From the 1 of 4 linked papers with an AI index.
4 papers
The exceptional set of the Goldbach problem
Lasse Grimmelt, Gautami Bhowmik
The paper surveys known results on the size of the exceptional set for representing integers as sums of at most two primes, reviews the Hardy‑Littlewood circle method and later pow…
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…