On the distribution of zeroes of Artin-Schreier L-functions

Alexei Entin

doi:10.1007/s00039-012-0192-5

On the distribution of zeroes of Artin-Schreier L-functions

Alexei Entin

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

We study the distribution of the zeroes of the L-functions of curves in the Artin-Schreier family. We consider the number of zeroes in short intervals and obtain partial results which agree with a random unitary matrix model.

Original language	English
Pages (from-to)	1322-1360
Number of pages	39
Journal	Geometric and Functional Analysis
Volume	22
Issue number	5
DOIs	https://doi.org/10.1007/s00039-012-0192-5
State	Published - Oct 2012

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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10.1007/s00039-012-0192-5

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abstract = "We study the distribution of the zeroes of the L-functions of curves in the Artin-Schreier family. We consider the number of zeroes in short intervals and obtain partial results which agree with a random unitary matrix model.",

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year = "2012",

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JO - Geometric and Functional Analysis

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On the distribution of zeroes of Artin-Schreier L-functions

Abstract

All Science Journal Classification (ASJC) codes

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