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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| Format: | Article |
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AMER INST PHYSICS
2008
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| Online Access: | http://shdl.mmu.edu.my/2299/ |