Explicit evaluations and reciprocity theorems for finite trigonometric sums

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Cites Work

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On a conjecture of R. F. Scott (1881)
On certain sums generating the Dedekind sums and their reciprocity laws
Cotangent sums, a further generlization of Dedekind sums
On a trigonometrical sum
Conformal field theory and the cohomology of the moduli space of stable bundles
Reciprocity theorems for Dedekind sums and generalizations
Über eine topologische und zahlentheoretische Anwendung von Hirzebruchs Spitzenauflösung
Some Diophantine relations involving circular functions of rational angles
Partial fractions and trigonometric identities
A note on trigonometric sums arising in gauge theory
Modular forms, generalized Dedekind symbols and period polynomials
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New trigonometric identities and generalized Dedekind sums
Multiple cotangent and generalized eta functions
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Dedekind symbols associated with J-forms and their reciprocity law.
The elliptic Apostol-Dedekind sums generate odd Dedekind symbols with Laurent polynomial reciprocity laws
Beispiele zur Differentialtopologie von Singularitäten
Higher dimensional Dedekind sums
Equivariant Pontrjagin classes and applications to orbit spaces. Applications of the G-signature theorem to transformation groups, symmetric products and number theory
Theorems on generalized Dedekind sums
A proof of a transformation formula in the theory of partitions
A note on generalized Dedekind sums
The Reciprocity Law for Dedekind Sums via the Constant Ehrhart Coefficient
Multiple Franel integrals
Analytic Properties of Arithmetic Sums Arising in the Theory of the Classical Theta-Functions
Heat kernel expansion on a generalized cone
Exponential Sums of Lerch's Zeta Functions
Proof of a Conjecture of 1881 on Permanents
Invariants of finite groups and their applications to combinatorics
Elementary Evaluation of ζ(2n)
Dedekind Sums and a Paper of G. H. Hardy
On an extension of a theorem of S. Chowla
Asymptotic Formulas and Generalized Dedekind Sums
Some integer-valued trigonometric sums
Dedekind cotangent sums
Some trigonometric identities encountered by McCoy and Orrick
Some trigonometric identities. II
Dedekind-Rademacher Sums
On ∑∞n = 1 (1/n2k)
A Simple Proof of the Formula ∑ ∞ k = 1 = π 2 /6
Another Elementary Proof of Euler's Formula for ζ(2n)

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