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On a class of Epstein zeta functions

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Publication:1708152
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zbMath1434.11094MaRDI QIDQ1708152

Sami Omar

Publication date: 4 April 2018

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1515466829


zbMATH Keywords

class numberRiemann hypothesisEpstein zeta functionLi's criterion


Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • On the Li coefficients for the Hecke \(L\)-functions
  • Li's criterion and the Riemann hypothesis for the Selberg class
  • Corrigendum and addendum to: Li's criterion and the Riemann hypothesis for the Selberg class
  • A generalization of gamma functions and Kronecker's limit formulas
  • Complements to Li's criterion for the Riemann Hypothesis
  • The positivity of a sequence of numbers and the Riemann hypothesis
  • Explicit formulas for Dirichlet and Hecke \(L\)-functions
  • A Kronecker limit formula for real quadratic fields
  • On Kronecker limit formulas for real quadratic fields
  • Gauss’ class number problem for imaginary quadratic fields


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