Skip to main content
Download PDF
- Main
Combinatorial congruences and ψ-operators
- Author(s): Wan, D
- et al.
Published Web Location
https://doi.org/10.1016/j.ffa.2005.08.006Abstract
The ψ-operator for (φ{symbol}, Γ)-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 ψ-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]. © 2005 Elsevier Inc. All rights reserved.
Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.