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The ternary Goldbach problem with a prime with a missing digit and primes of special types
Helmut Maier, Michael Th. Rassias
Let Let , be fixed. Let also $a_0\in\{…
On the maximum of cotangent sums related to the Riemann Hypothesis in rational numbers in short intervals
Helmut Maier, Michael Th. Rassias
Cotangent sums play a significant role in the Nyman-Beurling criterion for the Riemann Hypothesis. Here we investigate the maximum of the values of these cotangent sums over variou…
The ternary Goldbach problem with a prime and two isolated primes
Helmut Maier, Michael Th. Rassias
In the present paper we prove that under the assumption of the GRH (Generalized Riemann Hypothesis) each sufficiently large odd integer can be expressed as the sum of a prime and t…
Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers
Helmut Maier, Michael Th. Rassias
We prove a modification as well as an improvement of a result of K. Ford, D. R. Heath-Brown and S. Konyagin concerning prime avoidance of square-free numbers and perfect powers of…