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Difference Galois Theory for the 'Applied' Mathematician
- Source :
- Lecture Notes in Mathematics ISBN: 9783030662486, Arithmetic and geometry over local fields, Arithmetic and geometry over local fields, 2275, pp.29--59, 2021, Lecture Notes in Mathematics, 978-3-030-66249-3. ⟨10.1007/978-3-030-66249-3⟩, HAL
- Publication Year :
- 2020
- Publisher :
- Springer International Publishing, 2020.
-
Abstract
- The lecture notes below correspond to the course given by the author in occasion of the VIASM school on Number Theory (18–24 June 2018, Hanoi). We have chosen to omit the proofs that are already presented in details in many references in the literature, although they were explained during the lectures, and we have devoted more space to statements useful in the applications. The applications concern many different mathematical settings, where linear difference equations naturally arise. We cite in particular the case of Drinfeld modules, which is considered in [Pel] and [TR].
- Subjects :
- [MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC]
010102 general mathematics
Galois theory
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
0102 computer and information sciences
16. Peace & justice
Space (mathematics)
Mathematical proof
01 natural sciences
[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
Algebra
Number theory
010201 computation theory & mathematics
[MATH]Mathematics [math]
0101 mathematics
Mathematics
Subjects
Details
- ISBN :
- 978-3-030-66248-6
978-3-030-66249-3 - ISBNs :
- 9783030662486 and 9783030662493
- Database :
- OpenAIRE
- Journal :
- Lecture Notes in Mathematics ISBN: 9783030662486, Arithmetic and geometry over local fields, Arithmetic and geometry over local fields, 2275, pp.29--59, 2021, Lecture Notes in Mathematics, 978-3-030-66249-3. ⟨10.1007/978-3-030-66249-3⟩, HAL
- Accession number :
- edsair.doi.dedup.....c600c20bf4703cec25a3c50d72a9bf88
- Full Text :
- https://doi.org/10.1007/978-3-030-66249-3_2