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Combinatorial congruences and -operators
- Source :
-
Finite Fields & Their Applications . Nov2006, Vol. 12 Issue 4, p693-703. 11p. - Publication Year :
- 2006
-
Abstract
- Abstract: The -operator for -modules plays an important role in the study of Iwasawa theory via Fontaine''s big rings. In this note, we prove several sharp estimates for the -operator in the cyclotomic case. These estimates immediately imply a number of sharp p-adic combinatorial congruences, one of which extends the classical congruences of Fleck (1913) and Weisman [Some congruences for binomial coefficients, Michigan Math. J. 24 (1977) 141–151]. [Copyright &y& Elsevier]
- Subjects :
- *BINOMIAL coefficients
*MATHEMATICS
*ALGEBRAIC fields
*BINOMIAL theorem
Subjects
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 12
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 22593242
- Full Text :
- https://doi.org/10.1016/j.ffa.2005.08.006