Higher Dimensional Dedekind Sums.
Don Zagier (1973)
Mathematische Annalen
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Displaying similar documents to “Dedekind sums and signatures of intersection forms.”
Higher Dimensional Dedekind Sums.
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The Logarithm of the Dedekind n-Function.
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Generalized Dedekind sums.
L. Carlitz (1964)
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A reciprocity theorem and a three-term relation for generalized Dedekind-Rademacher sums
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Kloosterman sums as algebraic integers.
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The representation of integers as sums of pyramidal numbers .
R.D. James (1934)
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Generalizations of Dedekind sums and their reciprocity laws
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Equality of Dedekind sums modulo 8ℤ
Emmanuel Tsukerman (2015)
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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].
Restricted sums of subsets of ℤ
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Poincaré Series on GL (r) and Kloostermann Sums.
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