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A generalization of the reciprocity law of multiple Dedekind sums

Masahiro Asano (2007)

Annales de l’institut Fourier

Various multiple Dedekind sums were introduced by B.C.Berndt, L.Carlitz, S.Egami, D.Zagier and A.Bayad.In this paper, noticing the Jacobi form in Bayad [4], the cotangent function in Zagier [23], Egami’s result on cotangent functions [14] and their reciprocity laws, we study a special case of the Jacobi forms in Bayad [4] and deduce a generalization of Egami’s result on cotangent functions and a generalization of Zagier’s result. Further, we consider their reciprocity laws.

A generalization of the sizes of differential equations and its applications to $G$ -function theory

Makoto Nagata (2001)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A generalization of the Smarandache function to several variables.

Hungerbühler, Norbert, Specker, Ernst (2006)

Integers

A generalization of the Subbarao identity.

Penntti Haukkanen (1988)

Aequationes mathematicae

A generalization of Voronoï’s Theorem to algebraic lattices

Kenji Okuda, Syouji Yano (2010)

Journal de Théorie des Nombres de Bordeaux

Let $K$ be an algebraic number field and $𝒪_{K}$ the ring of integers of $K$ . In this paper, we prove an analogue of Voronoï’s theorem for $𝒪_{K}$ -lattices and the finiteness of the number of similar isometry classes of perfect $𝒪_{K}$ -lattices.

A geometric method for the approximation by nearest integer continued fractions. (Eine geometrische Methode bei der Approximation durch Kettenbrüche nach dem nächsten Ganzen.)

Kopetzky, Hans Günther, Schnitzer, Franz Josef (1995)

Mathematica Pannonica

Currently displaying 341 – 360 of 16591

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Displaying 341 – 360 of 16591

A generalization of the reciprocity law of multiple Dedekind sums

A generalization of the sizes of differential equations and its applications to $G$ -function theory

A generalization of the Smarandache function to several variables.

A generalization of the Subbarao identity.

A generalization of Voronoï’s Theorem to algebraic lattices

A generalized Euler-Maclaurin formula for the Hurwitz zeta function

A generalized formula of Hardy.

A generalized recurrence for Bell numbers.

A generalized square of the zeta function. The spectral decomposition.

A generating functions proof of a curious identity.

A genus theory for quartic fields.

A geometric characterization of the generators in a quadratic extension of a finite field

A geometric characterization of the generators in an extension of odd prime order of a finite field

A geometric description of the class invariant homomorphism

A geometric method for the approximation by nearest integer continued fractions. (Eine geometrische Methode bei der Approximation durch Kettenbrüche nach dem nächsten Ganzen.)

A geometric proof of Kummer's reciprocity law for seventh powers

A geometric proof to Cantor's theorem and an irrationality measure for some Cantor's series.

A geometrical approach to the theory of Jacobi forms

A Gersten–Witt spectral sequence for regular schemes

A Goldbach theorem for polynomials of low degree over odd finite fields

Currently displaying 341 – 360 of 16591