Generalized Newman phenomena and digit conjectures on primes
Summary: We prove that the ratio of the Newman sum over numbers multiple of a fixed integer, which is not a multiple of 3, and the Newman sum over numbers multiple of a fixed integer divisible by 3 is \(o(1)\) when the upper limit of summing tends to infinity. We also discuss a connection of our results with a digit conjecture on primes.
scientific article; zbMATH DE number 5367978