Generalized Eisenstein series and modified Dedekind sums.
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Publication:4046119
DOI10.1515/crll.1975.272.182zbMath0294.10018OpenAlexW1543649863MaRDI QIDQ4046119
Publication date: 1975
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002190060
Modular and automorphic functions (11F03) Arithmetic functions; related numbers; inversion formulas (11A25) Automorphic forms, one variable (11F12)
Related Items (18)
Relations between theta-functions, Hardy sums, Eisenstein and Lambert series in the transformation formula of log \(\eta_{g,h}(z)\). ⋮ \(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series ⋮ On generalized Eisenstein series and Ramanujan's formula for periodic zeta-functions ⋮ Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals ⋮ Applications of the theory of modular forms to number theory ⋮ Generalized eta-functions and certain ray class invariants of real quadratic fields ⋮ Elementary proof of the transformation formula for Lambert series involving generalized Dedekind sums ⋮ Dedekind sums with roots of unity and their reciprocity law ⋮ On series identities arising from Jacobi’s identity of the theta function ⋮ Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series ⋮ On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series ⋮ Reciprocity theorems for Dedekind sums and generalizations ⋮ On multiple analogues of Ramanujan's formulas for certain Dirichlet series ⋮ Higher-order character Dedekind sum ⋮ ON SOME SERIES IDENTITIES ⋮ Generalized Eisenstein series and several modular transformation formulae ⋮ Cotangent sums, a further generlization of Dedekind sums ⋮ ANALYTIC CONTINUATION OF GENERALIZED NON-HOLOMORPHIC EISENSTEIN SERIES
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