A. Dixit

activity

20172026

most citedA uniqueness property of general Dirichlet series

3 citations · 5 across the 14 of their papers we have counts for

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math.NT2026

On the p-adic Wirsing problem

Anup B Dixit

For a real transcendental number $ξ$ , let $ω_{n}^{*} (ξ)$ denote the supremum of all $ω$ for which there exist infinitely many real algebraic numbers $α$ of degree $\leq n$ satisfying $…

math.NT2026

Statistics of the Genus Number of $S_{3} \times C_{q}$ and $D_{4}$ -fields

Anup B. Dixit, Sunil Kumar Pasupulati

The genus number of a number field is a fundamental invariant which measures the contribution of ramification to its ideal class group. In this paper, we establish the statistics f…

math.NT2026

Brauer-Siegel theorem for families of number fields over almost Sn fields

Anup B Dixit

The classical Brauer-Siegel conjecture describes the asymptotic behaviour of the product of the class number and the regulator in families of number fields. All known cases of the…

On the p-adic Wirsing problem

Statistics of the Genus Number of S3​×Cq​ and D4​-fields

Brauer-Siegel theorem for families of number fields over almost Sn fields

Statistics of the Genus Number of $S_{3} \times C_{q}$ and $D_{4}$ -fields