[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2022.35.1.1

RUDNICK AND SOUNDARARAJAN'S THEOREM FOR FUNCTION FIELDS IN EVEN CHARACTERISTIC

Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.35, no.1, 2022 , pp. 1-12 More about this Journal

Abstract

In this paper we prove an even characteristic analogue of the result of Andrade on lower bounds for moment of quadratic Dirichlet L-functions in odd characteristic. We establish lower bounds for the moments of Dirichlet L-functions of characters defined by Hasse symbols in even characteristic.

Keywords

Function fields; Lower bounds for moments; Moments of L-functions; Quadratic Dirichlet L-functions; Even characteristic;

Citations & Related Records

Reference

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3	J. Andrade, Rudnick and Soundararajan's theorem for function fields, Finite Fields Appl., 37 (2016), 311-327. DOI
4	Z. Rudnick and K. Soundararajan, Lower bounds for moments of L-functions, Proc. Natl. Acad. Sci., 102 (2005), 6837-6838. DOI