Payman Eskandari

activity

20152026

most citedOn unipotent radicals of motivic Galois groups

4 citations · 8 across the 11 of their papers we have counts for

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math.NT2026

Improved rational approximations to Catalan's constant

Payman Eskandari

The works of Rivoal, Zudilin, and Krattenthaler and Nesterenko give an explicit sequence $p_{n} / q_{n}$ ( $p_{n}, q_{n} \in Z, q_{n} > 0$ ) of rational approximations to Catalan's constant…

math.NT2026

On two families of period integrals related to Catalan's constant

Payman Eskandari

The construction of a mixed motive associated with Catalan's constant $G = \sum_{n = 0}^{\infty} (- 1)^{n} / (2 n + 1)^{2}$ in [arXiv:2510.20648] led to a supply of period integrals that evaluate…

math.NT2025

Mixed motives and linear forms in the Catalan constant

Payman Eskandari, Kumar Murty, Yusuke Nemoto

We first give a geometric construction of a 2-dimensional mixed motive over $Q$ with the Catalan constant $G = 1 - 1/ 3^{2} + 1/ 5^{2} - 1/ 7^{2} + \dots$ as a period. We then use…