Restricted sums of subsets of ℤ
Zhi-Wei Sun (2001)
Acta Arithmetica
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Zhi-Wei Sun (2001)
Acta Arithmetica
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Tingting Wang (2012)
Acta Arithmetica
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L. Carlitz (1980)
Acta Arithmetica
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Vsevolod F. Lev (2008)
Acta Arithmetica
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Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
Acta Arithmetica
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Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
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Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Martikainen, A.I. (2004)
Zapiski Nauchnykh Seminarov POMI
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Sun, Zhiwei (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Dirk Daemen (2010)
Acta Arithmetica
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Chang Leran, Li Xiaoxue (2016)
Open Mathematics
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In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.
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].
Huaning Liu, Wenpeng Zhang (2007)
Acta Arithmetica
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Wenpeng Zhang (2003)
Acta Arithmetica
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