A. Sankaranarayanan

activity

20132023

most citedThe Selberg-Delange method and mean value of arithmetic functions over short intervals

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2023★ 1 cited

The Selberg-Delange method and mean value of arithmetic functions over short intervals

Amrinder Kaur, Ayyadurai Sankaranarayanan

In this paper, we establish a mean value result of arithmetic functions over shorter intervals with the Selberg-Delange method using the Hooley-Huxley contour.

math.NT2022

On the sum of the twisted Fourier coefficients of Maass forms by Möbius function

K Venkatasubbareddy, Amrinder Kaur, Ayyadurai Sankaranarayanan

In this paper, we study non-trivial upper bounds for the sum $n \in S \sum ∣ λ_{f} (n) ∣$ where $f$ is a normalized Maass eigencusp form for the full modular group, $λ_{f} (n)$ i…

math.NT2022

Godement-Jacquet $L$ -function, some conjectures and some consequences

Amrinder Kaur, Ayyadurai Sankaranarayanan

In this paper, we investigate the mean square estimate for the logarithmic derivative of the Godement--Jacquet $L$ -function $L_{f} (s)$ assuming the Riemann hypothesis for $L_{f} (s)$ an…

math.CO2013★ 1 cited

On the properties of a sequence concerning binomial coefficients

Daeyeoul Kim, Ayyadurai Sankaranarayanan, Zhi-Hong Sun

For $n \geq 3$ let $f (n)$ be the least positive integer $k$ such that $(k n) > \frac{2 ^{n}}{n + 1}$ . In this paper we investigate the properties of $f (n)$ .

The Selberg-Delange method and mean value of arithmetic functions over short intervals

On the sum of the twisted Fourier coefficients of Maass forms by Möbius function

Godement-Jacquet L-function, some conjectures and some consequences

On the properties of a sequence concerning binomial coefficients

Godement-Jacquet $L$ -function, some conjectures and some consequences