Modular forms and $p$-adic numbers (in Russian)

Details Modular forms and $p$-adic numbers (in Russian) Modular forms and $p$-adic numbers (in Russian)

2007-09-11

arxiv.org/abs/0709.1611v1

Mathematics

Number Theory

in Russian, 2 figures

Scientific paper

Let $p$ be a prime. We discuss $p$-adic properties of various arithmetical
functions related to the coefficients of modular form and generating functions.
Modular forms are considered as a tool of solving arithmetical problems.
Examples of congruences between modular forms modulo $p$ and modulo $p^n$ are
given, and the use of a computer for the study of modular forms is illistrated.

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