1 citations · 2 across the 4 of their papers we have counts for
5 papers
Short average distribution of a prime counting function over families of elliptic curves
Sumit Giri
Let be an elliptic curve defined over and let be a positive integer. Now, counts the number of primes such that the group is o…
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…
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)…