On Some Sets Of Integers With Equal Sums Of Like Powers
Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
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Alfred Moessner, George Xeroudakes (1954)
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Borwein, Jonathan M., Girgensohn, Roland (1996)
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Vsevolod F. Lev (2008)
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Zhi-Wei Sun (2001)
Acta Arithmetica
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Prodinger, Helmut (2008)
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Tingting Wang (2012)
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Huaning Liu, Wenpeng Zhang (2007)
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L. Carlitz (1980)
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Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
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Patkowski, Alexander E. (2010)
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Sun, Zhiwei (2003)
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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].
T. H. Chan, A. V. Kumchev (2012)
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Koichi Kawada, Trevor D. Wooley (2002)
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Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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