On a generalization of Kronecker's limit formula

DOI10.1007/s11139-016-9809-xzbMath1426.11031OpenAlexW2507541087MaRDI QIDQ681075

Sami Omar

Publication date: 30 January 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9809-x

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) Other Dirichlet series and zeta functions (11M41)

Cites Work

• On the Li coefficients for the Hecke \(L\)-functions
• Li's criterion for Epstein zeta functions, generalization of Kronecker's limit formula and the Gauss problem
• 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
• Unnamed Item

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