7 citations · 8 across the 7 of their papers we have counts for
7 papers
Notes on Explicit Constructions of Arithmetically Equivalent Global Function Fields via Torsion Points On Drinfeld Modules
Pavel Solomatin
In this short note we provide a few examples of non-isomorphic arithmetically equivalent global function fields. These examples are obtained via well-known technique of adjoining t…
A Note on Number Fields Sharing the List of Dedekind Zeta-Functions of Abelian Extensions with some Applications towards the Neukirch-Uchida Theorem
Pavel Solomatin
Given a number field one associates to it the set of Dedekind zeta-functions of finite abelian extensions of . In this short note we present a proof of the following T…
A remark On Abelianized Absolute Galois Group of Imaginary Quadratic Fields
Bart de Smit, Pavel Solomatin
The main purpose of this paper is to extend results on isomorphism types of the abelianized absolute Galois group , where denotes imaginary quadratic field.…
On Abelianized Absolute Galois Group of Global Function Fields
Bart de Smit, Pavel Solomatin
The main purpose of this paper is to describe the abelian part of the absolute Galois group of a global function field as pro-finite group. We will show t…
On Artin L-functions and Gassmann Equivalence for Global Function Fields
Pavel Solomatin
In this paper we present an approach to study arithmetical properties of global function fields by working with Artin L-functions. In particular we recall and then extend a criteri…
L-functions of Genus Two Abelian Coverings of Elliptic Curves over Finite Fields
Pavel Solomatin
Initially motivated by the relations between Anabelian Geometry and Artin's L-functions of the associated Galois-representations, here we study the list of zeta-functions of genus…