scientific article; zbMATH DE number 7316792

zbMath1456.11153MaRDI QIDQ4965500

Mithun Kumar Das, Abhishek Juyal

Publication date: 2 March 2021

Full work available at URL: http://www.mathjournals.org/jrms/2020-035-004/2020-035-004-004.html

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zbMATH Keywords

Dedekind sumsDirichlet \(L\)-series

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Dedekind eta function, Dedekind sums (11F20) Trigonometric and exponential sums (general theory) (11L03) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

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• On a secant Dirichlet series and Eichler integrals of Eisenstein series
• On the mean values of Dirichlet \(L\)-functions
• On the twisted quadratic moment for Dirichlet \(L\)-functions
• Basic trigonometric power sums with applications
• On the Hurwitz function for rational arguments
• The logarithm of the Dedekind \(\eta\)-function
• Partial fractions and trigonometric identities
• Explicit evaluations and reciprocity theorems for finite trigonometric sums
• Secant zeta functions
• Special values of trigonometric Dirichlet series and Eichler integrals
• Higher dimensional Dedekind sums
• The mean value of |L(k,χ)|²at positive rational integers k≥1
• TWISTED QUADRATIC MOMENTS FOR DIRICHLET L-FUNCTIONS
• Arrangements of curves and algebraic surfaces
• Dedekind Sums and a Paper of G. H. Hardy
• Zones of large and small values for Dedekind sums
• A twisted quadratic moment for Dirichlet $L$-functions

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