Edit Profile (opens in new tab) Borwein, Peter Benjamin (b. 1953 d. 2020) Co-Author Distance Author ID: borwein.peter-benjamin Published as: Borwein, Peter; Borwein, Peter B.; Borwein, P. B.; Borwein, P.; Borwein, Peter Benjamin more...less External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 184 Publications since 1978, including 8 Books and 1 Additional arXiv Preprint 7 Contributions as Editor · 1 Further Contribution Biographic References: 9 Publications Co-Authors: 85 Co-Authors with 147 Joint Publications 1,837 Co-Co-Authors all top 5 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 all top 5 Fields 91 Number theory (11-XX) 71 Approximations and expansions (41-XX) 39 Functions of a complex variable (30-XX) 25 Special functions (33-XX) 21 Real functions (26-XX) 13 General and overarching topics; collections (00-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Numerical analysis (65-XX) 11 History and biography (01-XX) 11 Information and communication theory, circuits (94-XX) 8 Computer science (68-XX) 7 Combinatorics (05-XX) 7 Field theory and polynomials (12-XX) 7 Geometry (51-XX) 6 Difference and functional equations (39-XX) 6 Sequences, series, summability (40-XX) 4 Convex and discrete geometry (52-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.