Jyoti Prakash Saha

activity

20142025

most citedOn minimal complements in groups

14 citations · 34 across the 22 of their papers we have counts for

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11 papers · 1 filter

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 $O_{K}$ of a number field $K$ , 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 $F$ with coefficients i…

math.NT2020★ 1 cited

Infinite co-minimal pairs involving lacunary sequences and generalisations to higher dimensions

Arindam Biswas, Jyoti Prakash Saha

The study of minimal complements in a group or a semigroup was initiated by Nathanson. The notion of minimal complements and being a minimal complement leads to the notion of co-mi…

math.NT2020★ 1 cited

Infinite co-minimal pairs in the integers and integral lattices

Arindam Biswas, Jyoti Prakash Saha

Given two nonempty subsets $A, B$ of a group $G$ , they are said to form a co-minimal pair if $A \cdot B = G$ , and $A^{'} \cdot B ⊊ G$ for any $\emptyset \neq = A^{'} ⊊ A$ …

math.NT2019★ 3 cited

Asymptotic complements in the integers

Arindam Biswas, Jyoti Prakash Saha

Let $W \subseteq Z$ be a non-empty subset of the integers. A nonempty set $C \subseteq Z$ is said to be an asymptotic complement to $W$ if $W + C$ contains almost all…

math.NT2018

The density of ramified primes

Jyoti Prakash Saha

Let $F$ be a number field, $O$ be a domain with fraction field $K$ of characteristic zero and $ρ : Gal (F / F) \to GL_{n} (O)$ be…

math.NT2018

On Frobenius semisimplicity in Hida families

Jyoti Prakash Saha

Let $p \geq 5$ be a prime and $ℓ \neq = p$ be a prime not dividing the tame level of a $p$ -ordinary Hida family. We prove that the actions of the Frobenius element at $ℓ$ on the…

math.NT2018

Distinguishing pure representations by normalized traces

Manish Kumar Pandey, Sudhir Pujahari, Jyoti Prakash Saha

Given two pure representations of the absolute Galois group of an $ℓ$ -adic number field with coefficients in $Q_{p}$ (with $ℓ \neq = p$ ), we show that the Frob…

math.NT2015

Conductors in $p$ -adic families

Jyoti Prakash Saha

Given a Weil-Deligne representation of the Weil group of an $ℓ$ -adic number field with coefficients in a domain $O$ , we show that its pure specializations have the sam…

math.NT2015

Variation of Weyl modules in $p$ -adic families

Jyoti Prakash Saha

Given a Weil-Deligne representation with coefficients in a domain, we prove the rigidity of the structures of the Frobenius-semisimplifications of the Weyl modules associated to it…

math.NT2014

Congruences of algebraic $L$ -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 $L$ -functions of congruent motives. We show that algebraic local Eu…

Furstenberg--Sárközy theorem over number fields

On some local properties of sequences of big Galois representations

Infinite co-minimal pairs involving lacunary sequences and generalisations to higher dimensions

Infinite co-minimal pairs in the integers and integral lattices

Asymptotic complements in the integers

The density of ramified primes

On Frobenius semisimplicity in Hida families

Distinguishing pure representations by normalized traces

Conductors in p-adic families

Variation of Weyl modules in p-adic families

Congruences of algebraic L-functions of motives

Conductors in $p$ -adic families

Variation of Weyl modules in $p$ -adic families

Congruences of algebraic $L$ -functions of motives