Generalized Dedekind sums.
L. Carlitz (1964)
Mathematische Zeitschrift
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Displaying similar documents to “Eisenstein Series and the Distribution of Dedekind Sums.”
Generalized Dedekind sums.
On a lemma of Littlewood and Offord on the distribution of certain sums.
Daniel J. Kleitman (1965)
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On Eisenstein series with characters and Dedekind sums
Chizuru Sekine (2005)
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Poincaré Series for GL (n): Fourier Expansion, Kloosterman Sums, and Algebreo-Geometric Estimates.
Solomon Friedberg (1987)
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On the Values of the Dedekind Sum.
G. Myerson (1985)
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On sums of like powers
K.S. Rao (1936)
Mathematische Zeitschrift
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On equal sums of like powers
K.S. Rao (1935)
Mathematische Zeitschrift
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E-Function Series whose Sums are Constants.
F.M. Ragab, T.M. MacRobert (1962)
Mathematische Zeitschrift
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A reciprocity theorem and a three-term relation for generalized Dedekind-Rademacher sums
L. Carlitz (1980)
Acta Arithmetica
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Sums of Powers of Cusp Form Coefficients.
R.A. Rankin (1983)
Mathematische Annalen
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On the distribution of inverses modulo p (II)
Wenpeng Zhang (2001)
Acta Arithmetica
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Dedekind sums and signatures of intersection forms.
Robert Sczech (1994)
Mathematische Annalen
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Generalizations of Dedekind sums and their reciprocity laws
Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
Acta Arithmetica
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Equality of Dedekind sums modulo 8ℤ
Emmanuel Tsukerman (2015)
Acta Arithmetica
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Using a generalization due to Lerch [Bull. Int. Acad. François Joseph 3 (1896)] of a classical lemma of Zolotarev, employed in Zolotarev's proof of the law of quadratic reciprocity, we determine necessary and sufficient conditions for the difference of two Dedekind sums to be in 8ℤ. These yield new necessary conditions for equality of two Dedekind sums. In addition, we resolve a conjecture of Girstmair [arXiv:1501.00655].