17 citations · 51 across the 22 of their papers we have counts for
4 papers · 1 filter
Equality of Dedekind sums mod
Emmanuel Tsukerman
Using a generalization due to Lerch [M. Lerch, Sur un théorème de Zolotarev. Bull. Intern. de l'Acad. François Joseph 3 (1896), 34-37] of a classical lemma of Zolotarev, employed i…
Equality of Dedekind sums mod and
Emmanuel Tsukerman
In [Girstmair, A criterion for the equality of Dedekind sums mod , Internat. J. Number Theory 10: (2014) 565--568], it was shown that the necessary condition $b \mid (a…
The -adic Order of Power Sums, the Erdös-Moser Equation, and Bernoulli Numbers
Jonathan Sondow, Emmanuel Tsukerman
The Erdös-Moser equation is a Diophantine equation proposed more than 60 years ago which remains unresolved to this day. In this paper, we consider the problem in terms of divisibi…
Fourier-Dedekind Sums and an Extension of Rademacher Reciprocity
Emmanuel Tsukerman
Fourier-Dedekind sums are a generalization of Dedekind sums - important number-theoretical objects that arise in many areas of mathematics, including lattice point enumeration, sig…