4 papers
Multivariable automatic arrays and transcendence
Aadrita Paul, Anwesh Ray
We study real numbers defined by multidimensional automatic arrays weighted by multiplicatively independent bases. Let be integers such that $\log a_1, \dot…
On the distribution of shapes of totally real multiquadratic number fields
Anuj Jakhar, Anwesh Ray
The shape of a number field of degree is defined as the equivalence class of the lattice of integers under linear operations generated by rotations, reflections, and positi…
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 over the rational function field , where is a power of…
Diophantine approximation and the subspace theorem
Shivani Goel, Rashi Lunia, Anwesh Ray
Diophantine approximation explores how well irrational numbers can be approximated by rationals, with foundational results by Dirichlet, Hurwitz, and Liouville culminating in Roth'…