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Mossinghoff, Michael J.

Author ID: mossinghoff.michael-j Recent zbMATH articles by "Mossinghoff, Michael J."
Published as: Mossinghoff, Michael J.; Mossinghoff, Michael; Mossinghoff, M. J.
Documents Indexed: 60 Publications since 1995, including 3 Books and 2 Additional arXiv Preprints
Co-Authors: 38 Co-Authors with 50 Joint Publications
782 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 466 times in 309 Documents Cited by Year
Combinatorics and graph theory. 2nd ed. Zbl 1170.05001
Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
43
2008
Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function. Zbl 1334.11070
Mossinghoff, Michael J.; Trudgian, Timothy S.
34
2015
Lehmer’s problem for polynomials with odd coefficients. Zbl 1172.11034
Borwein, Peter; Dobrowolski, Edward; Mossinghoff, Michael J.
30
2007
Polynomials with small Mahler measure. Zbl 0918.11056
Mossinghoff, Michael J.
27
1998
Isodiametric problems for polygons. Zbl 1122.52002
Mossinghoff, Michael J.
18
2006
Minimal Mahler measures. Zbl 1194.11100
Mossinghoff, Michael J.; Rhin, Georges; Wu, Qiang
17
2008
Sign changes in sums of the Liouville function. Zbl 1198.11090
Borwein, Peter; Ferguson, Ron; Mossinghoff, Michael J.
16
2008
Small limit points of Mahler’s measure. Zbl 1152.11343
Boyd, David W.; Mossinghoff, Michael J.
16
2005
Wieferich pairs and Barker sequences. Zbl 1228.11032
Mossinghoff, Michael J.
15
2009
Polynomials with height 1 and prescribed vanishing at 1. Zbl 0999.12001
Borwein, Peter; Mossinghoff, Michael J.
14
2000
Polynomials with restricted coefficients and prescribed noncyclotomic factors. Zbl 1134.11319
Mossinghoff, Michael J.
13
2003
Rudin-Shapiro-like polynomials in \(L_4\). Zbl 1042.11046
Borwein, Peter; Mossinghoff, Michael
12
2000
Combinatorics and graph theory. Zbl 0949.05001
Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
12
2000
Perturbing polynomials with all their roots on the unit circle. Zbl 0909.12003
Mossinghoff, Michael J.; Pinner, Christopher G.; Vaaler, Jeffrey D.
12
1998
A \(\$1\) problem. Zbl 1170.51007
Mossinghoff, Michael J.
12
2006
Slices, slabs, and sections of the unit hypercube. Zbl 1189.52011
Marichal, Jean-Luc; Mossinghoff, Michael J.
11
2008
Auxiliary polynomials for some problems regarding Mahler’s measure. Zbl 1074.11018
Dubickas, Artūras; Mossinghoff, Michael J.
10
2005
Barker sequences and flat polynomials. Zbl 1266.11051
Borwein, Peter; Mossinghoff, Michael
10
2008
Enumerating isodiametric and isoperimetric polygons. Zbl 1230.52013
Mossinghoff, Michael J.
9
2011
Between the problems of Pólya and Turán. Zbl 1305.11076
Mossinghoff, Michael J.; Trudgian, Timothy S.
9
2012
Wieferich pairs and Barker sequences. II. Zbl 1355.11018
Borwein, Peter; Mossinghoff, Michael J.
8
2014
The Mahler measure of polynomials with odd coefficients. Zbl 1143.11349
Borwein, Peter; Hare, Kevin G.; Mossinghoff, Michael J.
8
2004
The Lind-Lehmer constant for certain \(p\)-groups. Zbl 1410.11119
De Silva, Dilum; Mossinghoff, Michael J.; Pigno, Vincent; Pinner, Christopher
8
2019
Average Mahler’s measure and \(L_p\) norms of unimodular polynomials. Zbl 1238.30004
Choi, Kwok-Kwong Stephen; Mossinghoff, Michael J.
8
2011
Negative Pisot and Salem numbers as roots of Newman polynomials. Zbl 1294.11186
Hare, Kevin G.; Mossinghoff, Michael J.
7
2014
The distance to an irreducible polynomial. II. Zbl 1268.11040
Filaseta, Michael; Mossinghoff, Michael J.
7
2012
An isodiametric problem for equilateral polygons. Zbl 1166.52006
Mossinghoff, Michael J.
6
2008
Newman polynomials with prescribed vanishing and integer sets with distinct subset sums. Zbl 1023.11008
Borwein, Peter; Mossinghoff, Michael J.
6
2003
Most Reinhardt polygons are sporadic. Zbl 1412.52011
Hare, Kevin G.; Mossinghoff, Michael J.
6
2019
The distribution of \(k\)-free numbers. Zbl 1469.11310
Mossinghoff, Michael J.; Silva, Tomás Oliveira E.; Trudgian, Timothy S.
6
2021
The Liouville function and the Riemann hypothesis. Zbl 1497.11213
Mossinghoff, Michael J.; Trudgian, Timothy S.
6
2017
Sporadic Reinhardt polygons. Zbl 1280.52015
Hare, Kevin G.; Mossinghoff, Michael J.
6
2013
A generalization of the Goresky-Klapper conjecture. I. Zbl 1435.11007
Alsulmi, Badria; Cochrane, Todd; Mossinghoff, Michael J.; Pigno, Vincent; Pinner, Chris; Richardson, C. J.; Thompson, Ian
5
2018
A tale of two omegas. Zbl 1469.11311
Mossinghoff, Michael J.; Trudgian, Timothy S.
5
2020
Traceability in small claw-free graphs. Zbl 1109.05064
Harris, John M.; Mossinghoff, Michael J.
5
2006
Oscillations in weighted arithmetic sums. Zbl 1473.11167
Mossinghoff, Michael J.; Trudgian, Timothy S.
4
2021
The Lind-Lehmer constant for \(\mathbb{Z}_2^r\times\mathbb{Z}_4^s\). Zbl 1456.11204
Mossinghoff, Michael J.; Pigno, Vincent; Pinner, Christopher
4
2019
The distance to an irreducible polynomial. Zbl 1227.11049
Mossinghoff, Michael J.
4
2010
Irreducible polynomials and Barker sequences. Zbl 1322.68271
Borwein, Peter; Kaltofen, Erich; Mossinghoff, Michael J.
3
2007
Double Wieferich pairs and circulant Hadamard matrices. Zbl 1371.05037
Logan, Brooke; Mossinghoff, Michael J.
3
2017
Lower bounds for heights in cyclotomic extensions. Zbl 1203.11072
Ishak, M. I. M.; Mossinghoff, Michael J.; Pinner, Christopher; Wiles, Benjamin
3
2010
Explicit zero-free regions for the Riemann zeta-function. Zbl 07801552
Mossinghoff, Michael J.; Trudgian, Timothy S.; Yang, Andrew
3
2024
Generalizations of Gonçalves’ inequality. Zbl 1126.30006
Borwein, Peter; Mossinghoff, Michael J.; Vaaler, Jeffrey D.
2
2007
Heights of roots of polynomials with odd coefficients. Zbl 1239.11113
Garza, J.; Ishak, M. I. M.; Mossinghoff, M. J.; Pinner, C. G.; Wiles, B.
1
2010
Lower bounds for \(Z\)-numbers. Zbl 1209.11070
Dubickas, Arturas; Mossinghoff, Michael J.
1
2009
Explicit lower bounds on \(|L (1, \chi)|\). Zbl 1497.11212
Mossinghoff, Michael J.; Starichkova, Valeriia V.; Trudgian, Timothy S.
1
2022
Explicit zero-free regions for the Riemann zeta-function. Zbl 07801552
Mossinghoff, Michael J.; Trudgian, Timothy S.; Yang, Andrew
3
2024
Explicit lower bounds on \(|L (1, \chi)|\). Zbl 1497.11212
Mossinghoff, Michael J.; Starichkova, Valeriia V.; Trudgian, Timothy S.
1
2022
The distribution of \(k\)-free numbers. Zbl 1469.11310
Mossinghoff, Michael J.; Silva, Tomás Oliveira E.; Trudgian, Timothy S.
6
2021
Oscillations in weighted arithmetic sums. Zbl 1473.11167
Mossinghoff, Michael J.; Trudgian, Timothy S.
4
2021
A tale of two omegas. Zbl 1469.11311
Mossinghoff, Michael J.; Trudgian, Timothy S.
5
2020
The Lind-Lehmer constant for certain \(p\)-groups. Zbl 1410.11119
De Silva, Dilum; Mossinghoff, Michael J.; Pigno, Vincent; Pinner, Christopher
8
2019
Most Reinhardt polygons are sporadic. Zbl 1412.52011
Hare, Kevin G.; Mossinghoff, Michael J.
6
2019
The Lind-Lehmer constant for \(\mathbb{Z}_2^r\times\mathbb{Z}_4^s\). Zbl 1456.11204
Mossinghoff, Michael J.; Pigno, Vincent; Pinner, Christopher
4
2019
A generalization of the Goresky-Klapper conjecture. I. Zbl 1435.11007
Alsulmi, Badria; Cochrane, Todd; Mossinghoff, Michael J.; Pigno, Vincent; Pinner, Chris; Richardson, C. J.; Thompson, Ian
5
2018
The Liouville function and the Riemann hypothesis. Zbl 1497.11213
Mossinghoff, Michael J.; Trudgian, Timothy S.
6
2017
Double Wieferich pairs and circulant Hadamard matrices. Zbl 1371.05037
Logan, Brooke; Mossinghoff, Michael J.
3
2017
Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function. Zbl 1334.11070
Mossinghoff, Michael J.; Trudgian, Timothy S.
34
2015
Wieferich pairs and Barker sequences. II. Zbl 1355.11018
Borwein, Peter; Mossinghoff, Michael J.
8
2014
Negative Pisot and Salem numbers as roots of Newman polynomials. Zbl 1294.11186
Hare, Kevin G.; Mossinghoff, Michael J.
7
2014
Sporadic Reinhardt polygons. Zbl 1280.52015
Hare, Kevin G.; Mossinghoff, Michael J.
6
2013
Between the problems of Pólya and Turán. Zbl 1305.11076
Mossinghoff, Michael J.; Trudgian, Timothy S.
9
2012
The distance to an irreducible polynomial. II. Zbl 1268.11040
Filaseta, Michael; Mossinghoff, Michael J.
7
2012
Enumerating isodiametric and isoperimetric polygons. Zbl 1230.52013
Mossinghoff, Michael J.
9
2011
Average Mahler’s measure and \(L_p\) norms of unimodular polynomials. Zbl 1238.30004
Choi, Kwok-Kwong Stephen; Mossinghoff, Michael J.
8
2011
The distance to an irreducible polynomial. Zbl 1227.11049
Mossinghoff, Michael J.
4
2010
Lower bounds for heights in cyclotomic extensions. Zbl 1203.11072
Ishak, M. I. M.; Mossinghoff, Michael J.; Pinner, Christopher; Wiles, Benjamin
3
2010
Heights of roots of polynomials with odd coefficients. Zbl 1239.11113
Garza, J.; Ishak, M. I. M.; Mossinghoff, M. J.; Pinner, C. G.; Wiles, B.
1
2010
Wieferich pairs and Barker sequences. Zbl 1228.11032
Mossinghoff, Michael J.
15
2009
Lower bounds for \(Z\)-numbers. Zbl 1209.11070
Dubickas, Arturas; Mossinghoff, Michael J.
1
2009
Combinatorics and graph theory. 2nd ed. Zbl 1170.05001
Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
43
2008
Minimal Mahler measures. Zbl 1194.11100
Mossinghoff, Michael J.; Rhin, Georges; Wu, Qiang
17
2008
Sign changes in sums of the Liouville function. Zbl 1198.11090
Borwein, Peter; Ferguson, Ron; Mossinghoff, Michael J.
16
2008
Slices, slabs, and sections of the unit hypercube. Zbl 1189.52011
Marichal, Jean-Luc; Mossinghoff, Michael J.
11
2008
Barker sequences and flat polynomials. Zbl 1266.11051
Borwein, Peter; Mossinghoff, Michael
10
2008
An isodiametric problem for equilateral polygons. Zbl 1166.52006
Mossinghoff, Michael J.
6
2008
Lehmer’s problem for polynomials with odd coefficients. Zbl 1172.11034
Borwein, Peter; Dobrowolski, Edward; Mossinghoff, Michael J.
30
2007
Irreducible polynomials and Barker sequences. Zbl 1322.68271
Borwein, Peter; Kaltofen, Erich; Mossinghoff, Michael J.
3
2007
Generalizations of Gonçalves’ inequality. Zbl 1126.30006
Borwein, Peter; Mossinghoff, Michael J.; Vaaler, Jeffrey D.
2
2007
Isodiametric problems for polygons. Zbl 1122.52002
Mossinghoff, Michael J.
18
2006
A \(\$1\) problem. Zbl 1170.51007
Mossinghoff, Michael J.
12
2006
Traceability in small claw-free graphs. Zbl 1109.05064
Harris, John M.; Mossinghoff, Michael J.
5
2006
Small limit points of Mahler’s measure. Zbl 1152.11343
Boyd, David W.; Mossinghoff, Michael J.
16
2005
Auxiliary polynomials for some problems regarding Mahler’s measure. Zbl 1074.11018
Dubickas, Artūras; Mossinghoff, Michael J.
10
2005
The Mahler measure of polynomials with odd coefficients. Zbl 1143.11349
Borwein, Peter; Hare, Kevin G.; Mossinghoff, Michael J.
8
2004
Polynomials with restricted coefficients and prescribed noncyclotomic factors. Zbl 1134.11319
Mossinghoff, Michael J.
13
2003
Newman polynomials with prescribed vanishing and integer sets with distinct subset sums. Zbl 1023.11008
Borwein, Peter; Mossinghoff, Michael J.
6
2003
Polynomials with height 1 and prescribed vanishing at 1. Zbl 0999.12001
Borwein, Peter; Mossinghoff, Michael J.
14
2000
Rudin-Shapiro-like polynomials in \(L_4\). Zbl 1042.11046
Borwein, Peter; Mossinghoff, Michael
12
2000
Combinatorics and graph theory. Zbl 0949.05001
Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
12
2000
Polynomials with small Mahler measure. Zbl 0918.11056
Mossinghoff, Michael J.
27
1998
Perturbing polynomials with all their roots on the unit circle. Zbl 0909.12003
Mossinghoff, Michael J.; Pinner, Christopher G.; Vaaler, Jeffrey D.
12
1998
all top 5

Cited by 390 Authors

27 Mossinghoff, Michael J.
13 Pinner, Christopher G.
12 Erdélyi, Tamás
11 Samuels, Charles L.
10 Audet, Charles
10 Trudgian, Timothy S.
7 Borwein, Peter Benjamin
7 Hare, Kevin G.
7 Jankauskas, Jonas
6 Bingane, Christian
6 Messine, Frédéric
5 Cully-Hugill, Michaela
5 Dubickas, Artūras
5 Flammang, Valérie
5 Hansen, Pierre
5 Rhin, Georges
4 Gallardo, Luis Henri
4 Johnston, Daniel R.
4 Kadiri, Habiba
4 Mafuta, Phillip
4 Ramaré, Olivier
4 Sac-Epee, Jean-Marc
4 Smyth, Christopher J.
3 Banerjee, Pradipto
3 Boyd, David William
3 Choi, Stephen Kwok-Kwong
3 Coons, Michael
3 Dikranjan, Dikran N.
3 Drungilas, Paulius
3 Fili, Paul A.
3 Lee, Ethan Simpson
3 Ninin, Jordan
3 Pottmeyer, Lukas
3 Silver, Daniel S.
3 Trudgian, Tim
3 Williams, Susan G.
2 Akiyama, Shigeki
2 Axler, Christian
2 Baake, Michael
2 Chatterjee, Debasish
2 Choi, Kwok-Kwong Stephen
2 Das, Sunil Ranjan
2 de la Peña, José Antonio
2 De Schutter, Bart
2 Dharmarajan, R.
2 Fernandes, Cristina G.
2 Filaseta, Michael A.
2 Fiori, Andrew
2 Fried, Sela
2 Giordano Bruno, Anna
2 Harrington, Joshua
2 Humphries, Peter J.
2 Ishak, M. I. M.
2 Jouve, Florent
2 Kundu, Atreyee
2 Lalín, Matilde Noemí
2 Leung, Ka Hin
2 Mañibo, Neil
2 Martin, Greg
2 Mazorodze, Jaya Percival
2 Munyira, Sheunesu
2 Mushanyu, Josiah
2 Németh, László
2 Paudel, Bishnu
2 Peled, Ron
2 Ramachandran, Doraiswamy
2 Schmidt, Bernhard
2 Schmidt, Kai-Uwe
2 Shan, Songling
2 Shparlinski, Igor E.
2 Siddiqui, Muhammad Kamran
2 Šiurys, Jonas
2 Stankov, Dragan
2 Swidinsky, Joshua
2 Wang, Cong
2 Wiles, Benjamin
2 Wu, Qiang
2 Xiong, Maosheng
2 Yang, Andrew
1 Aberbach, Ian M.
1 Abunamous, Amna A. E.
1 Adi, Dana
1 Ahmad, Ali
1 Ahn, Jeoung-Hwan
1 Ait El Cadi, Abdessamad
1 Akama, Yohji
1 Albin, Nathan
1 Ali, Usman
1 Aliev, Iskander M.
1 Alkan, Emre
1 Alvarez, Victor
1 Amoroso, Francesco Antonio
1 Artiba, Abdelhakim
1 Austin, Jathan W.
1 Avila, Artur
1 Baig, Abdul Qudair
1 Balasubramanian, Ramachandran
1 Balestro, Vitor
1 Bandopadhyay, Sriparna
1 Bao, Jiakang
...and 290 more Authors
all top 5

Cited in 135 Serials

20 Mathematics of Computation
18 Journal of Number Theory
14 International Journal of Number Theory
9 Acta Arithmetica
8 Journal of Mathematical Analysis and Applications
7 Journal of Global Optimization
7 Experimental Mathematics
7 Journal de Théorie des Nombres de Bordeaux
6 Rocky Mountain Journal of Mathematics
6 Proceedings of the American Mathematical Society
6 Transactions of the American Mathematical Society
6 Discrete & Computational Geometry
5 Designs, Codes and Cryptography
5 Integers
4 Bulletin of the Australian Mathematical Society
4 Advances in Mathematics
4 Functiones et Approximatio. Commentarii Mathematici
4 Journal of Approximation Theory
4 LMS Journal of Computation and Mathematics
4 Optimization Letters
4 Research in Number Theory
3 Discrete Mathematics
3 Journal d’Analyse Mathématique
3 Archiv der Mathematik
3 Journal of Combinatorial Theory. Series A
3 Mathematische Zeitschrift
3 Monatshefte für Mathematik
3 Statistics & Probability Letters
3 Acta Mathematica Hungarica
3 Linear Algebra and its Applications
2 American Mathematical Monthly
2 Discrete Applied Mathematics
2 Israel Journal of Mathematics
2 Journal of Mathematical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Annales de l’Institut Fourier
2 Bulletin of the London Mathematical Society
2 Geometriae Dedicata
2 Illinois Journal of Mathematics
2 Mathematika
2 Theoretical Computer Science
2 Constructive Approximation
2 European Journal of Operational Research
2 ELA. The Electronic Journal of Linear Algebra
2 The Ramanujan Journal
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Oberwolfach Reports
2 The College Mathematics Journal
2 Discrete Mathematics, Algorithms and Applications
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Lithuanian Mathematical Journal
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Periodica Mathematica Hungarica
1 Journal of Geometry and Physics
1 Beiträge zur Algebra und Geometrie
1 Acta Mathematica Vietnamica
1 Applied Mathematics and Computation
1 Automatica
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Dissertationes Mathematicae
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Journal of Pure and Applied Algebra
1 Journal of Statistical Planning and Inference
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Operations Research
1 Quaestiones Mathematicae
1 Topology and its Applications
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Systems & Control Letters
1 Bulletin of the Korean Mathematical Society
1 Acta Mathematicae Applicatae Sinica. English Series
1 SIAM Journal on Discrete Mathematics
1 Forum Mathematicum
1 Journal of the Ramanujan Mathematical Society
1 Neural Computation
1 The Annals of Applied Probability
1 Aequationes Mathematicae
1 Journal of Elasticity
1 Journal of Statistical Computation and Simulation
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Mathematical Programming. Series A. Series B
1 Journal of Knot Theory and its Ramifications
1 Journal of Logic, Language and Information
1 The Journal of Analysis
1 Applied and Computational Harmonic Analysis
1 Journal of the Egyptian Mathematical Society
...and 35 more Serials
all top 5

Cited in 47 Fields

192 Number theory (11-XX)
53 Combinatorics (05-XX)
27 Convex and discrete geometry (52-XX)
25 Functions of a complex variable (30-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
18 Operations research, mathematical programming (90-XX)
17 Dynamical systems and ergodic theory (37-XX)
16 Field theory and polynomials (12-XX)
14 Probability theory and stochastic processes (60-XX)
12 Information and communication theory, circuits (94-XX)
11 Group theory and generalizations (20-XX)
11 Computer science (68-XX)
9 Algebraic geometry (14-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
7 Geometry (51-XX)
6 Real functions (26-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Manifolds and cell complexes (57-XX)
5 Statistics (62-XX)
5 Numerical analysis (65-XX)
4 Associative rings and algebras (16-XX)
4 Topological groups, Lie groups (22-XX)
4 Measure and integration (28-XX)
4 Abstract harmonic analysis (43-XX)
4 Quantum theory (81-XX)
4 Biology and other natural sciences (92-XX)
3 General and overarching topics; collections (00-XX)
3 Mathematical logic and foundations (03-XX)
3 Partial differential equations (35-XX)
3 Approximations and expansions (41-XX)
3 Systems theory; control (93-XX)
2 History and biography (01-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
2 Mathematics education (97-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year