R. Balasubramanian

activity

20192024

collaborators

3 papers

math.NT2024

The $m$ -th Element of a Sidon Set

R. Balasubramanian, Sayan Dutta

We prove that if $A = {a_{1}, \dots, a_{∣ A ∣}} \subset {1, 2, \dots, n}$ is a Sidon set so that $∣ A ∣ = n^{1/2} - L^{'}$ , then $$a_m = m\cdot n^{1/2} + \mathcal O\left( n^{7/8}\right) + \…

math.NT2022

Product of three primes in large arithmetic progressions

Ramachandran Balasubramanian, Olivier Ramaré, Priyamvad Srivastav

For any $ε > 0$ , there exists $q_{0} (ε)$ such for any $q \geq q_{0} (ε)$ and any invertible residue class $a$ modulo $q$ , there exists a natural number that is congruent to $a$ modulo $q$ a…

math.NT2019

Inequalities for weighted sums of Mertens functions

R. Balasubramanian, S. Ponnusamy, K. -J. Wirths

In this article we derive some polynomial inequalities for Mertens functions.

The m-th Element of a Sidon Set

Product of three primes in large arithmetic progressions

Inequalities for weighted sums of Mertens functions

The $m$ -th Element of a Sidon Set