Solvable lattice sums and quadratic Dirichlet $L$-values

DOI10.4064/aa201104-31-8zbMath1501.11053OpenAlexW4226482536MaRDI QIDQ5084400

Tao Wei, Xue Jun Guo

Publication date: 24 June 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa201104-31-8

zbMATH Keywords

Hecke \(L\)-functionEpstein zeta functionCM modular forms

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45)

Cites Work

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• CM newforms with rational coefficients
• Mahler measure of 3D Landau-Ginzburg potentials
• RAMANUJAN SERIES UPSIDE-DOWN
• Exact values of some two-dimensional lattice sums
• A systematic approach to the evaluation of Σ_(m,n>0)(am²+bmn+cn²)^-s
• Genus character L‐functions of quadratic orders and class numbers
• Binary theta series and modular forms with complex multiplication
• The evaluation of lattice sums. II. Number-theoretic approach

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