Max A. Alekseyev

activity

20162026

most citedOn p-adic approximation of sums of binomial coefficients

1 citations · 1 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.QA2025

Classifying integral Grothendieck rings up to rank 5 and beyond

Max A. Alekseyev, Winfried Bruns, Jingcheng Dong +1

In this paper, we define a Grothendieck ring as a fusion ring categorifiable into a fusion category over the complex field. An integral fusion ring is called Drinfeld if all its fo…

math.NT2025

Generalization of Ramanujan's formula for sums of half-integer powers of consecutive integers via formal Bernoulli series

Max A. Alekseyev, Rafael Gonzalez, Keryn Loor +2

Faulhaber's formula expresses the sum of the first $n$ positive integers, each raised to an integer power $p \geq 0$ , as a polynomial in $n$ of degree $p + 1$ . Ramanujan expressed thi…

math.NT2025

On the $p$ -adic valuations of values of Legendre polynomials

Max A. Alekseyev, Tewodros Amdeberhan, Jeffrey Shallit +1

We prove an explicit formula for the $p$ -adic valuation of the Legendre polynomials $P_{n} (x)$ evaluated at a prime $p$ , and generalize an old conjecture of the third author. We also…

Classifying integral Grothendieck rings up to rank 5 and beyond

Generalization of Ramanujan's formula for sums of half-integer powers of consecutive integers via formal Bernoulli series

On the p-adic valuations of values of Legendre polynomials

On the $p$ -adic valuations of values of Legendre polynomials