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math.NT2009
The Erdos-Turan problem in infinite groups
Sergei V. Konyagin, Vsevolod F. Lev
Let be an infinite abelian group with . We show that if is not the direct sum of a group of exponent 3 and the group of order 2, then possesses a perfect addi…
math.NT2002
Spectra of certain types of polynomials and tiling of integers with translates of finite sets
Sergei Konyagin, Izabella Laba
We consider two number-theoretic problems arising from Fuglede's spectral set conjecture: characterizing finite sets that tile integers, and finding polynomials with (0,1) coeffici…