Li's criterion for Epstein zeta functions, generalization of Kronecker's limit formula and the Gauss problem

DOI10.1016/j.jnt.2015.06.008zbMath1400.11091OpenAlexW1457148676MaRDI QIDQ495275

Sami Omar, Francis C. S. Brown

Publication date: 9 September 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.06.008

zbMATH Keywords

Dedekind zeta functionRiemann hypothesisKronecker's limit formulaEpstein zeta functionsGauss problem

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42)

Related Items (4)

A computational approach to the generalized Riemann hypothesis ⋮ On a generalization of Kronecker's limit formula ⋮ Polyharmonic weak Maass forms of higher depth for \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ A note on Li’s coefficients for Hecke L-functions

Cites Work

• 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
• 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
• Li's criterion and zero-free regions of \(L\)-functions
• Gauss’ class number problem for imaginary quadratic fields

This page was built for publication: Li's criterion for Epstein zeta functions, generalization of Kronecker's limit formula and the Gauss problem