Anwesh Ray

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math.NT2026

Multivariable automatic arrays and transcendence

Aadrita Paul, Anwesh Ray

We study real numbers defined by multidimensional automatic arrays weighted by multiplicatively independent bases. Let $a_{1}, \dots, a_{r} \geq 2$ be integers such that $\log a_1, \dot…

math.NT2026

On the distribution of shapes of totally real multiquadratic number fields

Anuj Jakhar, Anwesh Ray

The shape of a number field $K$ of degree $m$ is defined as the equivalence class of the lattice of integers under linear operations generated by rotations, reflections, and positi…

math.NT2025

The second moment of cubic Dirichlet L-functions over function fields

Shivani Goel, Anwesh Ray

In this article, we study the second moment of cubic Dirichlet L-functions at the central point $s = 1/2$ over the rational function field $F_{q} (T)$ , where $q$ is a power of…