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.NT2024

Omega theorem for fractional sigma function

Yuan Qiu, Alexander B. Kalmynin

The research in the subfield of analytic number theory around error term of summation of sigma functions possesses a history which can be dated back to the mid-19th century when Di…

math.NT2024

Sums of squares and sequences of modular forms

Alexander Kalmynin

Let $h_{n} (v)$ be the sequence of rational functions with $\frac{h _{n} ( v )}{v} - n h_{n} (v) + (n - 1) h_{n - 1} (v) - v h_{n - 1}^{'} (v) + \frac{v ( v ( v h _{n - 1} ( v ) ) ^{'} ) ^{'}}{4} = 0$ for $n > 0$ and $h_{0} (v) = 1$ . We pro…