A. Panchishkin

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math.NT2007

On Zeta Functions and Families of Siegel Modular Forms

Alexei Panchishkin

Let $p$ be a prime, and let $Γ=\Sp_g(\Z)$ be the Siegel modular group of genus $g$ . We study $p$ -adic families of zeta functions and Siegel modular forms. $L$ -functions of Siegel m…

math.NT2007

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

Alexei Panchishkin

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 conside…

math.NT2007

Local and global methods in arithmetic (in Russian)

Alexei Panchishkin

Let $p$ be a prime. We discuss methods of solution of congruences modulo $p^{n}$ using $p$ -adic numbers; these methods are similar to computations with real numbers (local methods).…

On Zeta Functions and Families of Siegel Modular Forms

Modular forms and p-adic numbers (in Russian)

Local and global methods in arithmetic (in Russian)

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