18 citations · 42 across the 23 of their papers we have counts for
25 papers
The exceptional set of the Goldbach problem
Gautami Bhowmik, Lasse Grimmelt
We study the estimates for the number of exceptions to the representation of integers as the sum of at most two prime numbers. Most of this article is a survey that gives an overvi…
Counting Lattices with Local Hecke Series
Gautami Bhowmik, Masao Tsuzuki
We count the maximal lattices over -adic fields and the rational number field. For this, we use the theory of Hecke series for a reductive group over nonarchimedean local fields…
The Zsiflaw--Legeis theorem for arbitrary bases
Gautami Bhowmik, Yuta Suzuki
In this paper, we prove analogues of the Dirichlet theorem on arithmetic progressions and the Siegel--Walfisz theorem for the digital reverses of primes for arbitrary bases, which…
Explicit estimates for the Goldbach summatory function
Gautami Bhowmik, Anne-Maria Ernvall-Hytönen, Neea Palojärvi
In order to study the analytic properties of the Goldbach generating function we consider a smooth version, similar to the Chebyshev function for the Prime Number Theorem. In this…
On Telhcirid's theorem on arithmetic progressions
Gautami Bhowmik, Yuta Suzuki
In this paper, we study the distribution of the digital reverses of prime numbers, which we call the "reversed primes". We prove the infinitude of reversed primes in any arithmetic…
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.