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## Moree, Pieter

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 Author ID: moree.pieter Published as: Moree, Pieter; Moree, P. External Links: MGP · Wikidata
 Documents Indexed: 123 Publications since 1990, including 5 Books Reviewing Activity: 168 Reviews
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#### Co-Authors

 57 single-authored 8 Luca, Florian 7 Gallot, Yves 5 Solé, Patrick 5 Stevenhagen, Peter 4 Ciolan, Alexandru 4 Kolyada, Sergiǐ Fedorovych 3 Manin, Yuri Ivanovich 3 Osburn, Robert 3 Saad Eddin, Sumaia 3 Shparlinski, Igor E. 3 Ward, Thomas B. 2 Decker, Andreas 2 Holden, Joshua Brandon 2 Kapranov, Mikhail M. 2 Martirosyan, Lilit 2 Möller, Martin 2 Potyagailo, Leonid 2 Sedunova, Alisa 2 Sha, Min 2 Stewart, Cameron L. 2 te Riele, Herman 2 Tóth, László 1 Bachman, Gennady 1 Banks, William D. 1 Baoulina, Ioulia N. 1 Besser, Amnon 1 Bordellès, Olivier 1 Borello, Martino 1 Brink, David M. 1 Bzdęga, Bartłomiej 1 Camburu, Oana-Maria 1 Cazaran, Jilyana 1 Choie, YoungJu 1 Cobeli, Cristian 1 de Clercq, Adriaan A. 1 de Weger, Benne 1 Dicuangco-Valdez, Lilibeth 1 Dicuangco, Lilibeth 1 Evertse, Jan-Hendrik 1 Faye, Bernadette 1 Ford, Kevin B. 1 García Sánchez, Pedro A. 1 Gijswijt, Dion C. 1 Grau, José María 1 Grunberg, Daniel B. 1 Hart, Derrick N. 1 Herrera-Poyatos, Andrés 1 Hommersom, Huib 1 Hu, Su 1 Ji, Chungang 1 Kaszián, Jonas 1 Kester, P. I. 1 Kim, Minsoo 1 Lenstra, Hendrik W. jun. 1 Lichiardopol, Nicolas 1 Matthis, Maria 1 Moree, Jan 1 Mullen, Gary L. 1 Nevans, C. Wesley 1 Oller-Marcén, Antonio M. 1 Pohl, Anke D. 1 Reznikov, Alexander G. 1 Roobol, Lars 1 Roskam, Hans 1 Roşu, Eugenia 1 Snoha, L’ubomír 1 Stoumen, Max A. 1 Sury, Balasubramanian 1 Suzuki, Yuta 1 Tijdeman, Robert 1 Urbanowicz, Jerzy 1 Weiß, Melvin 1 White, B. B. 1 Wilms, Robert 1 Zaharescu, Alexandru 1 Zudilin, Wadim 1 Zumalacárregui, Ana
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#### Serials

 12 Journal of Number Theory 7 Acta Arithmetica 7 Nieuw Archief voor Wiskunde. Vijfde Serie 6 Mathematics of Computation 5 Manuscripta Mathematica 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Integers 4 International Journal of Number Theory 3 American Mathematical Monthly 3 Discrete Mathematics 3 Archiv der Mathematik 3 Functiones et Approximatio. Commentarii Mathematici 3 Indagationes Mathematicae. New Series 3 Journal de Théorie des Nombres de Bordeaux 3 Journal of Integer Sequences 3 Contemporary Mathematics 2 Bulletin of the Australian Mathematical Society 2 Journal of the Ramanujan Mathematical Society 2 Finite Fields and their Applications 2 Mathematics Newsletter 1 Computers & Mathematics with Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Colloquium Mathematicum 1 The Fibonacci Quarterly 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Japanese Journal of Mathematics. New Series 1 Kodai Mathematical Journal 1 Mathematische Nachrichten 1 The Mathematics Student 1 Mathematika 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Publicationes Mathematicae 1 Results in Mathematics 1 Simon Stevin 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 SIAM Journal on Discrete Mathematics 1 Acta Mathematica Universitatis Comenianae. New Series 1 L’Enseignement Mathématique. 2e Série 1 Expositiones Mathematicae 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Experimental Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 The Ramanujan Journal 1 The Asian Journal of Mathematics 1 Sarajevo Journal of Mathematics 1 Progress in Mathematics 1 Šiauliai Mathematical Seminar 1 Uniform Distribution Theory 1 Involve 1 Annales Mathématiques du Québec
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#### Fields

 113 Number theory (11-XX) 12 History and biography (01-XX) 9 General and overarching topics; collections (00-XX) 8 Information and communication theory, circuits (94-XX) 5 Group theory and generalizations (20-XX) 4 Combinatorics (05-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

95 Publications have been cited 503 times in 284 Documents Cited by Year
Artin’s primitive root conjecture – a survey. Zbl 1271.11002
Moree, Pieter
2012
Approximation of singular series and automata. Zbl 1007.11084
Moree, Pieter
2000
Ternary cyclotomic polynomials having a large coefficient. Zbl 1230.11030
Gallot, Yves; Moree, Pieter
2009
On primes in arithmetic progression having a prescribed primitive root. Zbl 0931.11036
Moree, Pieter
1999
Inverse cyclotomic polynomials. Zbl 1220.11037
Moree, Pieter
2009
Numerical semigroups, cyclotomic polynomials, and Bernoulli numbers. Zbl 1325.11024
Moree, Pieter
2014
On the divisors of $$a^ k+b^ k$$. Zbl 0884.11019
Moree, Pieter
1997
Convoluted convolved Fibonacci numbers. Zbl 1069.11004
Moree, Pieter
2004
Character sums for primitive root densities. Zbl 1353.11104
Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P.
2014
On primes in arithmetic progression having a prescribed primitive root. II. Zbl 1223.11118
Moree, Pieter
2008
Values of the Euler $$\varphi$$-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields. Zbl 1294.11164
Ford, Kevin; Luca, Florian; Moree, Pieter
2014
A two-variable Artin conjecture. Zbl 0966.11042
Moree, Pieter; Stevenhagen, Peter
2000
On the distribution of the order and index of $$g$$ (mod $$p$$) over residue classes. I. Zbl 1099.11052
Moree, Pieter
2005
On primes $$p$$ for which $$d$$ divides $$\text{ord}_p(g)$$. Zbl 1228.11152
Moree, Pieter
2005
Cyclotomic numerical semigroups. Zbl 1343.20060
Ciolan, Emil-Alexandru; García-Sánchez, Pedro A.; Moree, Pieter
2016
On the average number of elements in a finite field with order or index in a prescribed residue class. Zbl 1061.11050
Moree, Pieter
2004
Integers without large prime factors: from Ramanujan to de Bruijn. Zbl 1335.11076
Moree, Pieter
2014
On a theorem of Carlitz-Von Staudt. Zbl 0820.11002
Moree, Pieter
1994
On Robin’s criterion for the Riemann hypothesis. Zbl 1163.11059
Choie, YoungJu; Lichiardopol, Nicolas; Moree, Pieter; Solé, Patrick
2007
On a claim of Ramanujan in his first letter to Hardy. Zbl 0973.11084
Moree, Pieter; Cazaran, Jilyana
1999
Some heuristics and results for small cycles of the discrete logarithm. Zbl 1116.11004
Holden, Joshua; Moree, Pieter
2006
Chebyshev’s bias for composite numbers with restricted prime divisors. Zbl 1045.11063
Moree, Pieter
2004
Neighboring ternary cyclotomic coefficients differ by at most one. Zbl 1205.11033
Gallot, Yves; Moree, Pieter
2009
Psixyology and diophantine equations. Zbl 0784.11046
Moree, Pieter
1993
Divisibility properties of integers $$x,k$$ satisfying $$1^ k+\cdots +(x- 1)^ k=x^ k$$. Zbl 0816.11024
Moree, P.; te Riele, Herman J. J.; Urbanowicz, J.
1994
Diophantine equations of Erdös-Moser type. Zbl 0851.11020
Moree, Pieter
1996
A top hat for Moser’s four mathemagical rabbits. Zbl 1228.11045
Moree, Pieter
2011
The family of ternary cyclotomic polynomials with one free prime. Zbl 1292.11052
Gallot, Yves; Moree, Pieter; Wilms, Robert
2011
Asymptotically exact heuristic for (near) primitive roots. Zbl 1101.11326
Moree, Pieter
2000
Value distribution of cyclotomic polynomial coefficients. Zbl 1313.11112
Gallot, Yves; Moree, Pieter; Hommersom, Huib
2011
Sequences of enumerative geometry: congruences and asymptotics, with an appendix by Don Zagier. Zbl 1182.11047
Grünberg, Daniel B.; Moree, Pieter
2008
Moser’s mathemagical work on the equation $$1^k+2^k+\ldots+(m-1)^k=m^k$$. Zbl 1362.11045
Moree, Pieter
2013
Prime divisors of Lucas sequences. Zbl 0913.11048
Moree, Pieter; Stevenhagen, Peter
1997
Dickson polynomial discriminators. Zbl 0858.11057
Moree, Pieter; Mullen, Gary L.
1996
The formal series Witt transform. Zbl 1064.05025
Moree, Pieter
2005
An interval result for the number field $$\psi{}(x,y)$$ function. Zbl 0772.11044
Moree, Pieter
1992
Counting numbers in multiplicative sets: Landau versus Ramanujan. Zbl 1382.11002
Moree, Pieter
2011
Nicolaas Govert de Bruijn, the enchanter of friable integers. Zbl 1295.11102
Moree, Pieter
2013
The incongruence of consecutive values of polynomials. Zbl 0893.11007
Moree, Pieter
1996
Three-manifold subgroup growth, homology of coverings and simplicial volume. Zbl 0913.20017
Reznikov, Alexander; Moree, Pieter
1997
On some claims in Ramanujan’s ‘unpublished’ manuscript on the partition and tau functions. Zbl 1066.11059
Moree, Pieter
2004
Multivariate Diophantine equations with many solutions. Zbl 1026.11041
Evertse, J.-H.; Moree, P.; Stewart, C. L.; Tijdeman, R.
2003
Uniform distribution of primes having a prescribed primitive root. Zbl 0926.11003
Moree, Pieter
1999
The Erdős–Moser equation $$1^k+2^k+\cdots +(m-1)^k=m^k$$ revisited using continued fractions. Zbl 1231.11038
Gallot, Yves; Moree, Pieter; Zudilin, Wadim
2011
Some Ramanujan-Nagell equations with many solutions. Zbl 0718.11011
Moree, P.; Stewart, C. L.
1990
Values of coefficients of cyclotomic polynomials. II. Zbl 1221.11067
Ji, Chungang; Li, Weiping; Moree, Pieter
2009
Cyclotomic polynomials at roots of unity. Zbl 1435.11060
Bzdęga, Bartłomiej; Herrera-Poyatos, Andrés; Moree, Pieter
2018
Salajan’s conjecture on discriminating terms in an exponential sequence. Zbl 1396.11140
Moree, Pieter; Zumalacárregui, Ana
2016
Bertrand’s postulate for primes in arithmetical progressions. Zbl 0789.11001
Moree, P.
1993
Counting divisors of Lucas numbers. Zbl 0936.11013
Moree, Pieter
1998
Prime divisors of the Lagarias sequence. Zbl 1064.11013
Moree, Pieter; Stevenhagen, Peter
2001
On the distribution of the order and index of $$g \pmod p$$ over residue classes. II. Zbl 1099.11053
Moree, Pieter
2006
Near-primitive roots. Zbl 1300.11006
Moree, Pieter
2013
Coefficient convexity of divisors of $$x^n-1$$. Zbl 1372.11036
Decker, Andreas; Moree, Pieter
2013
Non-Beiter ternary cyclotomic polynomials with an optimally large set of coefficients. Zbl 1264.11018
Moree, Pieter; Roşu, Eugenia
2012
The lengths of Hermitian self-dual extended duadic codes. Zbl 1112.11046
Dicuangco, Lilibeth; Moree, Pieter; Solé, Patrick
2007
Artin prime producing quadratics. Zbl 1214.11107
Moree, P.
2007
The hexagonal versus the square lattice. Zbl 1030.11077
Moree, Pieter; te Riele, Herman J. J.
2004
Counting RSA-integers. Zbl 1177.11078
Decker, Andreas; Moree, Pieter
2008
Primes in a prescribed arithmetic progression dividing the sequence $$\{a^k+b^k\}^\infty_{k=1}$$. Zbl 1190.11052
Moree, P.; Sury, B.
2009
The Nicolas and Robin inequalities with sums of two squares. Zbl 1275.11130
Banks, William D.; Hart, Derrick N.; Moree, Pieter; Nevans, C. Wesley
2009
Counting carefree couples. Zbl 1382.11008
Moree, Pieter
2014
Irregular behaviour of class numbers and Euler-Kronecker constants of cyclotomic fields: the log log log devil at play. Zbl 1451.11117
Moree, Pieter
2018
Two-dimensional lattices with few distances. Zbl 1117.11037
Moree, Pieter; Osburn, Robert
2006
Cyclotomic coefficients: gaps and jumps. Zbl 1405.11032
Camburu, Oana-Maria; Ciolan, Emil-Alexandru; Luca, Florian; Moree, Pieter; Shparlinski, Igor E.
2016
Solutions of the congruence $$1+2^{f(n)}+\ldots +n^{f(n)}\equiv 0 \pmod n$$. Zbl 1415.11007
Grau, José María; Moree, Pieter; Oller-Marcén, Antonio M.
2016
On arithmetic progressions having only few different prime factors in comparison with their length. Zbl 0821.11044
Moree, Pieter
1995
New conjectures and results for small cycles of the discrete logarithm. Zbl 1100.11005
Holden, Joshua; Moree, Pieter
2004
Asymptotically exact heuristics for (near) primitive roots. II. Zbl 1160.11362
Moree, Pieter
2003
On the distribution of the order and index of $$g\pmod p$$ over residue classes. III. Zbl 1203.11066
Moree, Pieter
2006
Asymptotically exact heuristics for prime divisors of the sequence $$\{a^k+b^k\}^\infty_{k=1}$$. Zbl 1107.11038
Moree, Pieter
2006
Computing higher rank primitive root densities. Zbl 1353.11105
Moree, P.; Stevenhagen, P.
2014
Dynamical numbers. Interplay between dynamical systems and number theory. A special program, May 1–July 31, 2009. International conference, MPI, Bonn, Germany, July 20–24, 2009. Proceedings. Zbl 1205.00087
Kolyada, Sergiy (ed.); Manin, Yuri (ed.); Möller, Martin (ed.); Moree, Pieter (ed.); Ward, Thomas (ed.)
2010
Browkin’s discriminator conjecture. Zbl 1453.11030
Ciolan, Alexandru; Moree, Pieter
2019
On the discriminator of Lucas sequences. Zbl 1456.11021
Faye, Bernadette; Luca, Florian; Moree, Pieter
2019
On the distribution of the order over residue classes. Zbl 1186.11061
Moree, Pieter
2006
Products of two proportional primes. Zbl 1428.11173
2017
Sister Beiter and Kloosterman: a tale of cyclotomic coefficients and modular inverses. Zbl 1312.11016
Cobeli, Cristian; Gallot, Yves; Moree, Pieter; Zaharescu, Alexandru
2013
On a conjecture of Rodier on primitive roots. Zbl 0888.11035
Moree, P.
1997
A generalization of the Buchstab equation. Zbl 0942.11042
Moree, Pieter
1997
On the number of $$y$$-smooth natural numbers $$\leq x$$ representable as a sum of two integer squares. Zbl 0791.11046
Moree, Pieter
1993
A note on Artin’s conjecture. Zbl 0809.11057
Moree, Pieter
1993
On the prime density of Lucas sequences. Zbl 0873.11058
Moree, Pieter
1996
Around Pelikán’s conjecture on very odd sequences. Zbl 1072.11071
Moree, Pieter; Solé, Patrick
2005
Counting numbers in multiplicative sets: Landau versus Ramanujan. Zbl 1315.11083
Moree, Pieter
2013
On the existence of Hermitian self-dual extended abelian group codes. Zbl 1315.94120
Dicuangco-Valdez, Lilibeth; Moree, Pieter; Solé, Patrick
2014
Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313
Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid
2008
A special value of Dickman’s function. Zbl 1194.11106
Moree, Pieter
1995
Counting terms $$U_n$$ of third order linear recurrences with $$u_n = u^2 + nv^2$$. Zbl 1425.11024
Ciolan, Alexandru; Luca, Florian; Moree, Pieter
2017
Coefficients of (inverse) unitary cyclotomic polynomials. Zbl 07227752
Jones, G.; Kester, P. I.; Martirosyan, L.; Moree, P.; Tóth, L.; White, B. B.; Zhang, B.
2020
Denominators of Bernoulli polynomials. Zbl 1415.11121
Bordellès, Olivier; Luca, Florian; Moree, Pieter; Shparlinski, Igor E.
2018
Irregular primes with respect to Genocchi numbers and Artin’s primitive root conjecture. Zbl 07101902
Hu, Su; Kim, Min-Soo; Moree, Pieter; Sha, Min
2019
Periodic structure of the exponential pseudorandom number generator. Zbl 1368.11085
Kaszián, Jonas; Moree, Pieter; Shparlinski, Igor E.
2014
Asymptotic performance of metacyclic codes. Zbl 1434.94095
Borello, Martino; Moree, Pieter; Solé, Patrick
2020
Dynamics and numbers. A special programm: June 1 – July 31, 2014. International conference: July 21–25, 2014, Max-Planck Institute for Mathematics, Bonn, Germany. Proceedings. Zbl 1346.37004
Kolyada, Sergiǐ (ed.); Möller, Martin (ed.); Moree, Pieter (ed.); Ward, Thomas (ed.)
2016
Coefficients of (inverse) unitary cyclotomic polynomials. Zbl 07227752
Jones, G.; Kester, P. I.; Martirosyan, L.; Moree, P.; Tóth, L.; White, B. B.; Zhang, B.
2020
Asymptotic performance of metacyclic codes. Zbl 1434.94095
Borello, Martino; Moree, Pieter; Solé, Patrick
2020
Browkin’s discriminator conjecture. Zbl 1453.11030
Ciolan, Alexandru; Moree, Pieter
2019
On the discriminator of Lucas sequences. Zbl 1456.11021
Faye, Bernadette; Luca, Florian; Moree, Pieter
2019
Irregular primes with respect to Genocchi numbers and Artin’s primitive root conjecture. Zbl 07101902
Hu, Su; Kim, Min-Soo; Moree, Pieter; Sha, Min
2019
Cyclotomic polynomials at roots of unity. Zbl 1435.11060
Bzdęga, Bartłomiej; Herrera-Poyatos, Andrés; Moree, Pieter
2018
Irregular behaviour of class numbers and Euler-Kronecker constants of cyclotomic fields: the log log log devil at play. Zbl 1451.11117
Moree, Pieter
2018
Denominators of Bernoulli polynomials. Zbl 1415.11121
Bordellès, Olivier; Luca, Florian; Moree, Pieter; Shparlinski, Igor E.
2018
Products of two proportional primes. Zbl 1428.11173
2017
Counting terms $$U_n$$ of third order linear recurrences with $$u_n = u^2 + nv^2$$. Zbl 1425.11024
Ciolan, Alexandru; Luca, Florian; Moree, Pieter
2017
Cyclotomic numerical semigroups. Zbl 1343.20060
Ciolan, Emil-Alexandru; García-Sánchez, Pedro A.; Moree, Pieter
2016
Salajan’s conjecture on discriminating terms in an exponential sequence. Zbl 1396.11140
Moree, Pieter; Zumalacárregui, Ana
2016
Cyclotomic coefficients: gaps and jumps. Zbl 1405.11032
Camburu, Oana-Maria; Ciolan, Emil-Alexandru; Luca, Florian; Moree, Pieter; Shparlinski, Igor E.
2016
Solutions of the congruence $$1+2^{f(n)}+\ldots +n^{f(n)}\equiv 0 \pmod n$$. Zbl 1415.11007
Grau, José María; Moree, Pieter; Oller-Marcén, Antonio M.
2016
Dynamics and numbers. A special programm: June 1 – July 31, 2014. International conference: July 21–25, 2014, Max-Planck Institute for Mathematics, Bonn, Germany. Proceedings. Zbl 1346.37004
Kolyada, Sergiǐ; Möller, Martin; Moree, Pieter; Ward, Thomas
2016
Numerical semigroups, cyclotomic polynomials, and Bernoulli numbers. Zbl 1325.11024
Moree, Pieter
2014
Character sums for primitive root densities. Zbl 1353.11104
Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P.
2014
Values of the Euler $$\varphi$$-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields. Zbl 1294.11164
Ford, Kevin; Luca, Florian; Moree, Pieter
2014
Integers without large prime factors: from Ramanujan to de Bruijn. Zbl 1335.11076
Moree, Pieter
2014
Counting carefree couples. Zbl 1382.11008
Moree, Pieter
2014
Computing higher rank primitive root densities. Zbl 1353.11105
Moree, P.; Stevenhagen, P.
2014
On the existence of Hermitian self-dual extended abelian group codes. Zbl 1315.94120
Dicuangco-Valdez, Lilibeth; Moree, Pieter; Solé, Patrick
2014
Periodic structure of the exponential pseudorandom number generator. Zbl 1368.11085
Kaszián, Jonas; Moree, Pieter; Shparlinski, Igor E.
2014
Moser’s mathemagical work on the equation $$1^k+2^k+\ldots+(m-1)^k=m^k$$. Zbl 1362.11045
Moree, Pieter
2013
Nicolaas Govert de Bruijn, the enchanter of friable integers. Zbl 1295.11102
Moree, Pieter
2013
Near-primitive roots. Zbl 1300.11006
Moree, Pieter
2013
Coefficient convexity of divisors of $$x^n-1$$. Zbl 1372.11036
Decker, Andreas; Moree, Pieter
2013
Sister Beiter and Kloosterman: a tale of cyclotomic coefficients and modular inverses. Zbl 1312.11016
Cobeli, Cristian; Gallot, Yves; Moree, Pieter; Zaharescu, Alexandru
2013
Counting numbers in multiplicative sets: Landau versus Ramanujan. Zbl 1315.11083
Moree, Pieter
2013
Artin’s primitive root conjecture – a survey. Zbl 1271.11002
Moree, Pieter
2012
Non-Beiter ternary cyclotomic polynomials with an optimally large set of coefficients. Zbl 1264.11018
Moree, Pieter; Roşu, Eugenia
2012
A top hat for Moser’s four mathemagical rabbits. Zbl 1228.11045
Moree, Pieter
2011
The family of ternary cyclotomic polynomials with one free prime. Zbl 1292.11052
Gallot, Yves; Moree, Pieter; Wilms, Robert
2011
Value distribution of cyclotomic polynomial coefficients. Zbl 1313.11112
Gallot, Yves; Moree, Pieter; Hommersom, Huib
2011
Counting numbers in multiplicative sets: Landau versus Ramanujan. Zbl 1382.11002
Moree, Pieter
2011
The Erdős–Moser equation $$1^k+2^k+\cdots +(m-1)^k=m^k$$ revisited using continued fractions. Zbl 1231.11038
Gallot, Yves; Moree, Pieter; Zudilin, Wadim
2011
Dynamical numbers. Interplay between dynamical systems and number theory. A special program, May 1–July 31, 2009. International conference, MPI, Bonn, Germany, July 20–24, 2009. Proceedings. Zbl 1205.00087
Kolyada, Sergiy; Manin, Yuri; Möller, Martin; Moree, Pieter; Ward, Thomas
2010
Ternary cyclotomic polynomials having a large coefficient. Zbl 1230.11030
Gallot, Yves; Moree, Pieter
2009
Inverse cyclotomic polynomials. Zbl 1220.11037
Moree, Pieter
2009
Neighboring ternary cyclotomic coefficients differ by at most one. Zbl 1205.11033
Gallot, Yves; Moree, Pieter
2009
Values of coefficients of cyclotomic polynomials. II. Zbl 1221.11067
Ji, Chungang; Li, Weiping; Moree, Pieter
2009
Primes in a prescribed arithmetic progression dividing the sequence $$\{a^k+b^k\}^\infty_{k=1}$$. Zbl 1190.11052
Moree, P.; Sury, B.
2009
The Nicolas and Robin inequalities with sums of two squares. Zbl 1275.11130
Banks, William D.; Hart, Derrick N.; Moree, Pieter; Nevans, C. Wesley
2009
On primes in arithmetic progression having a prescribed primitive root. II. Zbl 1223.11118
Moree, Pieter
2008
Sequences of enumerative geometry: congruences and asymptotics, with an appendix by Don Zagier. Zbl 1182.11047
Grünberg, Daniel B.; Moree, Pieter
2008
Counting RSA-integers. Zbl 1177.11078
Decker, Andreas; Moree, Pieter
2008
Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313
Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid
2008
On Robin’s criterion for the Riemann hypothesis. Zbl 1163.11059
Choie, YoungJu; Lichiardopol, Nicolas; Moree, Pieter; Solé, Patrick
2007
The lengths of Hermitian self-dual extended duadic codes. Zbl 1112.11046
Dicuangco, Lilibeth; Moree, Pieter; Solé, Patrick
2007
Artin prime producing quadratics. Zbl 1214.11107
Moree, P.
2007
Some heuristics and results for small cycles of the discrete logarithm. Zbl 1116.11004
Holden, Joshua; Moree, Pieter
2006
On the distribution of the order and index of $$g \pmod p$$ over residue classes. II. Zbl 1099.11053
Moree, Pieter
2006
Two-dimensional lattices with few distances. Zbl 1117.11037
Moree, Pieter; Osburn, Robert
2006
On the distribution of the order and index of $$g\pmod p$$ over residue classes. III. Zbl 1203.11066
Moree, Pieter
2006
Asymptotically exact heuristics for prime divisors of the sequence $$\{a^k+b^k\}^\infty_{k=1}$$. Zbl 1107.11038
Moree, Pieter
2006
On the distribution of the order over residue classes. Zbl 1186.11061
Moree, Pieter
2006
On the distribution of the order and index of $$g$$ (mod $$p$$) over residue classes. I. Zbl 1099.11052
Moree, Pieter
2005
On primes $$p$$ for which $$d$$ divides $$\text{ord}_p(g)$$. Zbl 1228.11152
Moree, Pieter
2005
The formal series Witt transform. Zbl 1064.05025
Moree, Pieter
2005
Around Pelikán’s conjecture on very odd sequences. Zbl 1072.11071
Moree, Pieter; Solé, Patrick
2005
Convoluted convolved Fibonacci numbers. Zbl 1069.11004
Moree, Pieter
2004
On the average number of elements in a finite field with order or index in a prescribed residue class. Zbl 1061.11050
Moree, Pieter
2004
Chebyshev’s bias for composite numbers with restricted prime divisors. Zbl 1045.11063
Moree, Pieter
2004
On some claims in Ramanujan’s ‘unpublished’ manuscript on the partition and tau functions. Zbl 1066.11059
Moree, Pieter
2004
The hexagonal versus the square lattice. Zbl 1030.11077
Moree, Pieter; te Riele, Herman J. J.
2004
New conjectures and results for small cycles of the discrete logarithm. Zbl 1100.11005
Holden, Joshua; Moree, Pieter
2004
Multivariate Diophantine equations with many solutions. Zbl 1026.11041
Evertse, J.-H.; Moree, P.; Stewart, C. L.; Tijdeman, R.
2003
Asymptotically exact heuristics for (near) primitive roots. II. Zbl 1160.11362
Moree, Pieter
2003
Prime divisors of the Lagarias sequence. Zbl 1064.11013
Moree, Pieter; Stevenhagen, Peter
2001
Approximation of singular series and automata. Zbl 1007.11084
Moree, Pieter
2000
A two-variable Artin conjecture. Zbl 0966.11042
Moree, Pieter; Stevenhagen, Peter
2000
Asymptotically exact heuristic for (near) primitive roots. Zbl 1101.11326
Moree, Pieter
2000
On primes in arithmetic progression having a prescribed primitive root. Zbl 0931.11036
Moree, Pieter
1999
On a claim of Ramanujan in his first letter to Hardy. Zbl 0973.11084
Moree, Pieter; Cazaran, Jilyana
1999
Uniform distribution of primes having a prescribed primitive root. Zbl 0926.11003
Moree, Pieter
1999
Counting divisors of Lucas numbers. Zbl 0936.11013
Moree, Pieter
1998
On the divisors of $$a^ k+b^ k$$. Zbl 0884.11019
Moree, Pieter
1997
Prime divisors of Lucas sequences. Zbl 0913.11048
Moree, Pieter; Stevenhagen, Peter
1997
Three-manifold subgroup growth, homology of coverings and simplicial volume. Zbl 0913.20017
Reznikov, Alexander; Moree, Pieter
1997
On a conjecture of Rodier on primitive roots. Zbl 0888.11035
Moree, P.
1997
A generalization of the Buchstab equation. Zbl 0942.11042
Moree, Pieter
1997
Diophantine equations of Erdös-Moser type. Zbl 0851.11020
Moree, Pieter
1996
Dickson polynomial discriminators. Zbl 0858.11057
Moree, Pieter; Mullen, Gary L.
1996
The incongruence of consecutive values of polynomials. Zbl 0893.11007
Moree, Pieter
1996
On the prime density of Lucas sequences. Zbl 0873.11058
Moree, Pieter
1996
On arithmetic progressions having only few different prime factors in comparison with their length. Zbl 0821.11044
Moree, Pieter
1995
A special value of Dickman’s function. Zbl 1194.11106
Moree, Pieter
1995
On a theorem of Carlitz-Von Staudt. Zbl 0820.11002
Moree, Pieter
1994
Divisibility properties of integers $$x,k$$ satisfying $$1^ k+\cdots +(x- 1)^ k=x^ k$$. Zbl 0816.11024
Moree, P.; te Riele, Herman J. J.; Urbanowicz, J.
1994
Psixyology and diophantine equations. Zbl 0784.11046
Moree, Pieter
1993
Bertrand’s postulate for primes in arithmetical progressions. Zbl 0789.11001
Moree, P.
1993
On the number of $$y$$-smooth natural numbers $$\leq x$$ representable as a sum of two integer squares. Zbl 0791.11046
Moree, Pieter
1993
A note on Artin’s conjecture. Zbl 0809.11057
Moree, Pieter
1993
An interval result for the number field $$\psi{}(x,y)$$ function. Zbl 0772.11044
Moree, Pieter
1992
Some Ramanujan-Nagell equations with many solutions. Zbl 0718.11011
Moree, P.; Stewart, C. L.
1990
all top 5

#### Cited by 365 Authors

 53 Moree, Pieter 14 Solé, Patrick 8 Shi, Minjia 6 Grau, José María 6 Jitman, Somphong 6 Luca, Florian 6 Oller-Marcén, Antonio M. 6 Shparlinski, Igor E. 5 Languasco, Alessandro 5 Perucca, Antonella 5 Pollack, Paul 5 Saad Eddin, Sumaia 4 Akbary, Amir 4 Alahmadi, Adel N. 4 Diblík, Josef 4 Gallot, Yves 4 García Sánchez, Pedro A. 4 Holden, Joshua Brandon 4 Qian, Liqin 4 Ramírez, José Luis 4 Stevenhagen, Peter 3 Boripan, Arunwan 3 Bzdęga, Bartłomiej 3 Ciolan, Alexandru 3 Hong, Hoon 3 Ji, Chungang 3 Lee, Eunjeong 3 Pappalardi, Francesco 3 Sondow, Jonathan D. 3 Tenenbaum, Gérald 3 Tóth, László 3 Zhu, Hongwei 2 Bamunoba, Alex Samuel 2 Banks, William D. 2 Baoulina, Ioulia N. 2 Bordignon, Matteo 2 Borello, Martino 2 Breuer, Florian 2 Drappeau, Sary 2 Engberg, Zebediah 2 Felix, Adam Tyler 2 Gras, Georges 2 Guenda, Kenza 2 Güneri, Cem 2 Huang, Daitao 2 Lee, Hyangsook 2 Lubotzky, Alexander 2 MacMillan, Kieren 2 Martin, Bruno 2 Martin, Greg 2 Martirosyan, Lilit 2 Medina, Rigoberto 2 Murty, Maruti Ram 2 O’Neill, Christopher 2 Osburn, Robert 2 Park, Cheol Min 2 Pehlivan, Cihan 2 Platt, David John 2 Ponomarenko, Vadim 2 Ramaré, Olivier 2 Robinson, Margaret M. 2 Roskam, Hans 2 Sedunova, Alisa 2 Sgobba, Pietro 2 Sha, Min 2 Shoaib, Hatoon 2 Shorey, Tarlok Nath 2 Sok, Lin 2 Stewart, Cameron L. 2 Sury, Balasubramanian 2 Susa, Andrea 2 Suzuki, Yuta 2 Udomkavanich, Patanee 2 Wood, Philip Matchett 2 Zaccagnini, Alessandro 2 Zagier, Don Bernard 2 Zaharescu, Alexandru 2 Zaidenberg, Mikhail G. 2 Zumalacárregui, Ana 1 Al-Kateeb, Alaa 1 Alekseyev, Max A. 1 Aletheia-Zomlefer, Soren Laing 1 Ambrosino, Mary 1 Arms, Scott 1 Arnold, Andrew 1 Asinowski, Andrei 1 Assi, Abdallah 1 Asveld, Peter R. J. 1 Autry, Jackson 1 Axler, Christian 1 Baake, Michael 1 Baker, Roger C. 1 Balaji, Vajresh 1 Ball, Keith Martin 1 Ballot, Christian 1 Bardomero, Leonardo 1 Basu, Saugata 1 Batoul, Aicha 1 Beauregard, Raymond A. 1 Beck, Matthias ...and 265 more Authors
all top 5

#### Cited in 103 Serials

 40 Journal of Number Theory 17 International Journal of Number Theory 16 Mathematics of Computation 10 Journal de Théorie des Nombres de Bordeaux 10 Finite Fields and their Applications 8 Bulletin of the Australian Mathematical Society 8 Acta Arithmetica 8 Designs, Codes and Cryptography 7 Integers 6 Proceedings of the American Mathematical Society 5 American Mathematical Monthly 5 Indagationes Mathematicae. New Series 4 Discrete Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Applied Mathematics and Computation 4 Experimental Mathematics 3 Discrete Applied Mathematics 3 Manuscripta Mathematica 3 Monatshefte für Mathematik 3 Transactions of the American Mathematical Society 3 Linear Algebra and its Applications 3 The Ramanujan Journal 3 Cryptography and Communications 2 Journal of Mathematical Analysis and Applications 2 Mathematics Magazine 2 Archiv der Mathematik 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Mathematika 2 Advances in Applied Mathematics 2 SIAM Journal on Discrete Mathematics 2 International Journal of Algebra and Computation 2 International Journal of Foundations of Computer Science 2 Journal of Integer Sequences 2 Advances in Mathematics of Communications 2 Discrete Mathematics, Algorithms and Applications 2 Research in Number Theory 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 Algebra and Logic 1 Colloquium Mathematicum 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Semigroup Forum 1 Ergodic Theory and Dynamical Systems 1 Acta Applicandae Mathematicae 1 Discrete & Computational Geometry 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Computational Geometry 1 Elemente der Mathematik 1 L’Enseignement Mathématique. 2e Série 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Algebraic Combinatorics 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) 1 The New York Journal of Mathematics 1 Journal of Combinatorial Designs 1 Selecta Mathematica. New Series 1 Electronic Research Announcements of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Geometry & Topology 1 LMS Journal of Computation and Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 European Journal of Pure and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Involve 1 ACM Communications in Computer Algebra 1 Journal of Commutative Algebra 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Moscow Journal of Combinatorics and Number Theory 1 Annales Mathématiques du Québec 1 ISRN Combinatorics 1 Research in the Mathematical Sciences ...and 3 more Serials
all top 5

#### Cited in 34 Fields

 231 Number theory (11-XX) 35 Information and communication theory, circuits (94-XX) 24 Combinatorics (05-XX) 17 Group theory and generalizations (20-XX) 8 Commutative algebra (13-XX) 8 Algebraic geometry (14-XX) 7 Probability theory and stochastic processes (60-XX) 6 History and biography (01-XX) 6 Ordinary differential equations (34-XX) 5 Field theory and polynomials (12-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Associative rings and algebras (16-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 1 Mathematical logic and foundations (03-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

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