R. Thangadurai

activity

20052022

p

-zero-sum free sequences and its application to a variant of Erdos--Ginzburg--Ziv theorem

2 citations · 3 across the 9 of their papers we have counts for

collaborators

9 papers

math.NT2022

Sufficient conditions for a problem of Polya

Abhishek Bharadwaj, Veekesh Kumar, Aprameyo Pal +1

Let $α$ be a non-zero algebraic number. Let $K$ be the Galois closure of $Q (α)$ with Galois group $G$ and $Q ˉ$ be the algebraic closure of $Q$ . In t…

math.NT2020★ 1 cited

On simultaneous approximation of algebraic numbers

Veekesh Kumar, R. Thangadurai

Let $Γ \subset Q ˉ^{\times}$ be a finitely generated multiplicative group of algebraic numbers. Let $α_{1}, \dots, α_{r} \in Q ˉ^{\times}$ be algebraic numbers which…

math.NT2018

Distribution of residues modulo $p$ using the Dirichlet's class number formula

Jaitra Chattopadhyay, Bidisha Roy, Subha Sarkar +1

Let $p$ be an odd prime number. In this article, we study the number of quadratic residues and non-residues modulo $p$ which are multiples of $2$ or $3$ or $4$ and lying in the int…

math.NT2018

Quadratic non-residues and non-primitive roots satisfying a coprimality condition

Jaitra Chattopadhyay, Bidisha Roy, Subha Sarkar +1

Let $q \geq 1$ be any integer and let $ε \in [\frac{1}{11}, \frac{1}{2})$ be a given real number. In this short note, we prove that for all primes $p$ satisfying $$ p\equiv 1\pmod{q…

math.NT2017

Restricted-sum-dominant sets

Raj Kumar Mistri, R. Thangadurai

Let $A$ be a nonempty finite subset of an additive abelian group $G$ . Define $A + A := {a + b : a, b \in A}$ and $A ∔ A := {a + b : a, b \in A and a \neq = b}$ . Th…

math.NT2013

Liouville Numbers and Schanuel's Conjecture

K. Senthil Kumar, R. Thangadurai, M. Waldschmidt

In this paper, using an argument of P. Erdos, K. Alniacik and E. Saias, we extend earlier results on Liouville numbers, due to P. Erdos, G.J. Rieger, W. Schwarz, K. Alniacik, E. Sa…

math.NT2013

Liouville numbers, Liouville sets and Liouville fields

K. Senthil Kumar, R. Thangadurai, M. Waldschmidt

Following earlier work by E.Maillet 100 years ago, we introduce the definition of a Liouville set, which extends the definition of a Liouville number. We also define a Liouville fi…

math.NT2007

A variant of Davenport's constant

R Thangadurai

Let p be a prime number. Let G be a finite abelian p-group of exponent n (written additively) and A be a non-empty subset of $] n [:= {1, 2, ..., n}$ such that elements of A are inco…

math.CO2005★ 2 cited

On the structure of $p$ -zero-sum free sequences and its application to a variant of Erdos--Ginzburg--Ziv theorem

W D Gao, A Panigrahi, R Thangadurai

Let $p$ be any odd prime number. Let $k$ be any positive integer such that $2 \leq k \leq [\frac{p + 1}{3}] + 1$ . Let $S = (a_{1}, a_{2}, ..., a_{2 p - k})$ be any sequence in $Z_{p}$ such that…