Helmut Maier

Q: What Schools Are Affiliated With Helmut Maier

Helmut Maier is affiliated with the following schools: University of Ulm, University of Minnesota

Helmut Maier's AcademicInfluence.com Rankings

Helmut Maier

Mathematics

#3071

World Rank

#4607

Historical Rank

Number Theory

#97

World Rank

#132

Historical Rank

Group Theory

#445

World Rank

#517

Historical Rank

Algebra

#794

World Rank

#1032

Historical Rank

mathematics Degrees

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Mathematics

Why Is Helmut Maier Influential?

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According to Wikipedia, Helmut Maier is a German mathematician and professor at the University of Ulm, Germany. He is known for his contributions in analytic number theory and mathematical analysis and particularly for the so-called Maier's matrix method as well as Maier's theorem for primes in short intervals. He has also done important work in exponential sums and trigonometric sums over special sets of integers and the Riemann zeta function.

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Helmut Maier's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Small differences between prime numbers. (1988) (92)
The Riemann Hypothesis and Inverse Spectral Problems for Fractal Strings (1995) (87)
Primes in short intervals. (1985) (75)
Unusually large gaps between consecutive primes (1990) (63)
On the set of divisors of an integer (1984) (47)
Oscillation theorems for primes in arithmetic progressions and for sifting functions (1991) (39)
Chains of large gaps between consecutive primes (1981) (36)
On the number of distinct values of Euler's φ-function (1988) (34)
GENERALIZATIONS OF A COTANGENT SUM ASSOCIATED TO THE ESTERMANN ZETA FUNCTION (2014) (34)
On the distribution of the number of prime factors of sums $a+b$ (1987) (31)
On the Normal Concentration of Divisors (1985) (26)
The sum of the Möbius function (2009) (22)
The order of magnitude for moments for certain cotangent sums (2014) (17)
Laying the Foundation for Wartime Research: A Comparative Overview of Science Mobilization in National Socialist Germany, Japan, and the Soviet Union (2005) (16)
Chirped Pulses, Gauss Sums and the Factorization of Numbers (2006) (15)
Prime Numbers 101: A Primer on Number Theory (2012) (15)
Irregularities in the distribution of primes in short intervals. (1989) (13)
Substructure search systems for large chemical data bases (1990) (11)
The rate of growth of moments of certain cotangent sums (2014) (10)
On the normal concentration of divisors, 2 (2009) (10)
Cyclotomic polynomials with large coefficients (1993) (10)
Werner von Siemens: Inventor and International Entrepreneur (1994) (9)
Asymptotics for moments of certain cotangent sums (2016) (9)
ON A CERTAIN GENERAL EXPONENTIAL SUM (2005) (8)
Gaps between prime numbers (1988) (8)
Large gaps between consecutive prime numbers containing perfect $k$-th powers of prime numbers (2015) (8)
The maximum of cotangent sums related to Estermann’s zeta function in rational numbers is short intervals (2017) (8)
On intervals with few prime numbers (2007) (7)
On an exponential sum involving the Möbius function (2005) (7)
Explicit estimates of sums related to the Nyman–Beurling criterion for the Riemann Hypothesis (2019) (7)
Asymptotics for moments of certain cotangent sums for arbitrary exponents (2016) (7)
On multiplicative functions resembling the Mobius function (2016) (6)
Substructure searching on very large files by using multiple storage techniques (1993) (6)
Light, the universe and everything – 12 Herculean tasks for quantum cowboys and black diamond skiers (2018) (6)
The Coefficients of Cyclotomic Polynomials (1990) (4)
Anatomy of integers and cyclotomic polynomials (2008) (4)
Estimates of sums related to the Nyman–Beurling criterion for the Riemann Hypothesis (2017) (4)
Quantum algorithms for number fields (2006) (4)
Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers (2015) (4)
On the third iterates of the φ- and σ-functions (1984) (4)
Cyclotomic polynomials whose orders contain many prime factors (2002) (4)
Distribution of a cotangent sum related to the Nyman-Beurling criterion for the Riemann Hypothesis (2019) (3)
The ternary Goldbach problem with a prime and two isolated primes (2016) (3)
Chemical Substructure Search on CD-ROM (1990) (3)
Cyclotomic polynomials with many primes dividing their orders (2004) (3)
Exponential sums with multiplicative coefficients over smooth integers (2006) (3)
Invariant structures of prognosis curves in Forrester's World Dynamics (1973) (3)
On certain exponential sums over primes (2009) (3)
On the Möbius function (1987) (2)
On the Size of an Expression in the Nyman–Beurling-Báez–Duarte Criterion for the Riemann Hypothesis (2017) (2)
The ternary Goldbach problem with two Piatetski–Shapiro primes and a prime with a missing digit (2020) (2)
EXPONENTIAL SUMS OVER PRIMES IN RESIDUE CLASSES (2010) (2)
Finding invariant structures in Forrester's world dynamics—An analysis by simulation☆ (1973) (2)
Additive problems with smooth integers (2016) (2)
The Kaiser Wilhelm Society under National Socialism: Ideology, Armaments, and Resources: The Kaiser Wilhelm Institute for Metal Research and the “German Metals,” 1933–1945 (2009) (2)
The behaviour in short intervals of exponential sums over sifted integers (2009) (1)
Asymptotics and Equidistribution of Cotangent Sums Associated with the Estermann and Riemann Zeta Functions (2016) (1)
Chemical substructure searching on CD-ROMs (1989) (1)
Cotangent Sums Related to the Riemann Hypothesis for Various Shifts of the Argument (2018) (1)
The ternary Goldbach problem with a prime with a missing digit and primes of special types (2021) (1)
The Maximum of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis (2020) (1)
Are Economic Goals and Goals of Environmental Protection Compatible (2000) (1)
On the error term of an asymptotic formula of Ramanujan (2005) (1)
A Direct Solution of the Problem of Linear Regression by Analysis of Variance (2000) (1)
Smooth numbers and zeros of Dirichlet L-functions (2013) (0)
Sums of a smooth number and a number with missing digits (2013) (0)
Prime Avoidance Property of k-th Powers of Prime Numbers with Beatty Sequence (2020) (0)
Recent Progress on Topics of Ramanujan Sums and Cotangent Sums Associated with the Riemann Hypothesis (2022) (0)
The ternary Goldbach problem with a prime and two isolated primes (2017) (0)
Controlling Economic Decisions of Government by Means of Input/Output -Tables of Official Statistics : Examples and Conclusions (2003) (0)
New indicators to measure economic efficiency, wealth and poverty on basis of Natural Economics (2007) (0)
The error for the second moment of cotangent sums related to the Riemann Hypothesis (2018) (0)
A criterion related to the Riemann Hypothesis (2017) (0)
How to Teach the Solution of the Problem of Linear Regression, Direct Approach in a Closed Form (2003) (0)
On the set of divisors of Gaussian integers (2019) (0)
The Kaiser Wilhelm Society during the Second World War( Science and Technology during the Second World War and the Cold War : A Perspective for a Cooperative Study) (2006) (0)
Fundamental Theorem of Algebra (2009) (0)
The Banking Crises Reflected in the Financial Order of the Real World (2009) (0)
On measuring the real value of production. Reflections on the economic order of the real world on occasion of the financial crisis. Ekonometria = Econometrics, 2013, Nr 1 (39), s. 162-183 (2013) (0)
The rate of growth of moments of certain cotangent sums (2015) (0)
On the maximum of cotangent sums related to the Riemann Hypothesis in rational numbers in short intervals (2021) (0)
On multiplicative functions with mean-value close to −1 on primes (2019) (0)

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What Schools Are Affiliated With Helmut Maier?

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What Schools Are Affiliated With Helmut Maier?

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Helmut Maier's AcademicInfluence.com Rankings