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pro vyhledávání: '"Giri, Sumit"'
Autor:
Giri, Sumit
Let $E$ be an elliptic curve defined over $\mathbb{Q}$ and let $N$ be a positive integer. Now, $M_E(N)$ counts the number of primes $p$ such that the group $E_p(\mathbb{F}_p)$ is of order $N$. In an earlier joint work with Balasubramanian, we showed
Externí odkaz:
http://arxiv.org/abs/1609.08549
In this paper, we study sums of shifted products $\sum\limits_{n \leq x} F(n) G(n-h)$ for any $|h| \leq x/2$ and arithmetic functions $F=f*1$ and $G=g*1$, with $f$ and $g$ small. We obtain asymptotic formula for different orders of magnitude of $f$ a
Externí odkaz:
http://arxiv.org/abs/1511.02221
Autor:
Balasubramanian, R., Giri, Sumit
Publikováno v:
Int Math Res Notices (2016)
Let $E$ be an elliptic curve defined over rational field $\mathbb{Q}$ and $N$ be a positive integer. Now, $M_E(N)$ denotes the number of primes $p$, such that the group $E_p(\mathbb{F}_p)$ is of order $N$. We show that $M_E(N)$ follows Poisson distri
Externí odkaz:
http://arxiv.org/abs/1503.01018
Publikováno v:
Systematic Reviews in Pharmacy. Jul/Aug2023, Vol. 14 Issue 8, p535-538. 4p.
Autor:
Balasubramanian, R., Giri, Sumit
In this paper, we consider the mean value of the product of two real valued multiplicative functions with shifted arguments. The functions $F$ and $G$ under consideration are close to two nicely behaved functions $A$ and $B$, such that the average va
Externí odkaz:
http://arxiv.org/abs/1408.3394
Publikováno v:
In Journal of Number Theory May 2017 174:221-238
Autor:
Balasubramanian, R., Giri, Sumit
Publikováno v:
In Journal of Number Theory December 2015 157:37-53
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