• Corpus ID: 119318133

On Artin L-functions and Gassmann Equivalence for Global Function Fields

@article{Solomatin2016OnAL,
  title={On Artin L-functions and Gassmann Equivalence for Global Function Fields},
  author={Pavel Solomatin},
  journal={arXiv: Number Theory},
  year={2016}
}
  • P. Solomatin
  • Published 18 October 2016
  • Mathematics
  • arXiv: Number Theory
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 criteria of two function fields to be arithmetically equivalent in terms of Artin L-functions of representations associated to the common normal closure of those fields. We provide few examples of such non-isomorphic fields and also discuss an algorithm to construct many such examples by using torsion points on elliptic… 
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