Generalized Dedekind sums and transformation formulae in function fields

DOI10.1016/j.jnt.2016.09.017zbMath1420.11075OpenAlexW2552127365MaRDI QIDQ730044

Yoshinori Hamahata

Publication date: 23 December 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.09.017

zbMATH Keywords

function fieldsLambert seriesDedekind sums

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Dedekind eta function, Dedekind sums (11F20)

Cites Work

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• Action of Hecke operators on two distinguished Drinfeld modular forms
• Arithmetic of higher dimensional Dedekind-Rademacher sums
• Analogies of Dedekind sums in function fields
• A non-standard Fourier expansion for the Drinfeld discriminant function
• On the coefficients of Drinfeld modular forms
• Elementary proof of the transformation formula for Lambert series involving generalized Dedekind sums
• On hyperderivatives of single-cuspidal Drinfeld modular forms with \(\mathcal{A}\)-expansions
• \(A\)-expansions of Drinfeld modular forms
• A construction of \(\mathfrak{v}\)-adic modular forms
• Generalized Dedekind sums and transformation formulae of certain Lambert series
• Dedekind sums and the transformation formula in function fields
• DENOMINATORS OF DEDEKIND SUMS IN FUNCTION FIELDS
• Multiple Dedekind–Rademacher sums in function fields
• Higher dimensional Dedekind sums in function fields
• Hyperdifferential Properties of Drinfeld Quasi-Modular Forms
• The algebraist’s upper half-plane
• On the zeroes of Goss polynomials

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