48 Result(s)

Chapter

Personal Memories

The first time I was meeting Professor Eduard Wirsing was in Summer 1974. Back then I was studying for the diploma in mathematics with physics as minor subject. His lecture on Analytic Number Theory was in lat...

Helmut Maier in Number Theory in Memory of Eduard Wirsing (2023)

Chapter

A Primer on the Riemann Hypothesis

We provide an introduction for physicists into the Riemann Hypothesis. For this purpose, we first introduce, and then compare and contrast the Riemann function and the Dirichlet L-functions, with the Titchmars...

Michael E. N. Tschaffon, Iva Tkáčová, Helmut Maier… in Sketches of Physics (2023)

Chapter

Life and Work of Eduard Wirsing

On March 22, 2022, Eduard Wirsing passed away at the age of 90 in Cologne. He was an open-minded character who contributed great ideas to mathematics with his remarkable creativity. A man and his work that we ...

Helmut Maier, Rasa Steuding, Jörn Steuding in Number Theory in Memory of Eduard Wirsing (2023)

Chapter

The Ternary Goldbach Problem with a Missing Digit and Other Primes of Special Types

The goal of the present paper is to prove on assumption of the Generalized Riemann Hypothesis that each sufficiently large odd integer N ₀ can be expressed in the form ...

Helmut Maier, Michael Th. Rassias in Analysis at Large (2022)

Chapter

The Maximum of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis

In a previous paper (see H. Maier, M. Th. Rassias, The maximum of cotangent sums related to Estermann’s zeta function in rational numbers in short intervals. Appl. Anal. Discrete Math. 11, 166–176 (2017)) we i...

Helmut Maier, Michael Th. Rassias… in Trigonometric Sums and Their Applications (2020)

Chapter

Prime Avoidance Property of k-th Powers of Prime Numbers with Beatty Sequence

In a previous paper, the authors establish the prime avoidance property of k-th powers of prime numbers. In this paper the authors extend this result by considering k-th powers of prime numbers with Beatty sequen...

Helmut Maier, Michael Th. Rassias in Discrete Mathematics and Applications (2020)

Article

On the set of divisors of Gaussian integers

In Maier and Tenenbaum (Invent Math 76(1):121–128, 1984), Tenenbaum and the first author proved an old conjecture of Paul Erdős about the propinquity of divisors of integers. In this paper, we prove an analogo...

Helmut Maier, Saurabh Kumar Singh in The Ramanujan Journal (2019)

Article

The ternary Goldbach problem with a prime and two isolated primes

We prove that under the assumption of the Generalized Riemann Hypothesis each sufficiently large odd integer can be expressed as the sum of a prime and two isolated primes.

Helmut Maier, Michael Th. Rassias in Proceedings of the Steklov Institute of Mathematics (2017)

Article

The rate of growth of moments of certain cotangent sums

We consider cotangent sums associated to the zeros of the Estermann zeta function considered by the authors in their previous paper (Maier and Rassias, Generalizations of a cotangent sum associated to the Este...

Helmut Maier, Michael Th. Rassias in Aequationes mathematicae (2016)

Chapter

Asymptotics and Equidistribution of Cotangent Sums Associated with the Estermann and Riemann Zeta Functions

The Nyman–Beurling criterion is a well-known approach to the Riemann Hypothesis. Certain integrals over Dirichlet series appearing in this approach can be expressed in terms of cotangent sums. These cotangent ...

Helmut Maier, Michael Th. Rassias in From Arithmetic to Zeta-Functions (2016)

Reference Work Entry In depth

Fundamental Theorem of Algebra

Keywords

Helmut Maier in Encyclopedia of Optimization (2009)

Article

Cyclotomic polynomials with many primes dividing their orders

Sergei Konyagin, Helmut Maier, Eduard Wirsing in Periodica Mathematica Hungarica (2004)

Article

Cyclotomic polynomials whose orders contain many prime factors

Let &PHgr; n (z) = ∑ ϕ (n) m=0 a (m, n) z m be the n th cyclonomic polynomial and set A(n) = max 0≤m≤ϕ(n) |a=(m, n)|. In previous papers the author has shown that for almost all integers A(...

Helmut Maier in Periodica Mathematica Hungarica (2002)

Reference Work Entry In depth

Gröbner bases for polynomial equationsGröbner bases for polynomial equationsFUNDAMENTAL THEOREM OF ALGEBRA

Helmut Maier in Encyclopedia of Optimization (2001)

Article

Rezensionen

Conrad Grau, Hans-Uwe Lammel… in NTM Zeitschrift für Geschichte der Wissens… (1997)

Chapter and Conference Paper

PROSIM — Prozeß-Simulator für speicherprogrammierbare Steuerungen

Eine effektive Schulung der anwendungsorientierten Programmierung von Speicherprogrammierbaren Steuerungen — SPS — läßt sich nur an realitätsnahen Prozeßmodellen durchführen. Im Labor für Automatisierungstechn...

Helmut Maier in PC-Einsatz in der Hochschulausbildung (1992)

Chapter

Integration von Produktionsplanung und Kostenträgerrechnung als Bestandteil eines umfassenden Kostenrechnungssystems

Die Integration von Produktionsplanung und Kostenträgerrechnung gewinnt auch für mittelständische Unternehmen zunehmend an Bedeutung. Für ein PPS-Systern genügt es nicht, nur die Daten für eine technische Ausn...

Helmut Maier in Kostenrechnungs-Standardsoftware für mittelständische Unternehmen (1990)

Chapter

The Coefficients of Cyclotomic Polynomials

Let \( {_n}(z) = \sum\nolimits_{m = o}^{(n)} {a(m,n){z^m}} \) be the nth cyclotomic polynomial. Let (1.1) ...

Helmut Maier in Analytic Number Theory (1990)