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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137736Let $p$ 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.in Russian, 2 figuresNumber Theory11F33Modular forms and $p$-adic numbers (in Russian)text