12 citations · 23 across the 7 of their papers we have counts for
9 papers · 1 filter
Correlation of multiplicative functions over function fields
Pranendu Darbar, Anirban Mukhopadhyay
In this article we study the asymptotic behaviour of the correlation functions over polynomial ring . Let and be the set…
Omega Theorems for The Twisted Divisor Function
Kamalakshya Mahatab, Anirban Mukhopadhyay
For a fixed , we define the twisted divisor function In this article we consider the error term in the following asymptotic fo…
Bombieri-type theorem for convolution of arithmetic functions on Number field
Pranendu Darbar, Anirban Mukhopadhyay
Let be an imaginary quadratic number field of class number one and be its ring of integers. We show that, if the arithmetic functions $f, g:\mathcal{O}_K\righta…
Bounded gaps between product of two primes in imaginary quadratic number fields
Pranendu Darbar, Anirban Mukhopadhyay, G. K. Viswanadham
We study the gaps between products of two primes in imaginary quadratic number fields using a combination of the methods of Goldston-Graham-Pintz-Yildirim \cite{GGPY}, and Maynard…
Measure Theoretic Aspects of Oscillations of Error Terms
Kamalakshya Mahatab, Anirban Mukhopadhyay
We consider fluctuations of error terms appearing in the asymptotic formula for a summatory function of coefficients of the Dirichlet series. These are quantified via an…
On the zeros of the Epstein zeta function
Anirban Mukhopadhyay, Krishnan Rajkumar, Kotyada Srinivas
In this article, we count the number of consecutive zeros of the Epstein zeta-function, associated to a certain quadratic form, on the critical line with ordinates lying in $[0,T],…