On the value distribution and moments of the Epstein zeta function to the right of the critical strip

Södergren, Anders

Open PDF

Open link

Publication date

July 2011

DOI

10.1016/j.jnt.2010.12.003

Publisher

Elsevier Inc.

ISSN

0022-314X

Citation count (estimate)

Abstract

AbstractWe study the Epstein zeta function En(L,s) for s>n2 and a random lattice L of large dimension n. For any fixed c>12 we determine the value distribution and moments of En(⋅,cn) (suitably normalized) as n→∞. We further discuss the random function c↦En(⋅,cn) for c∈[A,B] with 12<A<B and determine its limit distribution as n→∞

Extracted data

We use cookies to provide a better user experience.

Data Protection

On the value distribution and moments of the Epstein zeta function to the right of the critical strip

Abstract

Extracted data

On the value distribution and moments of the Epstein zeta function to the right of the critical strip

Abstract

Extracted data

Related items

Related items