalis, Thanasis, Tsitsipanis, Christos, Longo Calderan, Gabriel Mauricio, Leiva, Ronny, Deora, Harsh, Mukkamala, Sreenivas, Batra, Dipesh, Sukumaran, Arvind, Parmar, Kanishk, Bahl, Anuj, Agrawal, Amit, Dev, Nirankar, Thakur, Nikhil, Behari, Sanjay, Yandrapati, Chandrasekhar B.V.K., Bhoot, Ritesh, Bhatt, Pragnesh, Bhaumik, Uday, Agrawal, Manish, Thomas, Antony, Chandrappa, Harish, Mathur, Ankit, Wahjoepramono, Petra, Oswari, Selfy, Al-Mahfoudh, Rafid, Alnaji, Abbas, Abuhadrous, Nidal, Jarad, Bakr Abo, Nour, Ibrahim, Cohen-Inbar, Or, Colasanti, Roberto, Conti, Alfredo, Raffa, Giovanni, Castrioto, Corrado, Baccanelli, Matteo M., Tomasi, Santino Ottavio, Zoli, Matteo, Veroni, Andrea, Di Cristofori, Andrea, Giannachi, Luigi, Lippa, Laura, Sgubin, Donatella, Broggi, Morgan, Barbato, Marcello, Restelli, Francesco, Ganau, Mario, Taddei, Graziano, Albadawi, Hamzeh, Salameh, Mohammed, Gulmira, Madieyva, Lashhab, Muffaq, El Gaddafi, Walid, Altoumi, Mohammad, Manvinder, S.M., Kanesen, Davendran, Teo, Mario, Sriram, Prabu Rau, Zamri, Sarah Atiqah M., Vinodh, Vayara Perumall, Denou, Moussa, Melhaoui, Adyl, Outani, Oumaima, Boutarbouch, Mahjouba, Gretschel, Armin, Yadav, Pradhumna, Karmacharya, Balgopal, Incekara, Fatih, Boogert, Hugo den, Lopez, Buccket Argvoello, Amadou, Hassane Ali, Sale, Danjuma, Bello, Sanusi, Edward, Poluyi, Ukachukwu, Alvan-Emeka, Nwaribe, Evaristus, Aniaku, Ikechukwu, Ndajiwo, Aliyu Baba, Ayodele, Olabamidele, Bot, Gyang Markus, Ndubuisu Achebe, Sunday David, Jamal, Bakht, Tariq, Muhammad, Farooq, Ghulam, Khan, Tariq, Khan, Danyal Zaman, Khizar, Ahtesham, Hussain, Zahid, Nazir, Anisa, Gonzales-Portillo, Marco, Bautista, Jhosep Silvestre, Torres, Roland A., Javier-Lizan, Abigail, de los Santos, Isagani Jodl G., Jr., Morais, Nuno, Dias, Lydia, Noronha, Carolina, Silva, Jovelo Monteiro, Seromenho-Santos, Alexandra, Lozanche, Kiril, Negoi, Ionut, Tascu, Alexandru, Kozyrev, Danil A., Nkeshimana, Menelas, Karekezi, Claire, Ndayishyigikiye, Marcel Didier, Alabbass, Faisal, Farrash, Faisal, Alhazmi, Rawan, Golubovic, Jagos, Lepifá, Milan, Ilifá, Rosanda, Stanimirovifá, Aleksandar, Garcia-Garcia, Sergio, Rodriguez Arias, Carlos A., Lau, Ruth, Delgado-Fernandez, Juan, Arraez, Miguel A., Mateos, C. Fernandez, Castano Leon, Ana M., Wadanamby, Saman, Bervini, David, Shabani, Hamisi K., Limpastan, Kriengsak, Ayadi, Khalil, Sencer, Altay, Yalcinkaya, Ali, Eren, Elif, Basaran, Recep, Gokoglu, Abdulkerim, Mykola, Vyval, Tayong, Felicita, Rosseau, Gail, Zuccarello, Mario, Quinsey, Carolyn, Dewan, Michael C., Young, Paul H., Laws, Edward, Rock, Jack, Kurland, David B., Muh, Carrie R., Delgado Aguilar, Eri Dario, Burns, Kenneth, Low, Jacob, Keogh, Conor, Uff, Chris, Spina, Alfio, Alelyani, Fayez, Robertson, Faith C., Esene, Ignatius N., Kolias, Angelos G., Gormley, William B., Park, Kee B., and Broekman, Marike L.D.

Published
2020
Full Text
View/download PDF

7. Task-Shifting and Task-Sharing in Neurosurgery: An International Survey of Current Practices in Low- and Middle-Income Countries

Author

Rosenfeld, Jeffrey, Balak, Naci, Ammar, Ahmed, Tisel, Magnus, Haglund, Michael, Smith, Timothy, Mendez, Ivar, Brennum, Jannick, Honeybul, Stephen, Matsumara, Akira, Muneza, Severien, Rubiano, Andres, Rosseau, Gail, Khan, Tariq, Misra, Basant, Bolles, Gene, Adelson, David, Dempsey, Robert, Hutchinson, Peter, Aklilu, Abenezer, Javier-Lizan, Abigail, Belhachmi, Adil, Khizar, Ahtesham, Tascu, Alexandru, Yalcinkaya, Ali, Ndajiwo, Aliyu Baba, Ukacjukwu, Alvan-Emeka, Agrawal, Amit, Thapa, Amit, Silva, Ana C.V., Gretschel, Armin, Sukumaran, Arvind, Vats, Atul, Jarad, Bakr Abo, Karmacharya, Balgopal, Chaurasia, Bipin, Liew, Boon Seng, Rodriguez Arias, Carlos A., Karekezi, Claire, Or, Cohen-Inbar, Sale, Danjuma, Kanesen, Davendran, Djilvesi, Djula, Nwaribe, Evarsitus, Mahmoud, M. Elhaj, Awais, Mian, Kumar, Sanjay, Adeleye, Amos O., Agarwal, Manish, Nkeshimana, Menelas, Ndubuisi Achebe, Sunday David, El Gaddafi, Walid, Uysal, Ece, Morgan, Eghosa, Buno, Elubabor, Sunday, Emmanuel, Adefris, Esayas, Alelyani, Fayez, Constanzo, Felipe, Longo, Gabriel, Farooq, Ghulam, Dunia, Goertz Mirenge, Bot, Gyang Markus, Shabani, Hamisi K., Deora, Harch, Almenshawy, Hassan, Kuheil, Hazem, Maldonado, Igor Lima, Negoi, Ionut, Yousaf, Irfan, Abdullah, Jafri Malin, Golubovic, Jagos, Ayadi, Khalil, Limpastan, Kriengsak, Jokonya, Luxwell, Hodzic, Mirsad, Kassem, Mohamed, Al-Rawi, Mohammed, Tariq, Muhammad, Vyval, Mykola, Abuhadrous, Nidal, Syrmos, Nikolaos, Alser, Osaid, Young, Paul H., Wahjoepramono, Petra, Sriram, Prabu Rau, Ouchetati, Rafik, Basaran, Recep, Bhoot, Ritesh, Amorim, Robson, Ilić, Rosanda, Wadanamby, Saman, Fetene, Samuel M., Behari, Sanjay, Babu, Satish, Duong, Trung Kien, Laeke, Tsegazeab, Kanmounye, Ulrick S., Komar, Vladimir, George, Ipe Vazheeparambil, Hussain, Zahid, Lucena, Lynne Lourdes N., Ekouele Mbaki, Hugues Brieux, Kumwenda, Ken-Keller, Bah, Djvnaba, Efe, Ibrahim E., Bandoh, Dickson, Aji, Yunus Kuntawi, Dakurah, Thomas, Robertson, Faith C., Esene, Ignatius N., Kolias, Angelos G., Kamalo, Patrick, Fieggen, Graham, Gormley, William B., Broekman, Marike L.D., and Park, Kee B.

Published
2020
Full Text
View/download PDF

9. On a quartic equation and two families of hyperquadratic continued fractions in power series fields

Author

Lasjaunias, Alain and Ayadi, Khalil

Subjects
Mathematics - Number Theory, 11J70, 11T55
Abstract

Casually introduced thirty years ago, a simple algebraic equation of degree 4, with coefficients in Fp[T], has a solution in the field of power series in 1/T, over the finite field Fp. For each prime p > 3, the continued fraction expansion of this solution is remarkable and it has a different general pattern according to the remainder, 1 or 2, in the division of p by 3. We describe two very large families of algebraic continued fractions, each containing these solutions, according to the class of p modulo 3. We can compute the irrationality measure for these algebraic continued fractions and, as a consequence, we obtain two different values for the solution of the quartic equation, only depending on the class of p modulo 3., Comment: 21 pages, 2 figures

Published
2014

17. CONTINUED FRACTIONS FOR THE nth ROOT OF RATIONAL FUNCTIONS IN CHARACTERISTIC p.

Author

AYADI, KHALIL and BELDI, SALAH

Subjects
POWER series, EXPONENTIAL generating functions, INTEGERS, FINITE fields, ALGEBRAIC fields
Abstract

The aim of this paper is to exhibit the continued fractions expansions of nth root of rational functions. We are particularly interested to the expansion of (1 - 1/T)1/n in the field of power series of characteristic a prime integer p, for a suitable n prime with p. [ABSTRACT FROM AUTHOR]

Published
2022

18. Quadratic approximation for some badly rational approximable power series.

Author

Ayadi, Khalil, Azaza, Awatef, and Bechir, Chiheb ben

Subjects
*POWER series, *FINITE fields, *DIOPHANTINE approximation, *EXPONENTS
Abstract

We explicitly compute the exponents of quadratic approximation of two algebraic elements over fields of power series with coefficients in a finite field. We prove that they have well quadratic approximation although their rational approximation is bad. [ABSTRACT FROM AUTHOR]

Published
2022
Full Text
View/download PDF

28. Task-Shifting and Task-Sharing in Neurosurgery: An International Survey of Current Practices in Low- and Middle-Income Countries

Author

Robertson, Faith C., primary, Esene, Ignatius N., additional, Kolias, Angelos G., additional, Kamalo, Patrick, additional, Fieggen, Graham, additional, Gormley, William B., additional, Broekman, Marike L.D., additional, Park, Kee B., additional, Rosenfeld, Jeffrey, additional, Balak, Naci, additional, Ammar, Ahmed, additional, Tisel, Magnus, additional, Haglund, Michael, additional, Smith, Timothy, additional, Mendez, Ivar, additional, Brennum, Jannick, additional, Honeybul, Stephen, additional, Matsumara, Akira, additional, Muneza, Severien, additional, Rubiano, Andres, additional, Rosseau, Gail, additional, Khan, Tariq, additional, Misra, Basant, additional, Bolles, Gene, additional, Adelson, David, additional, Dempsey, Robert, additional, Hutchinson, Peter, additional, Aklilu, Abenezer, additional, Javier-Lizan, Abigail, additional, Belhachmi, Adil, additional, Khizar, Ahtesham, additional, Tascu, Alexandru, additional, Yalcinkaya, Ali, additional, Ndajiwo, Aliyu Baba, additional, Ukacjukwu, Alvan-Emeka, additional, Agrawal, Amit, additional, Thapa, Amit, additional, Silva, Ana C.V., additional, Gretschel, Armin, additional, Sukumaran, Arvind, additional, Vats, Atul, additional, Jarad, Bakr Abo, additional, Karmacharya, Balgopal, additional, Chaurasia, Bipin, additional, Liew, Boon Seng, additional, Rodriguez Arias, Carlos A., additional, Karekezi, Claire, additional, Or, Cohen-Inbar, additional, Sale, Danjuma, additional, Kanesen, Davendran, additional, Djilvesi, Djula, additional, Nwaribe, Evarsitus, additional, Mahmoud, M. Elhaj, additional, Awais, Mian, additional, Kumar, Sanjay, additional, Adeleye, Amos O., additional, Agarwal, Manish, additional, Nkeshimana, Menelas, additional, Ndubuisi Achebe, Sunday David, additional, El Gaddafi, Walid, additional, Uysal, Ece, additional, Morgan, Eghosa, additional, Buno, Elubabor, additional, Sunday, Emmanuel, additional, Adefris, Esayas, additional, Alelyani, Fayez, additional, Constanzo, Felipe, additional, Longo, Gabriel, additional, Farooq, Ghulam, additional, Dunia, Goertz Mirenge, additional, Bot, Gyang Markus, additional, Shabani, Hamisi K., additional, Deora, Harch, additional, Almenshawy, Hassan, additional, Kuheil, Hazem, additional, Maldonado, Igor Lima, additional, Negoi, Ionut, additional, Yousaf, Irfan, additional, Abdullah, Jafri Malin, additional, Golubovic, Jagos, additional, Ayadi, Khalil, additional, Limpastan, Kriengsak, additional, Jokonya, Luxwell, additional, Hodzic, Mirsad, additional, Kassem, Mohamed, additional, Al-Rawi, Mohammed, additional, Tariq, Muhammad, additional, Vyval, Mykola, additional, Abuhadrous, Nidal, additional, Syrmos, Nikolaos, additional, Alser, Osaid, additional, Young, Paul H., additional, Wahjoepramono, Petra, additional, Sriram, Prabu Rau, additional, Ouchetati, Rafik, additional, Basaran, Recep, additional, Bhoot, Ritesh, additional, Amorim, Robson, additional, Ilić, Rosanda, additional, Wadanamby, Saman, additional, Fetene, Samuel M., additional, Behari, Sanjay, additional, Babu, Satish, additional, Duong, Trung Kien, additional, Laeke, Tsegazeab, additional, Kanmounye, Ulrick S., additional, Komar, Vladimir, additional, George, Ipe Vazheeparambil, additional, Hussain, Zahid, additional, Lucena, Lynne Lourdes N., additional, Ekouele Mbaki, Hugues Brieux, additional, Kumwenda, Ken-Keller, additional, Bah, Djvnaba, additional, Efe, Ibrahim E., additional, Bandoh, Dickson, additional, Aji, Yunus Kuntawi, additional, and Dakurah, Thomas, additional

Published
2020
Full Text
View/download PDF

29. Global Perspectives on Task Shifting and Task Sharing in Neurosurgery

Author

Robertson, Faith C., primary, Esene, Ignatius N., additional, Kolias, Angelos G., additional, Khan, Tariq, additional, Rosseau, Gail, additional, Gormley, William B., additional, Park, Kee B., additional, Broekman, Marike L.D., additional, Rosenfeld, Jeffrey, additional, Balak, Naci, additional, Ammar, Ahmed, additional, Tisel, Magnus, additional, Haglund, Michael, additional, Smith, Timothy, additional, Mendez, Ivar, additional, Brennum, Jannick, additional, Honeybul, Stephen, additional, Matsumara, Akira, additional, Muneza, Severien, additional, Rubiano, Andres, additional, Kamalo, Patrick, additional, Fieggen, Graham, additional, Misra, Basant, additional, Bolles, Gene, additional, Adelson, David, additional, Dempsey, Robert, additional, Hutchinson, Peter, additional, Nikova, Alexandrina, additional, Ghazala, Osama, additional, Buno, Elubabor, additional, Bhattacharjee, Shibashish, additional, Iizuka, Takahiro, additional, Abdullah, Jafri Malin, additional, Chaurasia, Bipin, additional, Morgan, Eghosa, additional, Alcedo-Guardia, Rodolfo E., additional, Lucena, Lynne Lourdes N., additional, Oktay, Kadir, additional, AbdAllah, Omar Ibrahim, additional, Saihi, Ahlem, additional, Abdeldjalil, Gacem, additional, Asmaa, Mahi, additional, Yampolsky, Claudio, additional, Saladino, Laura P., additional, Mannara, Francisco, additional, Sachdev, Sonal, additional, Price, Benjamin, additional, Joris, Vincent, additional, Adeniran Bankole, Nourou Dine, additional, Carrasco, Edgar M., additional, Hodzic, Mirsad, additional, de Sousa Porto, Marcos Wagner, additional, Amorim, Robson, additional, Maldonado, Igor Lima, additional, Yves, Bizoza, additional, Suarez, Gonzalo, additional, Constanzo, Felipe, additional, Valdeblanquez Atencio, Johanna Cecilia, additional, Ruiz Mora, Karen Alexa, additional, Rodriguez Gil, Juan Manuel, additional, Paraskeva, Kiriakos, additional, Egemen, Emrah, additional, Ngamasata, Trevcsor, additional, Ntalaja, Jeff, additional, Beltchika, Antoine, additional, Ntsambi, Glennie, additional, Dunia, Goertz Mirenge, additional, Taha, Mahmoud M., additional, Arnaout, Mohamed, additional, Kirollos, Ramez, additional, Kassem, Mohamed, additional, Elwardany, Omar, additional, Negida, Ahmed, additional, Dolango, Birhanu, additional, Aseged, Mikael, additional, Mldie, Alemu Adise, additional, Laeke, Tsegazeab, additional, Aklilu, Abenezer, additional, Adefris, Esayas, additional, Luoto, Teemu, additional, Behnam, Rezai Jahromi, additional, De Schlichting, Emmanuel, additional, Nassim, Bougaci, additional, Bourdillon, Pierre, additional, Stienen, Martin N., additional, Lackermair, Stephan, additional, Schmidt, Franziska Anna, additional, Konczalla, Juergen, additional, Holzgreve, Adrien, additional, Sagerer, Andre, additional, Weinert, Dieter M., additional, Kumi, Paulette, additional, McLean, Aaron Lawson, additional, Loan, James, additional, Cahill, Julian, additional, Dockrell, Simon, additional, Afshari, Fardad T., additional, May, Paul, additional, Athanasiou, Alkinoos, additional, Papadopoulos, Steven, additional, Espinoza, Edroulfo-Georgios, additional, Chatzisotiriou, Athanasios, additional, Vlachogiannis, Pavlos, additional, Karabatsou, Konstantina, additional, Paschalis, Thanasis, additional, Tsitsipanis, Christos, additional, Longo Calderan, Gabriel Mauricio, additional, Leiva, Ronny, additional, Deora, Harsh, additional, Mukkamala, Sreenivas, additional, Batra, Dipesh, additional, Sukumaran, Arvind, additional, Parmar, Kanishk, additional, Bahl, Anuj, additional, Agrawal, Amit, additional, Dev, Nirankar, additional, Thakur, Nikhil, additional, Behari, Sanjay, additional, Yandrapati, Chandrasekhar B.V.K., additional, Bhoot, Ritesh, additional, Bhatt, Pragnesh, additional, Bhaumik, Uday, additional, Agrawal, Manish, additional, Thomas, Antony, additional, Chandrappa, Harish, additional, Mathur, Ankit, additional, Wahjoepramono, Petra, additional, Oswari, Selfy, additional, Al-Mahfoudh, Rafid, additional, Alnaji, Abbas, additional, Abuhadrous, Nidal, additional, Jarad, Bakr Abo, additional, Nour, Ibrahim, additional, Cohen-Inbar, Or, additional, Colasanti, Roberto, additional, Conti, Alfredo, additional, Raffa, Giovanni, additional, Castrioto, Corrado, additional, Baccanelli, Matteo M., additional, Tomasi, Santino Ottavio, additional, Zoli, Matteo, additional, Veroni, Andrea, additional, Di Cristofori, Andrea, additional, Giannachi, Luigi, additional, Lippa, Laura, additional, Sgubin, Donatella, additional, Broggi, Morgan, additional, Barbato, Marcello, additional, Restelli, Francesco, additional, Ganau, Mario, additional, Taddei, Graziano, additional, Albadawi, Hamzeh, additional, Salameh, Mohammed, additional, Gulmira, Madieyva, additional, Lashhab, Muffaq, additional, El Gaddafi, Walid, additional, Altoumi, Mohammad, additional, Manvinder, S.M., additional, Kanesen, Davendran, additional, Teo, Mario, additional, Sriram, Prabu Rau, additional, Zamri, Sarah Atiqah M., additional, Vinodh, Vayara Perumall, additional, Denou, Moussa, additional, Melhaoui, Adyl, additional, Outani, Oumaima, additional, Boutarbouch, Mahjouba, additional, Gretschel, Armin, additional, Yadav, Pradhumna, additional, Karmacharya, Balgopal, additional, Incekara, Fatih, additional, Boogert, Hugo den, additional, Lopez, Buccket Argvoello, additional, Amadou, Hassane Ali, additional, Sale, Danjuma, additional, Bello, Sanusi, additional, Edward, Poluyi, additional, Ukachukwu, Alvan-Emeka, additional, Nwaribe, Evaristus, additional, Aniaku, Ikechukwu, additional, Ndajiwo, Aliyu Baba, additional, Ayodele, Olabamidele, additional, Bot, Gyang Markus, additional, Ndubuisu Achebe, Sunday David, additional, Jamal, Bakht, additional, Tariq, Muhammad, additional, Farooq, Ghulam, additional, Khan, Danyal Zaman, additional, Khizar, Ahtesham, additional, Hussain, Zahid, additional, Nazir, Anisa, additional, Gonzales-Portillo, Marco, additional, Bautista, Jhosep Silvestre, additional, Torres, Roland A., additional, Javier-Lizan, Abigail, additional, de los Santos, Isagani Jodl G., additional, Morais, Nuno, additional, Dias, Lydia, additional, Noronha, Carolina, additional, Silva, Jovelo Monteiro, additional, Seromenho-Santos, Alexandra, additional, Lozanche, Kiril, additional, Negoi, Ionut, additional, Tascu, Alexandru, additional, Kozyrev, Danil A., additional, Nkeshimana, Menelas, additional, Karekezi, Claire, additional, Ndayishyigikiye, Marcel Didier, additional, Alabbass, Faisal, additional, Farrash, Faisal, additional, Alhazmi, Rawan, additional, Golubovic, Jagos, additional, Lepifá, Milan, additional, Ilifá, Rosanda, additional, Stanimirovifá, Aleksandar, additional, Garcia-Garcia, Sergio, additional, Rodriguez Arias, Carlos A., additional, Lau, Ruth, additional, Delgado-Fernandez, Juan, additional, Arraez, Miguel A., additional, Mateos, C. Fernandez, additional, Castano Leon, Ana M., additional, Wadanamby, Saman, additional, Bervini, David, additional, Shabani, Hamisi K., additional, Limpastan, Kriengsak, additional, Ayadi, Khalil, additional, Sencer, Altay, additional, Yalcinkaya, Ali, additional, Eren, Elif, additional, Basaran, Recep, additional, Gokoglu, Abdulkerim, additional, Mykola, Vyval, additional, Tayong, Felicita, additional, Zuccarello, Mario, additional, Quinsey, Carolyn, additional, Dewan, Michael C., additional, Young, Paul H., additional, Laws, Edward, additional, Rock, Jack, additional, Kurland, David B., additional, Muh, Carrie R., additional, Delgado Aguilar, Eri Dario, additional, Burns, Kenneth, additional, Low, Jacob, additional, Keogh, Conor, additional, Uff, Chris, additional, Spina, Alfio, additional, and Alelyani, Fayez, additional

Published
2020
Full Text
View/download PDF

32. A note on the Littlewood conjecture in positive characteristic.

Author

Ayadi, Khalil

Subjects
*POWER series, *LOGICAL prediction, *CONTINUED fractions, *DIOPHANTINE approximation, *FINITE fields
Abstract

The main purpose of this note is to construct families of pairs of formal power series over a finite field, which satisfy the appropriate analogue of Littlewood's conjecture in Diophantine approximation. On the way, the continued fraction expansion, with linear pattern, of a family of formal power series is given. [ABSTRACT FROM AUTHOR]

Published
2020
Full Text
View/download PDF

36. Diophantine approximation for the cubic root of polynomials of F2[X].

Author

AYADI, KHALIL, HBAIB, MOHAMED, and MAHJOUB, FAIZA

Subjects
*DIOPHANTINE approximation, *POLYNOMIALS, *APPROXIMATION theory, *DIOPHANTINE analysis, *ALGEBRAIC equations
Abstract

In this paper, with different approaches we study rational approximation for the algebraic formal power series in F2((X-1)) solving the irreducible equation α³ = R; where R is a polynomial of F2[X]. Moreover, for some polynomials R, we give explicitly the continued fraction expansion of the root of this equation. [ABSTRACT FROM AUTHOR]

Published
2012

Catalog

Books, media, physical & digital resources
See catalog results