18 citations · 42 across the 23 of their papers we have counts for
4 papers · 2 filters
Average Goldbach and the Quasi-Riemann Hypothesis
Gautami Bhowmik, Imre Z. Ruzsa
We prove that a good average order on the Goldbach generating function implies that the real parts of the non-trivial zeros of the Riemann zeta function are strictly less than 1. T…
A Mean Value Result for a Product of GL(2) and GL(3) L-Functions
Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov +1
In this paper various analytic techniques are com- bined in order to study the average of a product of a Hecke L- function and a symmetric square L-function at the central point in…
Goldbach Representations in Arithmetic Progressions and zeros of Dirichlet L-functions
Gautami Bhowmik, Karin Halupczok, Kohji Matsumoto +1
Assuming a conjecture on distinct zeros of Dirichlet L-functions we get asymptotic results on the average number of representations of an integer as the sum of two primes in arithm…
Davenport's constant for groups with large exponent
Gautami Bhowmik, Jan-Christoph Schlage-Puchta
Let be a finite abelian group. We show that its Davenport constant satisfies , provided that , and $D(G)\l…