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math.NT2024
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…
math.NT2024
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…