3 papers
math.NT2025
Furstenberg--Sárközy theorem over number fields
Dev Ranjan Pandey, Jyoti Prakash Saha
We introduce the notion of intersective polynomials having coefficients in the ring of integers of a number field , and define a notion of upper density of subse…
math.NT2021
On some local properties of sequences of big Galois representations
S. Aniruddha, Jyoti Prakash Saha
In this article, we prove that for a convergent sequence of residually absolutely irreducible representations of the absolute Galois group of a number field with coefficients i…
math.NT2014
Congruences of algebraic -functions of motives
Olivier Fouquet, Jyoti Prakash Saha
We develop a framework to investigate conjectures on congruences between the algebraic part of special values of -functions of congruent motives. We show that algebraic local Eu…