Degenerate and character Dedekind sums
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Publication:880060
DOI10.1016/j.jnt.2006.09.006zbMath1127.11034OpenAlexW2063413513MaRDI QIDQ880060
Mümün Can, Mehmet Cenkci, Veli Kurt
Publication date: 10 May 2007
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2006.09.006
Related Items (12)
Transformation formulas of a character analogue of $\log \theta _{2}(z)$ ⋮ A new generalization of Hardy-Berndt sums ⋮ A REPRESENTATION OF DEDEKIND SUMS WITH QUASI-PERIODICITY EULER FUNCTIONS ⋮ On generalized Eisenstein series and Ramanujan's formula for periodic zeta-functions ⋮ On generalized Dedekind sums involving quasi-periodic Euler functions ⋮ Dedekind sums arising from newform Eisenstein series ⋮ Character analogue of the Boole summation formula with applications ⋮ Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series ⋮ CHARACTER ANALOGUES OF CERTAIN HARDY–BERNDT SUMS ⋮ Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums ⋮ Higher-order character Dedekind sum ⋮ On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials
Cites Work
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- Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications
- Reciprocity theorems for Dedekind sums and generalizations
- On generalized Dedekind sums
- Explicit formulas for degenerate Bernoulli numbers
- Derivatives of Dedekind sums and their reciprocity law.
- Generalized Dedekind sums
- Generalized Dedekind sums and transformation formulae of certain Lambert series
- On Eisenstein series with characters and the values of Dirichlet L-functions
- Generalizations of Dedekind sums and their reciprocity laws
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