R. Balasubramanian

activity

20092020

most citedOn Additive Representation Functions

3 citations · 6 across the 14 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.NT2015

On correlations of certain multiplicative functions

R. Balasubramanian, Sumit Giri, Priyamvad Srivastav

In this paper, we study sums of shifted products $n \leq x \sum F (n) G (n - h)$ for any $∣ h ∣ \leq x /2$ and arithmetic functions $F = f * 1$ and $G = g * 1$ , with $f$ and $g$ small. W…

math.NT2015★ 1 cited

On Selberg's approximation to the twin prime problem

R. Balasubramanian, Priyamvad Srivastav

In his Classical approximation to the Twin prime problem, Selberg proved that for $x$ sufficiently large, there is an $n \in (x, 2 x)$ such that $2^{Ω (n)} + 2^{Ω (n + 2)} \leq λ$ with $λ=…

math.NT2015★ 1 cited

Poisson distribution of a prime counting function corresponding to elliptic curves

R. Balasubramanian, Sumit Giri

Let $E$ be an elliptic curve defined over rational field $Q$ and $N$ be a positive integer. Now, $M_{E} (N)$ denotes the number of primes $p$ , such that the group $E_p(\mathb…