Sergeĭ Konyagin

activity

20022013

most citedWaring problem with the Ramanujan

τ

-function

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2013

Multiplicative decomposition of arithmetic progressions in prime fields

M. Z. Garaev, S. V. Konyagin

We prove that there exists an absolute constant $c > 0$ such that if an arithmetic progression $\cP$ modulo a prime number $p$ does not contain zero and has the cardinality less than…

math.NT2006★ 1 cited

Waring problem with the Ramanujan $τ$ -function

M. Z. Garaev, V. C. Garcia, S. V. Konyagin

Let $τ (n)$ be the Ramanujan $τ$ -function. We prove that for any integer $N$ the diophantine equation $i = 1 \sum 74000 τ (n_{i}) = N$ has a solution in positive integers $n_1, n_2,…

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…

Multiplicative decomposition of arithmetic progressions in prime fields

Waring problem with the Ramanujan τ-function

Spectra of certain types of polynomials and tiling of integers with translates of finite sets

Waring problem with the Ramanujan $τ$ -function