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Borwein, Peter Benjamin (b. 1953 d. 2020)

Author ID: borwein.peter-benjamin Recent zbMATH articles by "Borwein, Peter Benjamin"
Published as: Borwein, Peter; Borwein, Peter B.; Borwein, P. B.; Borwein, P.; Borwein, Peter Benjamin
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Co-Authors

44 single-authored
39 Borwein, Jonathan Michael
36 Erdélyi, Tamás
10 Mossinghoff, Michael J.
9 Choi, Kwok-Kwong Stephen
8 Choi, Stephen Kwok-Kwong
7 Ferguson, Ron
6 Bailey, David Harold
4 Hare, Kevin G.
4 Pinner, Christopher G.
4 Zhou, Ping
3 Berggren, John Lennart
3 Boyd, David William
3 Coons, Michael
3 Corless, Robert Malcolm
3 Garvan, Frank G.
3 Girgensohn, Roland
3 Jankauskas, Jonas
3 Jörgenson, Loki
3 Saff, Edward Barry
2 Beaucoup, Franck
2 Borwein, David
2 Chen, Weiyu
2 Dilcher, Karl
2 Ferguson, R. A.
2 Kós, Géza
2 Lockhart, Richard A.
2 Parnes, Sheldon
2 Plouffe, Simon
2 Pritsker, Igor E.
2 Shekhtman, Boris
2 van der Waall, Alexa
2 Zhang, John Z. H.
2 Zhou, Songping
1 Alimadad, Azadeh
1 Aragón Artacho, Francisco Javier
1 Baishanski, Bogdan M.
1 Bauschke, Heinz H.
1 Bell, Jason P.
1 Belshaw, Adrian
1 Borwein, Alex
1 Cheney, Elliott Ward jun.
1 Chu, Frank Pok Man
1
1 Cuyt, Annie A. M.
1 Dabbaghian, Vahid
1 Dickmeis, Werner
1 Dobrowolski, Edward
1 Drakes, Chiaka
1 Dykshoorn, Willem
1 Fee, Greg J.
1 Ganguli, Himadri
1 Ghaseminejad, Amir H.
1 Gonska, Heinz Herbert
1 Gusev, Yuri V.
1 Hare, Warren L.
1 Hobart, Joe
1 Ingalls, Colin
1 Jakimovski, Amnon
1 Jedwab, Jonathan
1 Jeffrey, David J.
1 Kaltofen, Erich L.
1 Kalugin, German A.
1 Knauer, Joshua
1 Kroó, András
1 Lewis, Adrian S.
1 Li, Jenny X.
1 Liljedahl, Peter
1 Lisoněk, Petr
1 Littmann, Friedrich
1 Loring, Terry A.
1 Martin, Greg
1 Mercer, Idris David
1 Mitrović-Minić, Snežana
1 Moser, William Oscar Jules
1 Nessel, Rolf Joachim
1 Peetre, Jaak
1 Percival, Colin
1 Rakhmanov, Evgenij Andreevich
1 Richmond, L. Bruce
1 Rooney, Brendan
1 Rutherford, Alexander R.
1 Samuels, Charles L.
1 Schoenberg, Isaac Jacob
1 Sinclair, Nathalie
1 Stenger, Frank
1 Théra, Michel A.
1 Vaaler, Jeffrey D.
1 van Wickeren, Erich
1 Vanderwerff, Jon D.
1 Vásárhelyi, Krisztina
1 Vertesi, Les
1 Vértesi, Péter
1 Weirathmueller, Andrea
1 Wolkowicz, Henry
1 Yazdani, Soroosh
1 Zhai, Helen
all top 5

Serials

18 Proceedings of the American Mathematical Society
14 Mathematics of Computation
14 Journal of Approximation Theory
12 Constructive Approximation
8 American Mathematical Monthly
8 Canadian Journal of Mathematics
8 Transactions of the American Mathematical Society
6 Canadian Mathematical Bulletin
5 Journal of Mathematical Analysis and Applications
5 Journal of the London Mathematical Society. Second Series
3 The Mathematical Intelligencer
3 Acta Arithmetica
3 Journal of Combinatorial Theory. Series A
3 Journal of Number Theory
3 Experimental Mathematics
2 IEEE Transactions on Information Theory
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 BIT
2 Bulletin of the London Mathematical Society
2 Mathematika
2 Pacific Journal of Mathematics
2 SIAM Review
2 Annals of Mathematics. Second Series
2 Canadian Mathematical Society Series of Monographs and Advanced Texts
2 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC
1 Israel Journal of Mathematics
1 Rocky Mountain Journal of Mathematics
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 The Journal of the Indian Mathematical Society. New Series
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematica Scandinavica
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Journal of Algorithms
1 Acta Mathematica Hungarica
1 Journal of the American Mathematical Society
1 Aequationes Mathematicae
1 Communications in Statistics. Theory and Methods
1 L’Enseignement Mathématique. 2e Série
1 Pokroky Matematiky, Fyziky & Astronomie
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 Advances in Computational Mathematics
1 Integral Transforms and Special Functions
1 The Ramanujan Journal
1 LMS Journal of Computation and Mathematics
1 Nieuw Archief voor Wiskunde. Vijfde Serie
1 JP Journal of Algebra, Number Theory and Applications
1 International Journal of Number Theory
1 CMS Conference Proceedings
1 ACM Communications in Computer Algebra
1 Springer Proceedings in Mathematics & Statistics
1 MAA Spectrum

Publications by Year

Citations contained in zbMATH Open

171 Publications have been cited 2,854 times in 1,960 Documents Cited by Year
Polynomials and polynomial inequalities. Zbl 0840.26002
Borwein, Peter; Erdélyi, Tamás
451
1995
Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0611.10001
Borwein, Jonathan M.; Borwein, Peter B.
314
1987
A cubic counterpart of Jacobi’s identity and the AGM. Zbl 0725.33014
Borwein, J. M.; Borwein, P. B.
106
1991
Computational excursions in analysis and number theory. Zbl 1020.12001
Borwein, Peter
92
2002
Ramanujan’s rational and algebraic series for \(1/\pi\). Zbl 0699.10044
Borwein, J. M.; Borwein, P. B.
89
1987
On the rapid computation of various polylogarithmic constants. Zbl 0879.11073
Bailey, David; Borwein, Peter; Plouffe, Simon
70
1997
Some cubic modular identities of Ramanujan. Zbl 0799.33012
Borwein, J. M.; Borwein, P. B.; Garvan, F. G.
68
1994
Müntz systems and orthogonal Müntz-Legendre polynomials. Zbl 0799.41015
Borwein, Peter; Erdélyi, Tamás; Zhang, John
56
1994
Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0903.11001
Borwein, Jonathan M.; Borwein, Peter B.
56
1998
Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi. Zbl 0672.10017
Borwein, J. M.; Borwein, P. B.; Bailey, D. H.
40
1989
A survey of Sylvester’s problem and its generalizations. Zbl 0717.52013
Borwein, P.; Moser, W. O. J.
38
1990
Littlewood-type problems on \([0,1]\). Zbl 1039.11046
Borwein, Peter; Erdélyi, Tamás; Kós, Géza
36
1999
The Prouhet-Tarry-Escott problem revisited. Zbl 0810.11016
Borwein, Peter; Ingalls, Colin
35
1994
The arithmetic-geometric mean and fast computation of elementary functions. Zbl 0557.65009
Borwein, J. M.; Borwein, P. B.
34
1984
The integer Chebyshev problem. Zbl 0859.11044
Borwein, Peter; Erdélyi, Tamás
31
1996
Sharp extensions of Bernstein’s inequality to rational spaces. Zbl 0869.41010
Borwein, Peter; Erdélyi, Tamás
30
1996
Lehmer’s problem for polynomials with odd coefficients. Zbl 1172.11034
Borwein, Peter; Dobrowolski, Edward; Mossinghoff, Michael J.
30
2007
The full Müntz theorem in \(C[0,1]\) and \(L_ 1[0,1]\). Zbl 0854.41015
Borwein, Peter; Erdélyi, Tamás
27
1996
On the irrationality of \(\sum (1/(q^ n+r))\). Zbl 0718.11029
Borwein, Peter B.
27
1991
Multiple roots of \([-1,1]\) power series. Zbl 0922.30004
Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher
27
1998
Generalizations of Müntz’s theorem via a Remez-type inequality for Müntz spaces. Zbl 0864.41014
Borwein, Peter; Erdélyi, Tamás
27
1997
On the zeros of polynomials with restricted coefficients. Zbl 0906.30005
Borwein, Peter; Erdélyi, Tamás
26
1997
On the irrationality of certain series. Zbl 0779.11027
Borwein, Peter B.
25
1992
Inequalities for compound mean iterations with logarithmic asymptotes. Zbl 0783.33001
Borwein, Jonathan M.; Borwein, Peter B.
25
1993
The Riemann hypothesis. A resource for the afficionado and virtuoso alike. Zbl 1132.11047
25
2007
More Ramanujan-type series for 1/\(\pi\). Zbl 0652.10019
Borwein, J. M.; Borwein, P. B.
21
1988
Polynomials with coefficients from a finite set. Zbl 1158.30002
Borwein, Peter; Erdélyi, Tamás; Littmann, Friedrich
21
2008
A complete description of Golay pairs for lengths up to 100. Zbl 1052.11019
Borwein, P. B.; Ferguson, R. A.
21
2004
Chebyshev polynomials and Markov-Bernstein type inequalities for rational spaces. Zbl 0815.41013
Borwein, Peter; Erdélyi, Tamás; Zhang, John
20
1994
The quest for pi. Zbl 0878.11002
Bailey, D. H.; Borwein, J. M.; Borwein, P. B.; Plouffe, S.
19
1997
Class number three Ramanujan type series for \(1/\pi\). Zbl 0818.65010
Borwein, J. M.; Borwein, P. B.
19
1993
The expected \(L_{p}\) norm of random polynomials. Zbl 0999.30004
Borwein, Peter; Lockhart, Richard
19
2001
Some computations on the spectra of Pisot and Salem numbers. Zbl 1037.11065
Borwein, Peter; Hare, Kevin G.
19
2002
Making sense of experimental mathematics. Zbl 0874.00027
Borwein, J.; Borwein, P.; Girgensohn, R.; Parnes, S.
18
1996
Pi, Euler numbers, and asymptotic expansions. Zbl 0711.11009
Borwein, J. M.; Borwein, P. B.; Dilcher, K.
18
1989
Padé approximants for the q-elementary functions. Zbl 0685.41015
Borwein, Peter B.
18
1988
An efficient algorithm for the Riemann zeta function. Zbl 0984.11067
Borwein, P.
18
2000
Completely multiplicative functions taking values in \(\{-1,1\}\). Zbl 1222.11111
Borwein, Peter; Choi, Stephen K. K.; Coons, Michael
18
2010
Pi: a source book. 3rd ed. Zbl 1054.11001
17
2004
On the zeros of cosine polynomials: solution to a problem of Littlewood. Zbl 1186.11045
Borwein, Peter Benjamin; Erdélyi, Tamás; Ferguson, Ron; Lockhart, Richard
17
2008
Littlewood-type problems on subarcs of the unit circle. Zbl 0930.30005
Borwein, Peter; Erdélyi, Tamás
17
1997
Markov’s inequality for polynomials with real zeros. Zbl 0564.26003
Borwein, Peter
16
1985
Pi: a source book. Zbl 0876.11001
16
1997
Sign changes in sums of the Liouville function. Zbl 1198.11090
Borwein, Peter; Ferguson, Ron; Mossinghoff, Michael J.
16
2008
Quadratic Hermite-Padé approximation to the exponential function. Zbl 0625.41012
Borwein, Peter B.
16
1986
On the generating function of the integer part: \([n\alpha{}+ \gamma{}]\). Zbl 0778.11039
Borwein, J. M.; Borwein, P. B.
15
1993
Polynomials with \(\{0,+1,-1\}\) coefficients and a root close to a given point. Zbl 0901.11022
Borwein, Peter; Pinner, Christopher
15
1997
Giuga’s conjecture on primality. Zbl 0860.11003
Borwein, D.; Borwein, J. M.; Borwein, P. B.; Girgensohn, R.
14
1996
Polynomials with height 1 and prescribed vanishing at 1. Zbl 0999.12001
Borwein, Peter; Mossinghoff, Michael J.
14
2000
Zeros of partial sums of the Riemann zeta function. Zbl 1219.11126
Borwein, Peter; Fee, Greg; Ferguson, Ron; van der Waall, Alexa
14
2007
Stieltjes and other integral representations for functions of Lambert W. Zbl 1258.33015
Kalugin, German A.; Jeffrey, David J.; Corless, Robert M.; Borwein, Peter B.
13
2012
Rudin-Shapiro-like polynomials in \(L_4\). Zbl 1042.11046
Borwein, Peter; Mossinghoff, Michael
13
2000
On the complexity of familiar functions and numbers. Zbl 0686.68029
Borwein, J. M.; Borwein, P. B.
12
1988
An old conjecture of Erdős-Turán on additive bases. Zbl 1093.11018
Borwein, Peter; Choi, Stephen; Chu, Frank
12
2006
The arc length of the lemniscate \(\{| p(z)| =1\}\). Zbl 0821.31002
Borwein, Peter
12
1995
Explicit merit factor formulae for Fekete and Turyn polynomials. Zbl 1010.11017
Borwein, Peter; Choi, Kwok-Kwong Stephen
12
2002
A remarkable cubic mean iteration. Zbl 0709.30020
Borwein, J. M.; Borwein, P. B.
11
1990
Incomplete rational approximation in the complex plane. Zbl 0820.41013
Borwein, P. B.; Chen, Weiyu
11
1995
Barker sequences and flat polynomials. Zbl 1266.11051
Borwein, Peter; Mossinghoff, Michael
11
2008
Transcendence of power series for some number theoretic functions. Zbl 1236.11063
Borwein, Peter; Coons, Michael
11
2009
Pi: a source book. 2nd ed. Zbl 1039.11001
11
2000
Growth of the product \(\prod_{j=1}^n (1-x^{a_j})\). Zbl 0918.11054
Bell, J. P.; Borwein, P. B.; Richmond, L. B.
11
1998
On the complexity of calculating factorials. Zbl 0576.68027
Borwein, Peter B.
10
1985
The density of alternation points in rational approximation. Zbl 0688.41018
Borwein, P. B.; Kroó, A.; Grothmann, R.; Saff, E. B.
10
1989
Müntz spaces and Remez inequalities. Zbl 0814.41013
Borwein, Peter; Erdélyi, Tamás
10
1995
Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood. Zbl 1124.41009
Borwein, Peter; Erdélyi, Tamás
10
2007
On cyclotomic polynomials with \(\pm 1\) coefficients. Zbl 0947.11031
Borwein, Peter; Choi, Kwok-Kwong Stephen
10
1999
Visible structures in number theory. Zbl 1160.11300
Borwein, Peter; Jörgenson, Loki
10
2001
Binary sequences with merit factor greater than 6.34. Zbl 1267.94024
Borwein, Peter; Choi, Kwok-Kwong Stephen; Jedwab, Jonathan
9
2004
Monic integer Chebyshev problem. Zbl 1054.11018
Borwein, P. B.; Pinner, C. G.; Pritsker, I. E.
9
2003
Computational investigations of the Prouhet-Tarry-Escott problem. Zbl 1026.11094
Borwein, Peter; Lisoněk, Petr; Percival, Colin
9
2003
Newman’s inequality for Müntz polynomials on positive intervals. Zbl 0853.41008
Borwein, Peter; Erdélyi, Tamás
8
1996
Zeros of Chebyshev polynomials in Markov systems. Zbl 0733.41012
Borwein, Peter
8
1990
Strange series and high precision fraud. Zbl 0762.40003
Borwein, J. M.; Borwein, P. B.
8
1992
Nikolskii-type inequalities for shift invariant function spaces. Zbl 1113.41017
Borwein, Peter; Erdélyi, Tamás
8
2006
The Mahler measure of polynomials with odd coefficients. Zbl 1143.11349
Borwein, Peter; Hare, Kevin G.; Mossinghoff, Michael J.
8
2004
Markov-Bernstein-type inequalities for classes of polynomials with restricted zeros. Zbl 0816.41012
Borwein, Peter; Erdélyi, Tamás
8
1994
Exact inequalities for the norms of factors of polynomials. Zbl 0820.30006
Borwein, Peter B.
8
1994
Power series with restricted coefficients and a root on a given ray. Zbl 0889.30006
Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher
8
1998
A sharp Bernstein-type inequality for exponential sums. Zbl 0851.41011
Borwein, Peter; Erdélyi, Tamás
8
1996
On Littlewood polynomials with prescribed number of zeros inside the unit disk. Zbl 1320.11097
Borwein, Peter; Choi, Stephen; Ferguson, Ron; Jankauskas, Jonas
8
2015
Wieferich pairs and Barker sequences. II. Zbl 1355.11018
Borwein, Peter; Mossinghoff, Michael J.
8
2014
Markov- and Bernstein-type inequalities for polynomials with restricted coefficients. Zbl 0902.41012
Borwein, Peter; Erdélyi, Tamás
8
1997
An interesting infinite product. Zbl 0793.40006
Borwein, Peter; Dykshoorn, Willem
7
1993
The \(L_ p\) version of Newman’s inequality for lacunary polynomials. Zbl 0840.41008
Borwein, Peter; Erdélyi, Tamás
7
1996
The multiplicity of the zero at 1 of polynomials with constrained coefficients. Zbl 1284.11054
Borwein, Peter; Erdélyi, Tamás; Kós, Géza
7
2013
The way of all means. Zbl 0628.26003
Borwein, J. M.; Borwein, P. B.
7
1987
Walking on real numbers. Zbl 1282.11088
Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B.
7
2013
Merit factors of character polynomials. Zbl 1011.11059
Borwein, Peter; Choi, Kwok-Kwong Stephen
7
2000
Merit factors of polynomials formed by Jacobi symbols. Zbl 0964.11020
Borwein, Peter; Choi, Kwok-Kwong Stephen
7
2001
General forms for minimal spectral values for a class of quadratic Pisot numbers. Zbl 1094.11038
Borwein, Peter; Hare, Kevin G.
7
2003
Variations on Müntz’s theme. Zbl 0758.41027
Borwein, Peter B.
6
1991
Markov’s and Bernstein’s inequalities on disjoint intervals. Zbl 0458.41011
Borwein, Peter B.
6
1981
The multivariate integer Chebyshev problem. Zbl 1246.11075
Borwein, P. B.; Pritsker, I. E.
6
2009
Notes on lacunary Müntz polynomials. Zbl 0762.41009
Borwein, Peter; Erdély, Tamás
6
1991
The average norm of polynomials of fixed height. Zbl 1198.11030
Borwein, Peter; Choi, Kwok-Kwong Stephen
6
2007
Lacunary Müntz systems. Zbl 0790.41019
Borwein, Peter; Erdélyi, Tamás
6
1993
Rational approximation with varying weights I. Zbl 0870.41010
Borwein, P.; Rakhmanov, E. A.; Saff, E. B.
6
1996
Trigonometric polynomials with many real zeros and a Littlewood-type problem. Zbl 0968.41008
Borwein, Peter; Erdélyi, Tamás
6
2001
Pointwise Remez- and Nikolskii-type inequalities for exponential sums. Zbl 0949.41006
Borwein, Peter; Erdélyi, Tamás
6
2000
On Littlewood polynomials with prescribed number of zeros inside the unit disk. Zbl 1320.11097
Borwein, Peter; Choi, Stephen; Ferguson, Ron; Jankauskas, Jonas
8
2015
Wieferich pairs and Barker sequences. II. Zbl 1355.11018
Borwein, Peter; Mossinghoff, Michael J.
8
2014
The multiplicity of the zero at 1 of polynomials with constrained coefficients. Zbl 1284.11054
Borwein, Peter; Erdélyi, Tamás; Kós, Géza
7
2013
Walking on real numbers. Zbl 1282.11088
Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B.
7
2013
Sign changes of the Liouville function on quadratics. Zbl 1310.11100
Borwein, Peter; Choi, Stephen K. K.; Ganguli, Himadri
5
2013
Champernowne’s number, strong normality, and the X chromosome. Zbl 1283.11108
Belshaw, Adrian; Borwein, Peter
4
2013
Extremal Mahler measures and \(L_s\) norms of polynomials related to Barker sequences. Zbl 1272.11041
Borwein, Peter; Choi, Stephen; Jankauskas, Jonas
4
2013
A note on Barker polynomials. Zbl 1333.11030
Borwein, Peter; Erdélyi, Tamás
2
2013
Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. Zbl 1276.00018
1
2013
Stieltjes and other integral representations for functions of Lambert W. Zbl 1258.33015
Kalugin, German A.; Jeffrey, David J.; Corless, Robert M.; Borwein, Peter B.
13
2012
On a class of polynomials related to Barker sequences. Zbl 1329.11022
Borwein, Peter; Choi, Stephen; Jankauskas, Jonas
2
2012
The extraordinary power of division in straight line programs. Zbl 1271.11118
Borwein, Peter; Hobart, Joe
1
2012
Completely multiplicative functions taking values in \(\{-1,1\}\). Zbl 1222.11111
Borwein, Peter; Choi, Stephen K. K.; Coons, Michael
18
2010
Experimental and computational mathematics: selected writings. Zbl 1225.01096
Borwein, Jonathan; Borwein, Peter
2
2010
Transcendence of power series for some number theoretic functions. Zbl 1236.11063
Borwein, Peter; Coons, Michael
11
2009
The multivariate integer Chebyshev problem. Zbl 1246.11075
Borwein, P. B.; Pritsker, I. E.
6
2009
Polynomials with coefficients from a finite set. Zbl 1158.30002
Borwein, Peter; Erdélyi, Tamás; Littmann, Friedrich
21
2008
On the zeros of cosine polynomials: solution to a problem of Littlewood. Zbl 1186.11045
Borwein, Peter Benjamin; Erdélyi, Tamás; Ferguson, Ron; Lockhart, Richard
17
2008
Sign changes in sums of the Liouville function. Zbl 1198.11090
Borwein, Peter; Ferguson, Ron; Mossinghoff, Michael J.
16
2008
Barker sequences and flat polynomials. Zbl 1266.11051
Borwein, Peter; Mossinghoff, Michael
11
2008
Expected norms of zero-one polynomials. Zbl 1173.11015
Borwein, Peter; Choi, Kwok-Kwong Stephen; Mercer, Idris
3
2008
The merit factor problem. Zbl 1266.11050
Borwein, Peter; Ferguson, Ron; Knauer, Joshua
2
2008
Lehmer’s problem for polynomials with odd coefficients. Zbl 1172.11034
Borwein, Peter; Dobrowolski, Edward; Mossinghoff, Michael J.
30
2007
The Riemann hypothesis. A resource for the afficionado and virtuoso alike. Zbl 1132.11047
25
2007
Zeros of partial sums of the Riemann zeta function. Zbl 1219.11126
Borwein, Peter; Fee, Greg; Ferguson, Ron; van der Waall, Alexa
14
2007
Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood. Zbl 1124.41009
Borwein, Peter; Erdélyi, Tamás
10
2007
The average norm of polynomials of fixed height. Zbl 1198.11030
Borwein, Peter; Choi, Kwok-Kwong Stephen
6
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
An old conjecture of Erdős-Turán on additive bases. Zbl 1093.11018
Borwein, Peter; Choi, Stephen; Chu, Frank
12
2006
Nikolskii-type inequalities for shift invariant function spaces. Zbl 1113.41017
Borwein, Peter; Erdélyi, Tamás
8
2006
Norms of cyclotomic Littlewood polynomials. Zbl 1080.11020
Borwein, Peter; Choi, Stephen Kwok-Kwong; Ferguson, Ron
5
2005
Explicit construction of general multivariate Padé approximants to an Appell function. Zbl 1085.41010
Borwein, P. B.; Cuyt, A.; Zhou, P.
2
2005
Polyphase sequences with low autocorrelation. Zbl 1267.94023
Borwein, Peter B.; Ferguson, R. A.
2
2005
A complete description of Golay pairs for lengths up to 100. Zbl 1052.11019
Borwein, P. B.; Ferguson, R. A.
21
2004
Pi: a source book. 3rd ed. Zbl 1054.11001
17
2004
Binary sequences with merit factor greater than 6.34. Zbl 1267.94024
Borwein, Peter; Choi, Kwok-Kwong Stephen; Jedwab, Jonathan
9
2004
The Mahler measure of polynomials with odd coefficients. Zbl 1143.11349
Borwein, Peter; Hare, Kevin G.; Mossinghoff, Michael J.
8
2004
Monic integer Chebyshev problem. Zbl 1054.11018
Borwein, P. B.; Pinner, C. G.; Pritsker, I. E.
9
2003
Computational investigations of the Prouhet-Tarry-Escott problem. Zbl 1026.11094
Borwein, Peter; Lisoněk, Petr; Percival, Colin
9
2003
General forms for minimal spectral values for a class of quadratic Pisot numbers. Zbl 1094.11038
Borwein, Peter; Hare, Kevin G.
7
2003
Newman polynomials with prescribed vanishing and integer sets with distinct subset sums. Zbl 1023.11008
Borwein, Peter; Mossinghoff, Michael J.
6
2003
Lower bounds for the merit factors of trigonometric polynomials from Littlewood classes. Zbl 1038.42002
Borwein, Peter; Erdélyi, Tamás
2
2003
Non-trivial quadratic approximations to zero of a family of cubic Pisot numbers. Zbl 1083.11044
Borwein, Peter; Hare, Kevin G.
1
2003
Computational excursions in analysis and number theory. Zbl 1020.12001
Borwein, Peter
92
2002
Some computations on the spectra of Pisot and Salem numbers. Zbl 1037.11065
Borwein, Peter; Hare, Kevin G.
19
2002
Explicit merit factor formulae for Fekete and Turyn polynomials. Zbl 1010.11017
Borwein, Peter; Choi, Kwok-Kwong Stephen
12
2002
Paul Erdős and polynomials. Zbl 1031.11011
Borwein, P.
2
2002
The expected \(L_{p}\) norm of random polynomials. Zbl 0999.30004
Borwein, Peter; Lockhart, Richard
19
2001
Visible structures in number theory. Zbl 1160.11300
Borwein, Peter; Jörgenson, Loki
10
2001
Merit factors of polynomials formed by Jacobi symbols. Zbl 0964.11020
Borwein, Peter; Choi, Kwok-Kwong Stephen
7
2001
Trigonometric polynomials with many real zeros and a Littlewood-type problem. Zbl 0968.41008
Borwein, Peter; Erdélyi, Tamás
6
2001
An extremal property of Fekete polynomials. Zbl 0987.11010
Borwein, Peter; Choi, Kwok-Kwong Stephen; Yazdani, Soroosh
5
2001
An efficient algorithm for the Riemann zeta function. Zbl 0984.11067
Borwein, P.
18
2000
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
13
2000
Pi: a source book. 2nd ed. Zbl 1039.11001
11
2000
Merit factors of character polynomials. Zbl 1011.11059
Borwein, Peter; Choi, Kwok-Kwong Stephen
7
2000
Pointwise Remez- and Nikolskii-type inequalities for exponential sums. Zbl 0949.41006
Borwein, Peter; Erdélyi, Tamás
6
2000
Markov-Bernstein type inequalities under Littlewood-type coefficient constraints. Zbl 1011.26010
Borwein, Peter; Erdélyi, Tamás
4
2000
The amazing number \(\pi\). Zbl 1173.01300
Borwein, Peter
2
2000
Littlewood-type problems on \([0,1]\). Zbl 1039.11046
Borwein, Peter; Erdélyi, Tamás; Kós, Géza
36
1999
On cyclotomic polynomials with \(\pm 1\) coefficients. Zbl 0947.11031
Borwein, Peter; Choi, Kwok-Kwong Stephen
10
1999
On the irrationality of a certain \(q\) series. Zbl 0926.11051
Borwein, Peter B.; Zhou, Ping
3
1999
Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0903.11001
Borwein, Jonathan M.; Borwein, Peter B.
56
1998
Multiple roots of \([-1,1]\) power series. Zbl 0922.30004
Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher
27
1998
Growth of the product \(\prod_{j=1}^n (1-x^{a_j})\). Zbl 0918.11054
Bell, J. P.; Borwein, P. B.; Richmond, L. B.
11
1998
Power series with restricted coefficients and a root on a given ray. Zbl 0889.30006
Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher
8
1998
Müntz’s theorem on compact subsets of positive measure. Zbl 0901.41005
Borwein, Peter; Erdélyi, Tamás
5
1998
Some old problems on polynomials with integer coefficients. Zbl 0930.12001
Borwein, Peter
3
1998
A Remez-type inequality for non-dense Müntz spaces with explicit bound. Zbl 0904.41006
Borwein, Peter; Erdélyi, Tamás
2
1998
On the rapid computation of various polylogarithmic constants. Zbl 0879.11073
Bailey, David; Borwein, Peter; Plouffe, Simon
70
1997
Generalizations of Müntz’s theorem via a Remez-type inequality for Müntz spaces. Zbl 0864.41014
Borwein, Peter; Erdélyi, Tamás
27
1997
On the zeros of polynomials with restricted coefficients. Zbl 0906.30005
Borwein, Peter; Erdélyi, Tamás
26
1997
The quest for pi. Zbl 0878.11002
Bailey, D. H.; Borwein, J. M.; Borwein, P. B.; Plouffe, S.
19
1997
Littlewood-type problems on subarcs of the unit circle. Zbl 0930.30005
Borwein, Peter; Erdélyi, Tamás
17
1997
Pi: a source book. Zbl 0876.11001
16
1997
Polynomials with \(\{0,+1,-1\}\) coefficients and a root close to a given point. Zbl 0901.11022
Borwein, Peter; Pinner, Christopher
15
1997
Markov- and Bernstein-type inequalities for polynomials with restricted coefficients. Zbl 0902.41012
Borwein, Peter; Erdélyi, Tamás
8
1997
What is organic mathematics? Zbl 1053.00506
Borwein, Jonathan M.; Borwein, Peter B.; Corless, Robert M.; Jörgenson, Loki; Sinclair, Nathalie
3
1997
The integer Chebyshev problem. Zbl 0859.11044
Borwein, Peter; Erdélyi, Tamás
31
1996
Sharp extensions of Bernstein’s inequality to rational spaces. Zbl 0869.41010
Borwein, Peter; Erdélyi, Tamás
30
1996
The full Müntz theorem in \(C[0,1]\) and \(L_ 1[0,1]\). Zbl 0854.41015
Borwein, Peter; Erdélyi, Tamás
27
1996
Making sense of experimental mathematics. Zbl 0874.00027
Borwein, J.; Borwein, P.; Girgensohn, R.; Parnes, S.
18
1996
Giuga’s conjecture on primality. Zbl 0860.11003
Borwein, D.; Borwein, J. M.; Borwein, P. B.; Girgensohn, R.
14
1996
Newman’s inequality for Müntz polynomials on positive intervals. Zbl 0853.41008
Borwein, Peter; Erdélyi, Tamás
8
1996
A sharp Bernstein-type inequality for exponential sums. Zbl 0851.41011
Borwein, Peter; Erdélyi, Tamás
8
1996
The \(L_ p\) version of Newman’s inequality for lacunary polynomials. Zbl 0840.41008
Borwein, Peter; Erdélyi, Tamás
7
1996
Rational approximation with varying weights I. Zbl 0870.41010
Borwein, P.; Rakhmanov, E. A.; Saff, E. B.
6
1996
Questions about polynomials with \(\{ 0,-1,+1\}\) coefficients: Research problems 96-3. Zbl 0877.41013
Borwein, Peter; Erdélyi, Tamás
4
1996
Polynomials and polynomial inequalities. Zbl 0840.26002
Borwein, Peter; Erdélyi, Tamás
451
1995
The arc length of the lemniscate \(\{| p(z)| =1\}\). Zbl 0821.31002
Borwein, Peter
12
1995
Incomplete rational approximation in the complex plane. Zbl 0820.41013
Borwein, P. B.; Chen, Weiyu
11
1995
Müntz spaces and Remez inequalities. Zbl 0814.41013
Borwein, Peter; Erdélyi, Tamás
10
1995
Markov and Bernstein type inequalities in \(L_ p\) for classes of polynomials with constraints. Zbl 0826.41017
Borwein, Peter; Erdélyi, Tamás
5
1995
Upper bounds for the derivative of exponential sums. Zbl 0829.41013
Borwein, Peter; Erdélyi, Tamás
5
1995
Zeros of iterated integrals of polynomials. Zbl 0843.30007
Borwein, Peter B.; Chen, Weiyu; Dilcher, Karl
3
1995
Dense Markov spaces and unbounded Bernstein inequalities. Zbl 0865.41015
Borwein, Peter; Erdélyi, Tamás
3
1995
Some cubic modular identities of Ramanujan. Zbl 0799.33012
Borwein, J. M.; Borwein, P. B.; Garvan, F. G.
68
1994
Müntz systems and orthogonal Müntz-Legendre polynomials. Zbl 0799.41015
Borwein, Peter; Erdélyi, Tamás; Zhang, John
56
1994
...and 71 more Documents
all top 5

Cited by 2,085 Authors

63 Erdélyi, Tamás
54 Borwein, Peter Benjamin
48 Chu, Yuming
30 Borwein, Jonathan Michael
25 Wang, Miaokun
23 Bailey, David Harold
22 Lubinsky, Doron S.
22 Pritsker, Igor E.
18 Kroó, András
18 Zhao, Tiehong
17 Chan, Heng Huat
17 Chu, Wenchang
16 Qiu, Songliang
15 Mossinghoff, Michael J.
15 Yang, Zhenhang
15 Zudilin, Wadim
13 Guillera, Jesús
13 Xu, Ce
12 Chen, Chaoping
12 Hare, Kevin G.
12 Matkowski, Janusz
11 Neuman, Edward
11 Samuels, Charles L.
11 Vuorinen, Matti Keijo Kustaa
10 Cooper, Shaun
10 Qian, Weimao
10 Saff, Edward Barry
10 Zhang, Xiaohui
9 Coons, Michael
9 Kalmykov, Sergeĭ Ivanovich
9 Ma, Xiaoyan
9 Moll, Victor Hugo
8 Andrievskii, Vladimir V.
8 Crandall, Richard E.
8 Dubickas, Artūras
8 Pinner, Christopher G.
8 Richards, Kendall C.
8 Wu, Qiang
8 Zhou, Ping
7 Ait-Haddou, Rachid
7 Alzer, Horst
7 Campbell, John Maxwell
7 Choi, Kwok-Kwong Stephen
7 Driver, Kathy A.
7 Hančl, Jaroslav
7 Jankauskas, Jonas
7 Ma, Shaojuan
7 Mir, Abdullah
7 Pasteczka, Paweł
7 Révész, Szilárd György
7 Tian, Jingfeng
7 Wan, James Gu Feng
7 Wang, Liuquan
7 Wielonsky, Franck
7 Ye, Dongxi
6 Anderson, Glen Douglas
6 Berndt, Bruce Carl
6 Corless, Robert Malcolm
6 Duverney, Daniel
6 Dvir, Zeev
6 Ganzburg, Michael Iosifovich
6 Guo, Victor J. W.
6 Huber, Tim
6 Kofanov, V. A.
6 Kotsireas, Ilias S.
6 Lefèvre, Pascal
6 Li, Xin
6 Mazure, Marie-Laurence
6 Panzone, Pablo Andrés
6 Pijeira-Cabrera, Héctor
6 Rhin, Georges
6 Schmidt, Kai-Uwe
6 Shen, Lichien
6 Song, Yingqing
6 Srivastava, Hari Mohan
6 Totik, Vilmos
6 Trudgian, Timothy S.
6 Tu, Fang-Ting
6 Vamanamurthy, Mavina Krishna
6 Van Assche, Walter
5 Adell, José Antonio
5 Agarwal, Ravi P.
5 Alam, Ihab Al
5 Allouche, Jean-Paul Simon
5 Baranov, Anton D.
5 Barnard, Roger W.
5 Baruah, Nayandeep Deka
5 Berenhaut, Kenneth S.
5 Chen, Yonggao
5 Chu, Hong-Hu
5 Chua, Kok Seng
5 Deng, Guantie
5 Đoković, Dragomir Ž.
5 Flammang, Valérie
5 Grau, José María
5 Hajdu, Lajos
5 Huang, TiRen
5 Jiang, Yueping
5 Joyce, G. S.
5 Klurman, Oleksiy
...and 1,985 more Authors
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Cited in 399 Serials

126 Journal of Approximation Theory
102 Journal of Mathematical Analysis and Applications
84 The Ramanujan Journal
69 Journal of Number Theory
61 Mathematics of Computation
50 Proceedings of the American Mathematical Society
38 Journal of Computational and Applied Mathematics
38 Transactions of the American Mathematical Society
33 Constructive Approximation
27 International Journal of Number Theory
26 Applied Mathematics and Computation
25 Experimental Mathematics
23 Journal of Inequalities and Applications
22 Acta Mathematica Hungarica
20 Advances in Mathematics
19 Rocky Mountain Journal of Mathematics
19 Aequationes Mathematicae
18 Journal de Théorie des Nombres de Bordeaux
18 Computational Methods and Function Theory
18 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
16 Journal d’Analyse Mathématique
14 Bulletin of the Australian Mathematical Society
14 Mathematical Notes
14 Acta Arithmetica
14 Linear Algebra and its Applications
13 Israel Journal of Mathematics
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 The Mathematical Intelligencer
12 Theoretical Computer Science
12 Advances in Applied Mathematics
12 Journal of Mathematical Inequalities
11 American Mathematical Monthly
11 Discrete & Computational Geometry
11 Journal of Mathematical Sciences (New York)
10 Journal of Combinatorial Theory. Series A
10 Monatshefte für Mathematik
10 Mathematical Inequalities & Applications
10 Applicable Analysis and Discrete Mathematics
9 Ukrainian Mathematical Journal
9 Mathematische Zeitschrift
9 Results in Mathematics
9 Designs, Codes and Cryptography
9 Numerical Algorithms
9 Elemente der Mathematik
9 Journal of Integer Sequences
8 Discrete Mathematics
8 Lithuanian Mathematical Journal
8 BIT
8 European Journal of Combinatorics
8 Dolomites Research Notes on Approximation
7 Analysis Mathematica
7 Computers & Mathematics with Applications
7 The Mathematical Gazette
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Journal of Functional Analysis
7 Journal of the Australian Mathematical Society
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Advances in Difference Equations
6 Discrete Applied Mathematics
6 Journal of Mathematical Physics
6 Bulletin of the London Mathematical Society
6 Mathematische Annalen
6 Mathematika
6 Siberian Mathematical Journal
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Expositiones Mathematicae
6 Indagationes Mathematicae. New Series
6 Integral Transforms and Special Functions
6 Abstract and Applied Analysis
6 Mediterranean Journal of Mathematics
6 Research in Number Theory
5 Indian Journal of Pure & Applied Mathematics
5 Colloquium Mathematicum
5 International Journal of Mathematics and Mathematical Sciences
5 Manuscripta Mathematica
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Numerische Mathematik
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 International Journal of Computer Mathematics
5 St. Petersburg Mathematical Journal
5 LMS Journal of Computation and Mathematics
5 Journal of High Energy Physics
5 Proceedings of the Steklov Institute of Mathematics
5 Analysis and Mathematical Physics
5 Journal of Classical Analysis
5 Open Mathematics
4 Applicable Analysis
4 Letters in Mathematical Physics
4 Periodica Mathematica Hungarica
4 Chaos, Solitons and Fractals
4 Archiv der Mathematik
4 Canadian Mathematical Bulletin
4 Functiones et Approximatio. Commentarii Mathematici
4 Journal of Symbolic Computation
4 Stochastic Processes and their Applications
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 The Electronic Journal of Combinatorics
4 Advances in Computational Mathematics
4 Journal of Difference Equations and Applications
4 Boletín de la Sociedad Matemática Mexicana. Third Series
...and 299 more Serials
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Cited in 59 Fields

788 Number theory (11-XX)
422 Special functions (33-XX)
345 Approximations and expansions (41-XX)
287 Real functions (26-XX)
278 Functions of a complex variable (30-XX)
175 Numerical analysis (65-XX)
149 Combinatorics (05-XX)
129 Harmonic analysis on Euclidean spaces (42-XX)
106 Computer science (68-XX)
63 Sequences, series, summability (40-XX)
59 Probability theory and stochastic processes (60-XX)
52 Dynamical systems and ergodic theory (37-XX)
52 Information and communication theory, circuits (94-XX)
48 Difference and functional equations (39-XX)
44 Operator theory (47-XX)
44 Convex and discrete geometry (52-XX)
42 Linear and multilinear algebra; matrix theory (15-XX)
41 Algebraic geometry (14-XX)
40 Field theory and polynomials (12-XX)
39 Ordinary differential equations (34-XX)
39 Partial differential equations (35-XX)
36 Functional analysis (46-XX)
26 Measure and integration (28-XX)
23 History and biography (01-XX)
23 Statistics (62-XX)
23 Quantum theory (81-XX)
22 Geometry (51-XX)
21 Potential theory (31-XX)
19 Statistical mechanics, structure of matter (82-XX)
17 General and overarching topics; collections (00-XX)
17 Systems theory; control (93-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Integral transforms, operational calculus (44-XX)
13 Mathematical logic and foundations (03-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
13 Operations research, mathematical programming (90-XX)
12 Group theory and generalizations (20-XX)
12 Integral equations (45-XX)
11 Several complex variables and analytic spaces (32-XX)
10 Topological groups, Lie groups (22-XX)
8 Commutative algebra (13-XX)
8 Differential geometry (53-XX)
7 Abstract harmonic analysis (43-XX)
6 General topology (54-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Biology and other natural sciences (92-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Mechanics of particles and systems (70-XX)
5 Relativity and gravitational theory (83-XX)
4 Fluid mechanics (76-XX)
4 Optics, electromagnetic theory (78-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of deformable solids (74-XX)
3 Mathematics education (97-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 \(K\)-theory (19-XX)
1 General algebraic systems (08-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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