Mathematics > Number Theory
[Submitted on 11 Sep 2007]
Title:Modular forms and $p$-adic numbers (in Russian)
View PDFAbstract: 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.
Submission history
From: Alexei Panchishkin [view email][v1] Tue, 11 Sep 2007 12:50:13 UTC (439 KB)
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