On the minima and convexity of Epstein zeta function

On the minima and convexity of Epstein zeta function

Let Z(n)(s;a(1), ... ,a(n)) be the Epstein zeta function defined as the meromorphic continuation of the function Sigma(n)(k is an element of Z)\{0}(Sigma(n)(i=1)[a(i)k(i)](2))(-s), Re s>n/2 to the complex plane. We show that for fixed s not equal n/2, the function Z(n)(s;a(1), ... ,a(n)) as a fun...

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Bibliographic Details
Main Authors: Lim, S. C., Teo, L. P.
Format: Article
Published: AMER INST PHYSICS 2008
Subjects:
T Technology (General)
QC Physics
Online Access:http://shdl.mmu.edu.my/2299/

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