1 citations · 2 across the 12 of their papers we have counts for
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Large values of short character sums
Alexander Kalmynin
In this paper, we prove that for any there exist infinitely many primes for which sums of the Legendre symbol modulo over an interval of length can take l…
Omega-theorems for the Riemann zeta function and its derivatives near the line
Alexander Kalmynin
We introduce a generalization of the method of S. P. Zaitsev. This generalization allows us to prove omega-theorems for the Riemann zeta function and its derivatives in some region…
Novák-Carmichael numbers and shifted primes without large prime factors
Alexander Kalmynin
We prove some new lower bounds for the counting function of the set of Novák-Carmichael numbers. Our estimates depend on the bounds for the number of s…
Intervals between numbers that are sums of two squares
Alexander Kalmynin
In this paper, we improve the moment estimates for the gaps between numbers that can be represented as a sum of two squares of integers. We consider certain sum of Bessel functions…