1 citations · 1 across the 8 of their papers we have counts for
14 papers
The behaviour of a certain additive function in large intervals between consecutive primes
Michael Th. Rassias
We investigate the behaviour of a certain additive function depending on prime divisors of specific integers lying in large gaps between consecutive primes. The result is obtained…
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\{…
Double exponential lower bounds for possible solutions in the Second Case of the Fermat Last Theorem
Preda Mihăilescu, Michael T. Rassias
In a recent paper, the first author provided some lower bounds to solutions of the equations of Fermat and Catalan, based on local power series developments at the ramified prime o…
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…
New Trends in General Variational Inequalities
M. A. Noor, K. I. Noor, M. Th. Rassias
It is well known that general variational inequalities provide us with a unified, natural, novel and simple framework to study a wide class of unrelated problems, which arise in pu…
Cotangent sums related to the Riemann Hypothesis for various shifts of the argument
Helmut Maier, Michael Th. Rassias
One of the approaches to the Riemann Hypothesis is the Nyman-Beurling criterion. Cotangent sums play a significant role. Here we investigate the values of these cotangent sums for…