SIGN CHANGES IN SHORT INTERVALS OF COEFFICIENTS OF SPINOR ZETA FUNCTION OF A SIEGEL CUSP FORM OF GENUS 2-Reference-Cited by-同舟云学术

SIGN CHANGES IN SHORT INTERVALS OF COEFFICIENTS OF SPINOR ZETA FUNCTION OF A SIEGEL CUSP FORM OF GENUS 2

Published:2014-02-20 Issue:02 Volume:10 Page:327-339
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

ROYER EMMANUEL¹,SENGUPTA JYOTI²,WU JIE³

Affiliation:

1. Laboratoire de Mathématiques, Clermont Université, Université Blaise Pascal, BP 10448, F-63000 Clermont-Ferrand, France

2. School of Mathematics, T.I.F.R., Homi Bhabha Road, 400 005 Mumbai, India

3. CNRS, Institut Élie Cartan de Lorraine, UMR 7502, F-54506, Vandœuvre-lès-Nancy, France

Abstract

In this paper, we establish a Voronoi formula for the spinor zeta function of a Siegel cusp form of genus 2. We deduce from this formula quantitative results on the number of its positive (respectively, negative) coefficients in some short intervals.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042113500966

Reference19 articles.

1. On Hecke eigenforms in the Maaß space

2. THE FIRST NEGATIVE HECKE EIGENVALUE OF GENUS 2 SIEGEL CUSPFORMS WITH LEVEL N ≥ 1

3. The approximate functional equation for a class of zeta-functions

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