A. Kalmynin

activity

20162025

most citedLong nonnegative sums of Legendre symbols

1 citations · 2 across the 12 of their papers we have counts for

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math.NT2023

Large gaps between sums of two squareful numbers

Alexander Kalmynin, Sergei Konyagin

Let $M (x)$ be the length of the largest subinterval of $[1, x]$ which does not contain any sums of two squareful numbers. We prove a lower bound \[ M(x)\gg \frac{\ln x}{(\ln\ln x)^2…

math.NT2023

A polynomial analogue of Jacobsthal function

Alexander Kalmynin, Sergei Konyagin

For a polynomial $f (x) \in Z [x]$ we study an analogue of Jacobsthal function, defined by the formula \[ j_f(N)=\max_{m}\{\text{For some } x\in \mathbb N \text{ the inequalit…