R. Tauraso

activity

20052026

most citedConstraining spacetime torsion with the Moon and Mercury

49 citations · 203 across the 42 of their papers we have counts for

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Showing 2025Show all

3 papers · 1 filter

math.NT2025

A $q$ -analogue of the Koecher-Leshchiner generating function of odd zeta values

Roberto Tauraso

In the 1980s, Koecher and, independently, Leshchiner found an elegant formula for the generating function of odd zeta values. In this short note, we derive a $q$ -analogue of this f…

math.NT2025★ 2 cited

Arithmetic properties of MacMahon-type sums of divisors: the odd case

James A. Sellers, Roberto Tauraso

A century ago, P. A. MacMahon introduced two families of generating functions, $$ \sum_{1\leq n_1<n_2<\cdots<n_t}\prod_{k=1}^t\frac{q^{n_k}}{(1-q^{n_k})^2} \quad\text{ and } \sum_{…

math.NT2025

Congruences for sums involving $(k r k)$

Sandro Mattarei, Roberto Tauraso

We primarily investigate congruences modulo $p$ for finite sums of the form $\sum_{k} (k r k) x^{k} / k$ over the ranges $0 < k < p$ and $0 < k < p / r$ , where $p$ is a prime larger than the p…

A q-analogue of the Koecher-Leshchiner generating function of odd zeta values

Arithmetic properties of MacMahon-type sums of divisors: the odd case

Congruences for sums involving (krk​)

A $q$ -analogue of the Koecher-Leshchiner generating function of odd zeta values

Congruences for sums involving $(k r k)$