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Maier, Helmut

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Author ID: maier.helmut Recent zbMATH articles by "Maier, Helmut"
Published as: Maier, H.; Maier, Helmut
Homepage: http://www.uni-ulm.de/mawi/zawa/personen/maier.html
External Links: MGP · Wikidata · ResearchGate · dblp · GND
Documents Indexed: 59 Publications since 1981
Reviewing Activity: 2 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

44 Publications have been cited 283 times in 193 Documents Cited by Year
Primes in short intervals. Zbl 0569.10023
Maier, Helmut
43
1985
Small differences between prime numbers. Zbl 0671.10037
Maier, Helmut
22
1988
The Riemann hypothesis and inverse spectral problems for fractal strings. Zbl 0836.11031
Lapidus, Michel L.; Maier, Helmut
21
1995
Unusually large gaps between consecutive primes. Zbl 0706.11052
Maier, Helmut; Pomerance, Carl
20
1990
On the set of divisors of an integer. Zbl 0536.10039
Maier, H.; Tenenbaum, G.
19
1984
The Riemann hypothesis, vibrating fractal strings and the modified Weyl-Berry conjecture. Zbl 0751.35030
Lapidus, Michel L.; Maier, Helmut
18
1991
Chains of large gaps between consecutive primes. Zbl 0457.10023
Maier, Helmut
14
1981
Generalizations of a cotangent sum associated to the Estermann zeta function. Zbl 1346.11045
Maier, Helmut; Rassias, Michael Th.
13
2016
Oscillation theorems for primes in arithmetic progressions and for sifting functions. Zbl 0724.11040
Friedlander, John; Granville, Andrew; Hildebrand, Adolf; Maier, Helmut
9
1991
On the number of distinct values of Euler’s \(\phi\)-function. Zbl 0638.10045
Maier, Helmut; Pomerance, Carl
8
1988
On the normal concentration of divisors. Zbl 0576.10034
Maier, H.; Tenenbaum, G.
8
1985
The rate of growth of moments of certain cotangent sums. Zbl 1345.26006
Maier, Helmut; Rassias, Michael Th.
7
2016
Asymptotics for moments of certain cotangent sums. Zbl 1432.11108
Maier, Helmut; Rassias, Michael Th.
6
2017
The order of magnitude for moments for certain cotangent sums. Zbl 1359.11070
Maier, Helmut; Rassias, Michael Th.
6
2015
The size of the coefficients of cyclotomic polynomials. Zbl 0853.11018
Maier, Helmut
6
1996
On the distribution of the number of prime factors of sums \(a+b\). Zbl 0617.10038
Erdős, Paul; Maier, H.; Sárközy, A.
6
1987
The sum of the Möbius function. Zbl 1241.11121
Maier, H.; Montgomery, H. L.
5
2009
Asymptotics for moments of certain cotangent sums for arbitrary exponents. Zbl 1390.33002
Maier, Helmut; Rassias, Michael Th.
4
2017
Cyclotomic polynomials with large coefficients. Zbl 0781.11012
Maier, Helmut
4
1993
Irregularities in the distribution of primes in short intervals. Zbl 0658.10048
Hildebrand, Adolf; Maier, Helmut
4
1989
Chirped pulses, Gauss sums and the factorization of numbers. Zbl 1093.81520
Merkel, Wolfgang; Crasser, Oliver; Haug, Florian; Lutz, Eric; Mack, Holger; Freyberger, Matthias; Schleich, Wolfgang P.; Averbukh, Ilya; Bienert, Marc; Girard, Bertrand; Maier, Helmut; Paulus, Gerhard G.
3
2006
On an exponential sum involving the Möbius function. Zbl 1115.11053
Maier, H.; Sankaranarayanan, A.
3
2005
On a certain general exponential sum. Zbl 1107.11031
Maier, H.; Sankaranarayanan, A.
3
2005
Gaps between prime numbers. Zbl 0663.10046
Hildebrand, Adolf; Maier, Helmut
3
1988
Large gaps between consecutive prime numbers containing perfect \(k\)-th powers of prime numbers. Zbl 1355.11092
Maier, Helmut; Rassias, Michael Th.
2
2017
Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers. Zbl 1338.11085
Maier, Helmut; Rassias, Michael Th.
2
2016
On multiplicative functions resembling the Möbius function. Zbl 1405.11122
Maier, H.; Sankaranarayanan, A.
2
2016
Exponential sums over primes in residue classes. Zbl 1204.11134
Maier, H.; Sankaranarayanan, A.
2
2010
On the error term of an asymptotic formula of Ramanujan. Zbl 1079.11050
Maier, H.; Sankaranarayanan, A.
2
2005
Cyclotomic polynomials with many primes dividing their orders. Zbl 1072.11070
Konyagin, Sergei; Maier, Helmut; Wirsing, Eduard
2
2004
Cyclotomic polynomials whose orders contain many prime factors. Zbl 1062.11061
Maier, Helmut
2
2001
The coefficients of cyclotomic polynomials. Zbl 0719.11012
Maier, Helmut
2
1990
Distribution of a cotangent sum related to the Nyman-Beurling criterion for the Riemann hypothesis. Zbl 1433.33001
Maier, Helmut; Rassias, Michael Th.
1
2019
Explicit estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis. Zbl 1426.30005
Maier, Helmut; Rassias, Michael Th.
1
2019
Estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis. Zbl 1400.11126
Maier, Helmut; Rassias, Michael Th.
1
2018
The behaviour in short intervals of exponential sums over sifted integers. Zbl 1279.11101
Maier, H.; Sankaranarayanan, A.
1
2009
On the normal concentration of divisors. II. Zbl 1239.11105
Maier, Helmut; Tenenbaum, Gérald
1
2009
On certain exponential sums over primes. Zbl 1192.11052
Maier, H.; Sankaranarayanan, A.
1
2009
Anatomy of integers and cyclotomic polynomials. Zbl 1186.11010
Maier, Helmut
1
2008
On intervals with few prime numbers. Zbl 1137.11062
Maier, H.; Stewart, C. L.
1
2007
Exponential sums with multiplicative coefficients over smooth integers. Zbl 1196.11112
Maier, Helmut
1
2006
Quantum algorithms for number fields. Zbl 1108.11091
Haase, D.; Maier, H.
1
2006
On the Möbius function. Zbl 0617.10033
Maier, Helmut
1
1987
On the third iterates of the \(\phi\)- and \(\sigma\)-functions. Zbl 0551.10036
Maier, H.
1
1984
Distribution of a cotangent sum related to the Nyman-Beurling criterion for the Riemann hypothesis. Zbl 1433.33001
Maier, Helmut; Rassias, Michael Th.
1
2019
Explicit estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis. Zbl 1426.30005
Maier, Helmut; Rassias, Michael Th.
1
2019
Estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis. Zbl 1400.11126
Maier, Helmut; Rassias, Michael Th.
1
2018
Asymptotics for moments of certain cotangent sums. Zbl 1432.11108
Maier, Helmut; Rassias, Michael Th.
6
2017
Asymptotics for moments of certain cotangent sums for arbitrary exponents. Zbl 1390.33002
Maier, Helmut; Rassias, Michael Th.
4
2017
Large gaps between consecutive prime numbers containing perfect \(k\)-th powers of prime numbers. Zbl 1355.11092
Maier, Helmut; Rassias, Michael Th.
2
2017
Generalizations of a cotangent sum associated to the Estermann zeta function. Zbl 1346.11045
Maier, Helmut; Rassias, Michael Th.
13
2016
The rate of growth of moments of certain cotangent sums. Zbl 1345.26006
Maier, Helmut; Rassias, Michael Th.
7
2016
Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers. Zbl 1338.11085
Maier, Helmut; Rassias, Michael Th.
2
2016
On multiplicative functions resembling the Möbius function. Zbl 1405.11122
Maier, H.; Sankaranarayanan, A.
2
2016
The order of magnitude for moments for certain cotangent sums. Zbl 1359.11070
Maier, Helmut; Rassias, Michael Th.
6
2015
Exponential sums over primes in residue classes. Zbl 1204.11134
Maier, H.; Sankaranarayanan, A.
2
2010
The sum of the Möbius function. Zbl 1241.11121
Maier, H.; Montgomery, H. L.
5
2009
The behaviour in short intervals of exponential sums over sifted integers. Zbl 1279.11101
Maier, H.; Sankaranarayanan, A.
1
2009
On the normal concentration of divisors. II. Zbl 1239.11105
Maier, Helmut; Tenenbaum, Gérald
1
2009
On certain exponential sums over primes. Zbl 1192.11052
Maier, H.; Sankaranarayanan, A.
1
2009
Anatomy of integers and cyclotomic polynomials. Zbl 1186.11010
Maier, Helmut
1
2008
On intervals with few prime numbers. Zbl 1137.11062
Maier, H.; Stewart, C. L.
1
2007
Chirped pulses, Gauss sums and the factorization of numbers. Zbl 1093.81520
Merkel, Wolfgang; Crasser, Oliver; Haug, Florian; Lutz, Eric; Mack, Holger; Freyberger, Matthias; Schleich, Wolfgang P.; Averbukh, Ilya; Bienert, Marc; Girard, Bertrand; Maier, Helmut; Paulus, Gerhard G.
3
2006
Exponential sums with multiplicative coefficients over smooth integers. Zbl 1196.11112
Maier, Helmut
1
2006
Quantum algorithms for number fields. Zbl 1108.11091
Haase, D.; Maier, H.
1
2006
On an exponential sum involving the Möbius function. Zbl 1115.11053
Maier, H.; Sankaranarayanan, A.
3
2005
On a certain general exponential sum. Zbl 1107.11031
Maier, H.; Sankaranarayanan, A.
3
2005
On the error term of an asymptotic formula of Ramanujan. Zbl 1079.11050
Maier, H.; Sankaranarayanan, A.
2
2005
Cyclotomic polynomials with many primes dividing their orders. Zbl 1072.11070
Konyagin, Sergei; Maier, Helmut; Wirsing, Eduard
2
2004
Cyclotomic polynomials whose orders contain many prime factors. Zbl 1062.11061
Maier, Helmut
2
2001
The size of the coefficients of cyclotomic polynomials. Zbl 0853.11018
Maier, Helmut
6
1996
The Riemann hypothesis and inverse spectral problems for fractal strings. Zbl 0836.11031
Lapidus, Michel L.; Maier, Helmut
21
1995
Cyclotomic polynomials with large coefficients. Zbl 0781.11012
Maier, Helmut
4
1993
The Riemann hypothesis, vibrating fractal strings and the modified Weyl-Berry conjecture. Zbl 0751.35030
Lapidus, Michel L.; Maier, Helmut
18
1991
Oscillation theorems for primes in arithmetic progressions and for sifting functions. Zbl 0724.11040
Friedlander, John; Granville, Andrew; Hildebrand, Adolf; Maier, Helmut
9
1991
Unusually large gaps between consecutive primes. Zbl 0706.11052
Maier, Helmut; Pomerance, Carl
20
1990
The coefficients of cyclotomic polynomials. Zbl 0719.11012
Maier, Helmut
2
1990
Irregularities in the distribution of primes in short intervals. Zbl 0658.10048
Hildebrand, Adolf; Maier, Helmut
4
1989
Small differences between prime numbers. Zbl 0671.10037
Maier, Helmut
22
1988
On the number of distinct values of Euler’s \(\phi\)-function. Zbl 0638.10045
Maier, Helmut; Pomerance, Carl
8
1988
Gaps between prime numbers. Zbl 0663.10046
Hildebrand, Adolf; Maier, Helmut
3
1988
On the distribution of the number of prime factors of sums \(a+b\). Zbl 0617.10038
Erdős, Paul; Maier, H.; Sárközy, A.
6
1987
On the Möbius function. Zbl 0617.10033
Maier, Helmut
1
1987
Primes in short intervals. Zbl 0569.10023
Maier, Helmut
43
1985
On the normal concentration of divisors. Zbl 0576.10034
Maier, H.; Tenenbaum, G.
8
1985
On the set of divisors of an integer. Zbl 0536.10039
Maier, H.; Tenenbaum, G.
19
1984
On the third iterates of the \(\phi\)- and \(\sigma\)-functions. Zbl 0551.10036
Maier, H.
1
1984
Chains of large gaps between consecutive primes. Zbl 0457.10023
Maier, Helmut
14
1981
all top 5

Cited by 213 Authors

22 Maier, Helmut
15 Lapidus, Michel L.
15 Tenenbaum, Gérald
13 Rassias, Michael Th.
9 Pintz, Janos
8 Goldston, Daniel Alan
7 Abreu-Blaya, Ricardo
7 Bory Reyes, Juan
6 Ford, Kevin B.
6 Granville, Andrew James
6 Hall, Richard R.
5 Brackx, Fred F.
5 De Schepper, Hennie
5 Maynard, James
4 Friedlander, John Benjamin
4 Konyagin, Sergeĭ Vladimirovich
4 Radunović, Goran
4 Sankaranarayanan, Ayyadurai
4 Sommen, Franciscus
4 Yıldırım, Cem Yalçın
4 Žubrinić, Darko
3 Bazzanella, Danilo
3 Erdős, Pál
3 Hildebrand, Adolf J.
3 Perelli, Alberto
3 Tao, Terence
3 Thorne, Frank
3 Zaccagnini, Alessandro
2 Averbukh, Ilya Sh.
2 Balazard, Michel
2 Banks, William D.
2 Bettin, Sandro
2 de la Bretèche, Régis
2 Elsholtz, Christian
2 Freiberg, Tristan
2 Girard, Bertrand
2 Green, Ben Joseph
2 Languasco, Alessandro
2 Ledoan, Andrew H.
2 Luca, Florian
2 Merkel, Wolfgang
2 Monagan, Michael B.
2 Montgomery, Hugh Lowell
2 Pearse, Erin Peter James
2 Pollack, Paul
2 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich
2 Raouj, Abdelaziz
2 Rock, John A.
2 Ruzsa, Imre Z.
2 Saidak, Filip
2 Schleich, Wolfgang P.
2 Shparlinski, Igor E.
2 Singh, Saurabh Kumar
2 Soundararajan, Kannan
2 Stef, André
2 Stewart, Cameron L.
2 Technau, Niclas
2 Teplyaev, Alexander
2 Winter, Steffen
2 Wölk, Sabine
1 Alpoge, Levent
1 Amersi, Nadine
1 Arnold, Andrew
1 Aymone, Marco
1 Baker, Roger C.
1 Balog, Antal
1 Bank, Efrat
1 Bary-Soroker, Lior
1 Berenhaut, Kenneth S.
1 Bradley, David M.
1 Brito, Gerandy
1 Brüdern, Jörg
1 Bzdęga, Bartłomiej
1 Camerlo, Riccardo
1 Chakraborty, Kalyan
1 Chamizo Lorente, Fernando
1 Cheer, Angela Y.
1 Chen, Liang
1 Cheng, Qi
1 Christensen, Erik
1 Costello, Fintan
1 Croot, Ernie
1 de Roton, Anne
1 Defant, Colin
1 Derevyanko, Nikita
1 Dettmers, Kristin
1 Dianat, Reza
1 Drappeau, Sary
1 Draziotis, Konstantinos A.
1 Dubickas, Artūras
1 Dyson, Freeman John
1 Eichinger, Tobias
1 Erdélyi, Tamás
1 Falconer, Kenneth J.
1 Ferreira, Luan Alberto
1 Fikioris, George
1 Fiorilli, Daniel
1 Foster, Tyler
1 Fowler, Christopher F.
1 Frankel, Norman E.
...and 113 more Authors
all top 5

Cited in 78 Serials

24 Journal of Number Theory
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Transactions of the American Mathematical Society
7 Functiones et Approximatio. Commentarii Mathematici
5 Mathematics of Computation
5 International Journal of Number Theory
4 Mathematika
4 Proceedings of the American Mathematical Society
4 Acta Mathematica Hungarica
4 Indagationes Mathematicae. New Series
4 The Ramanujan Journal
3 Journal of Mathematical Analysis and Applications
3 Advances in Mathematics
3 Applied Mathematics and Computation
3 Compositio Mathematica
3 Duke Mathematical Journal
3 Bulletin of the American Mathematical Society. New Series
3 Annals of Mathematics. Second Series
2 Communications in Mathematical Physics
2 Discrete Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Acta Arithmetica
2 Journal of Functional Analysis
2 Acta Applicandae Mathematicae
2 Journal of the American Mathematical Society
2 Aequationes Mathematicae
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal de Théorie des Nombres de Bordeaux
2 New Journal of Physics
2 Complex Analysis and Operator Theory
2 Discrete and Continuous Dynamical Systems. Series S
1 Discrete Applied Mathematics
1 Journal d’Analyse Mathématique
1 Letters in Mathematical Physics
1 Lithuanian Mathematical Journal
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 The Mathematical Intelligencer
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Czechoslovak Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematica Slovaca
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Scandinavian Actuarial Journal
1 Journal of Symbolic Computation
1 Journal of Complexity
1 Applied Mathematics Letters
1 Formal Aspects of Computing
1 Russian Journal of Mathematical Physics
1 Combinatorics, Probability and Computing
1 Electronic Research Announcements of the American Mathematical Society
1 Journal of Integer Sequences
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Integers
1 Communications on Pure and Applied Analysis
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Milan Journal of Mathematics
1 Quantum Information Processing
1 Sampling Theory in Signal and Image Processing
1 Boundary Value Problems
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Fixed Point Theory and Applications
1 Frontiers of Mathematics in China
1 Algebra & Number Theory
1 Japanese Journal of Mathematics. 3rd Series
1 São Paulo Journal of Mathematical Sciences
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Research in the Mathematical Sciences
1 Philosophical Transactions A. Royal Society of London

Citations by Year

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