activity
20152021
most citedAsymptotics for moments of certain cotangent sums

1 citations · 1 across the 6 of their papers we have counts for

collaborators

11 papers

math.NT2021

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\{…

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…

math.CA2018

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…

math.CA2018

Explicit estimates of sums related to the Nyman-Beurling criterion for the Riemann Hypothesis

Helmut Maier, Michael Th. Rassias

We give an estimate for sums appearing in the Nyman-Beurling criterion for the Riemann Hypothesis. These sums contain the Möbius function and are related to the imaginary part of t…

math.CA2018

The error for the second moment of cotangent sums related to the Riemann Hypothesis

Helmut Maier, Michael Th. Rassias

In various papers the authors have derived asymptotics for moments of certain cotangent sums related to the Riemann Hypothesis. S. Bettin has given an upper bound for the error ter…

quant-ph2018

Light, the universe, and everything -- 12 Herculean tasks for quantum cowboys and black diamond skiers

Girish Agarwal, Roland Allen, Iva Bezdekova +29

The Winter Colloquium on the Physics of Quantum Electronics (PQE) has been a seminal force in quantum optics and related areas since 1971. It is rather mindboggling to recognize ho…