18 citations · 32 across the 8 of their papers we have counts for
11 papers
Large sieve estimate for multivariate polynomial moduli and applications
Karin Halupczok, Marc Munsch
We prove large sieve inequalities with multivariate polynomial moduli and deduce a general Bombieri--Vinogradov type theorem for a class of polynomial moduli having a sufficient nu…
Condtional Bounds on Siegel Zeros
Gautami Bhowmik, Karin Halupczok
We present an overview of bounds on zeros of -functions and obtain some improvements under weak conjectures related to the Goldbach problem.
Asymptotics of Goldbach Representations
Gautami Bhowmik, Karin Halupczok
We present a historical account of the asymptotics of classical Goldbach representations with special reference to the equivalence with the Riemann Hypothesis. When the primes are…
Bounds for discrete moments of Weyl sums and applications
Karin Halupczok
We prove two bounds for discrete moments of Weyl sums. The first one can be obtained using a standard approach. The second one involves an observation how this method can be improv…
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…
A Bombieri--Vinogradov Theorem with products of Gaussian primes as moduli
Karin Halupczok
We prove a version of the Bombieri--Vinogradov Theorem with certain products of Gaussian primes as moduli, making use of their special form as polynomial expressions in several var…