M. Z. Garaev

most citedWaring problem with the Ramanujan

τ

-function

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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,…

Multiplicative decomposition of arithmetic progressions in prime fields

Waring problem with the Ramanujan τ-function

Waring problem with the Ramanujan $τ$ -function