M. Rassias

activity

20122025

most citedAsymptotics for moments of certain cotangent sums for arbitrary exponents

1 citations · 3 across the 14 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.NT2021

The ternary Goldbach problem with a prime with a missing digit and primes of special types

Helmut Maier, Michael Th. Rassias

Let $γ^{*} := \frac{8}{9} + \frac{2}{3} \frac{lo g ( 10/9 )}{lo g 10} (\approx 0.919 \dots), γ^{*} < \frac{1}{c _{0}} \leq 1 .$ Let $γ^{*} < γ_{0} \leq 1$ , $c_{0} = 1/ γ_{0}$ be fixed. Let also $a_0\in\{…

math.NT2021

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…

math.NT2021

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…