3 citations · 6 across the 14 of their papers we have counts for
11 papers · 1 filter
Beyond the extended Selberg class:
R. Balasubramanian, Ravi Raghunathan
We show that a class of Dirichlet series that is much larger than the extended Selberg class , and also contains the standard as well as t…
On correlations of certain multiplicative functions
R. Balasubramanian, Sumit Giri, Priyamvad Srivastav
In this paper, we study sums of shifted products for any and arithmetic functions and , with and small. W…
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 sufficiently large, there is an such that with $λ=…
Poisson distribution of a prime counting function corresponding to elliptic curves
R. Balasubramanian, Sumit Giri
Let be an elliptic curve defined over rational field and be a positive integer. Now, denotes the number of primes , such that the group $E_p(\mathb…
Mean-Value of Product of Shifted Multiplicative Functions and Average Number of Points on Elliptic Curves
R. Balasubramanian, Sumit Giri
In this paper, we consider the mean value of the product of two real valued multiplicative functions with shifted arguments. The functions and under consideration are close…
On Additive Representation Functions
R. Balasubramanian, Sumit Giri
Let $\A=\{a_1<a_2<a_3.....<a_n<...\}$ be an infinite sequence of integers and let $R_2(n)=|\{(i,j):\ \ a_i+a_j=n;\ \ a_i,a_j\in \A;\ \ i\le j\}|$. We define $S_k=\s_{l=1}^k(R_2(2l)…