3 papers
math.NT2017
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…
math.NT2017
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…
math.NT2017
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…