7 citations · 16 across the 11 of their papers we have counts for
11 papers
Special hypergeometric motives and their -functions: Asai recognition
Lassina Dembélé, Alexei Panchishkin, John Voight +1
We recognize certain special hypergeometric motives, related to and inspired by the discoveries of Ramanujan more than a century ago, as arising from Asai -functions of Hilbert…
Graded structures and differential operators on nearly holomorphic and quasimodular forms on classical groups
Alexei Panchishkin
We wish to use graded structures [KrVu87], [Vu01] on dffierential operators and quasimodular forms on classical groups and show that these structures provide a tool to construct p-…
On Zeta Functions and Families of Siegel Modular Forms
Alexei Panchishkin
Let be a prime, and let $Γ=\Sp_g(\Z)$ be the Siegel modular group of genus . We study -adic families of zeta functions and Siegel modular forms. -functions of Siegel m…
Modular forms and -adic numbers (in Russian)
Alexei Panchishkin
Let be a prime. We discuss -adic properties of various arithmetical functions related to the coefficients of modular form and generating functions. Modular forms are conside…
Local and global methods in arithmetic (in Russian)
Alexei Panchishkin
Let be a prime. We discuss methods of solution of congruences modulo using -adic numbers; these methods are similar to computations with real numbers (local methods).…
Explicit formulas for Hecke operators and Rankin's lemma in higher genus
Alexei Panchishkin, Kirill Vankov
We develop explicit formulas for Hecke operators of higher genus in terms of spherical coordinates. Applications are given to summation of various generating series with coefficien…