96 citations · 127 across the 9 of their papers we have counts for
9 papers
Quadratic residue patterns and point counting on K3 surfaces
Valentina Kiritchenko, Mikhail Tsfasman, Serge Vladuts +1
Quadratic residue patterns modulo a prime are studied since 19th century. We state the last unpublished result of Lydia Goncharova, reformulate it and prior results in terms of alg…
Complete Description of Measures Corresponding to Abelian Varieties over Finite Fields
Nikolai S. Nadirashvili, Michael A. Tsfasman
We study probability measures corresponding to families of abelian varieties over a finite field. These measures play an important role in the Tsfasman- Vladuts theory of asymptoti…
Arithmetic, Geometry, and Coding Theory: Homage to Gilles Lachaud
Sudhir R. Ghorpade, Christophe Ritzenthaler, François Rodier +1
We give an overview of several of the mathematical works of Gilles Lachaud and provide a historical context. This is interspersed with some personal anecdotes highlighting many fac…
Brauer-Siegel theorem for elliptic surfaces
B. E. Kunyavskii, M. A. Tsfasman
We consider higher-dimensional analogues of the classical Brauer-Siegel theorem focusing on the case of abelian varieties over global function fields. We prove such an analogue in…
Asymptotic behaviour of the Euler-Kronecker constant
Michael Tsfasman
This appendix to the beautiful paper of Ihara puts it in the context of infinite global fields of our papers. We study the behaviour of Euler--Kronecker constant when the…
Schubert Varieties, Linear Codes and Enumerative Combinatorics
Sudhir R. Ghorpade, Michael A. Tsfasman
We consider linear error correcting codes associated to higher dimensional projective varieties defined over a finite field. The problem of determining the basic parameters of such…