1 citations · 1 across the 3 of their papers we have counts for
7 papers · 1 filter
Equivalence between the Functional Equation and Vorono\"ı-type summation identities for a class of -Functions
Arindam Roy, Jagannath Sahoo, Akshaa Vatwani
To date, the best methods for estimating the growth of mean values of arithmetic functions rely on the Vorono\"ı summation formula. By noticing a general pattern in the proof of hi…
On the Second Hardy-Littlewood Conjecture
Bittu Chahal, Ertan Elma, Nic Fellini +2
The second Hardy-Littlewood conjecture asserts that the prime counting function satisfies the subadditive inequality \begin{align*} π(x+y)\leqslant π(x)+π(y) \end{align*} fo…
Voronoi summation formula for the generalized divisor function
Atul Dixit, Bibekananda Maji, Akshaa Vatwani
For a fixed and a fixed , let denote the sum of -th powers of those divisors of whose -th powers also divide . Th…
Riesz type criteria for -functions in the Selberg class
Shivajee Gupta, Akshaa Vatwani
We formulate a generalization of Riesz-type criteria in the setting of -functions belonging to the Selberg class. We obtain a criterion which is sufficient for the Grand Riemann…
Joint Extreme values of -functions
Kamalakshya Mahatab, Łukasz Pańkowski, Akshaa Vatwani
We consider -functions from the Selberg class which have polynomial Euler product and satisfy Selberg's orthonormality condition. We show that on every vertical…
Zeros of Dirichlet polynomials
Arindam Roy, Akshaa Vatwani
We consider a certain class of multiplicative functions and study the distribution of zeros of Dirichlet polynomials $F_N(s)= \sum_{n\le N} f(n…