Edit Profile (opens in new tab) Borwein, Peter Benjamin Compute Distance To: Compute Author ID: borwein.peter-benjamin Published as: Borwein, Peter; Borwein, Peter B.; Borwein, P. B.; Borwein, P.; Borwein, Peter Benjamin External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 183 Publications since 1978, including 8 Books 7 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 85 Co-Authors with 146 Joint Publications 1,611 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 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 Coons, Michael 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 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 90 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 167 Publications have been cited 2,152 times in 1,490 Documents Cited by ▼ Year ▼ Polynomials and polynomial inequalities. Zbl 0840.26002Borwein, Peter; Erdélyi, Tamás 311 1995 Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0611.10001Borwein, Jonathan M.; Borwein, Peter B. 203 1987 A cubic counterpart of Jacobi’s identity and the AGM. Zbl 0725.33014Borwein, J. M.; Borwein, P. B. 91 1991 Ramanujan’s rational and algebraic series for \(1/\pi\). Zbl 0699.10044Borwein, J. M.; Borwein, P. B. 76 1987 Computational excursions in analysis and number theory. Zbl 1020.12001Borwein, Peter 66 2002 On the rapid computation of various polylogarithmic constants. Zbl 0879.11073Bailey, David; Borwein, Peter; Plouffe, Simon 58 1997 Some cubic modular identities of Ramanujan. Zbl 0799.33012Borwein, J. M.; Borwein, P. B.; Garvan, F. G. 55 1994 Müntz systems and orthogonal Müntz-Legendre polynomials. Zbl 0799.41015Borwein, Peter; Erdélyi, Tamás; Zhang, John 41 1994 Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi. Zbl 0672.10017Borwein, J. M.; Borwein, P. B.; Bailey, D. H. 32 1989 The arithmetic-geometric mean and fast computation of elementary functions. Zbl 0557.65009Borwein, J. M.; Borwein, P. B. 31 1984 A survey of Sylvester’s problem and its generalizations. Zbl 0717.52013Borwein, P.; Moser, W. O. J. 31 1990 Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0903.11001Borwein, Jonathan M.; Borwein, Peter B. 31 1998 The Prouhet-Tarry-Escott problem revisited. Zbl 0810.11016Borwein, Peter; Ingalls, Colin 28 1994 On the irrationality of \(\sum (1/(q^ n+r))\). Zbl 0718.11029Borwein, Peter B. 26 1991 The integer Chebyshev problem. Zbl 0859.11044Borwein, Peter; Erdélyi, Tamás 26 1996 Lehmer’s problem for polynomials with odd coefficients. Zbl 1172.11034Borwein, Peter; Dobrowolski, Edward; Mossinghoff, Michael J. 26 2007 Sharp extensions of Bernstein’s inequality to rational spaces. Zbl 0869.41010Borwein, Peter; Erdélyi, Tamás 26 1996 Littlewood-type problems on \([0,1]\). Zbl 1039.11046Borwein, Peter; Erdélyi, Tamás; Kós, Géza 25 1999 On the irrationality of certain series. Zbl 0779.11027Borwein, Peter B. 24 1992 Generalizations of Müntz’s theorem via a Remez-type inequality for Müntz spaces. Zbl 0864.41014Borwein, Peter; Erdélyi, Tamás 23 1997 Inequalities for compound mean iterations with logarithmic asymptotes. Zbl 0783.33001Borwein, Jonathan M.; Borwein, Peter B. 22 1993 Multiple roots of \([-1,1]\) power series. Zbl 0922.30004Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher 20 1998 The full Müntz theorem in \(C[0,1]\) and \(L_ 1[0,1]\). Zbl 0854.41015Borwein, Peter; Erdélyi, Tamás 20 1996 On the zeros of polynomials with restricted coefficients. Zbl 0906.30005Borwein, Peter; Erdélyi, Tamás 20 1997 The Riemann hypothesis. A resource for the afficionado and virtuoso alike. Zbl 1132.11047 20 2007 Chebyshev polynomials and Markov-Bernstein type inequalities for rational spaces. Zbl 0815.41013Borwein, Peter; Erdélyi, Tamás; Zhang, John 19 1994 Padé approximants for the q-elementary functions. Zbl 0685.41015Borwein, Peter B. 17 1988 Some computations on the spectra of Pisot and Salem numbers. Zbl 1037.11065Borwein, Peter; Hare, Kevin G. 17 2002 Making sense of experimental mathematics. Zbl 0874.00027Borwein, J.; Borwein, P.; Girgensohn, R.; Parnes, S. 16 1996 The quest for pi. Zbl 0878.11002Bailey, D. H.; Borwein, J. M.; Borwein, P. B.; Plouffe, S. 16 1997 The expected \(L_{p}\) norm of random polynomials. Zbl 0999.30004Borwein, Peter; Lockhart, Richard 16 2001 Class number three Ramanujan type series for \(1/\pi\). Zbl 0818.65010Borwein, J. M.; Borwein, P. B. 15 1993 Quadratic Hermite-Padé approximation to the exponential function. Zbl 0625.41012Borwein, Peter B. 15 1986 On the generating function of the integer part: \([n\alpha{}+ \gamma{}]\). Zbl 0778.11039Borwein, J. M.; Borwein, P. B. 14 1993 Markov’s inequality for polynomials with real zeros. Zbl 0564.26003Borwein, Peter 14 1985 More Ramanujan-type series for 1/\(\pi\). Zbl 0652.10019Borwein, J. M.; Borwein, P. B. 14 1988 An efficient algorithm for the Riemann zeta function. Zbl 0984.11067Borwein, P. 14 2000 Completely multiplicative functions taking values in \(\{-1,1\}\). Zbl 1222.11111Borwein, Peter; Choi, Stephen K. K.; Coons, Michael 14 2010 A complete description of Golay pairs for lengths up to 100. Zbl 1052.11019Borwein, P. B.; Ferguson, R. A. 14 2004 Polynomials with coefficients from a finite set. Zbl 1158.30002Borwein, Peter; Erdélyi, Tamás; Littmann, Friedrich 14 2008 Pi, Euler numbers, and asymptotic expansions. Zbl 0711.11009Borwein, J. M.; Borwein, P. B.; Dilcher, K. 13 1989 Giuga’s conjecture on primality. Zbl 0860.11003Borwein, D.; Borwein, J. M.; Borwein, P. B.; Girgensohn, R. 13 1996 Sign changes in sums of the Liouville function. Zbl 1198.11090Borwein, Peter; Ferguson, Ron; Mossinghoff, Michael J. 12 2008 Polynomials with height 1 and prescribed vanishing at 1. Zbl 0999.12001Borwein, Peter; Mossinghoff, Michael J. 12 2000 Polynomials with \(\{0,+1,-1\}\) coefficients and a root close to a given point. Zbl 0901.11022Borwein, Peter; Pinner, Christopher 12 1997 Pi: a source book. 3rd ed. Zbl 1054.11001 12 2004 On the zeros of cosine polynomials: solution to a problem of Littlewood. Zbl 1186.11045Borwein, Peter Benjamin; Erdélyi, Tamás; Ferguson, Ron; Lockhart, Richard 12 2008 Zeros of partial sums of the Riemann zeta function. Zbl 1219.11126Borwein, Peter; Fee, Greg; Ferguson, Ron; van der Waall, Alexa 11 2007 An old conjecture of Erdős-Turán on additive bases. Zbl 1093.11018Borwein, Peter; Choi, Stephen; Chu, Frank 11 2006 Littlewood-type problems on subarcs of the unit circle. Zbl 0930.30005Borwein, Peter; Erdélyi, Tamás 11 1997 The density of alternation points in rational approximation. Zbl 0688.41018Borwein, P. B.; Króo, A.; Grothmann, R.; Saff, E. B. 10 1989 Transcendence of power series for some number theoretic functions. Zbl 1236.11063Borwein, Peter; Coons, Michael 10 2009 Incomplete rational approximation in the complex plane. Zbl 0820.41013Borwein, P. B.; Chen, Weiyu 10 1995 Explicit merit factor formulae for Fekete and Turyn polynomials. Zbl 1010.11017Borwein, Peter; Choi, Kwok-Kwong Stephen 10 2002 The arc length of the lemniscate \(\{| p(z)| =1\}\). Zbl 0821.31002Borwein, Peter 10 1995 Müntz spaces and Remez inequalities. Zbl 0814.41013Borwein, Peter; Erdélyi, Tamás 9 1995 Barker sequences and flat polynomials. Zbl 1266.11051Borwein, Peter; Mossinghoff, Michael 8 2008 Stieltjes and other integral representations for functions of Lambert W. Zbl 1258.33015Kalugin, German A.; Jeffrey, David J.; Corless, Robert M.; Borwein, Peter B. 8 2012 A remarkable cubic mean iteration. Zbl 0709.30020Borwein, J. M.; Borwein, P. B. 8 1990 On the complexity of familiar functions and numbers. Zbl 0686.68029Borwein, J. M.; Borwein, P. B. 8 1988 On cyclotomic polynomials with \(\pm 1\) coefficients. Zbl 0947.11031Borwein, Peter; Choi, Kwok-Kwong Stephen 8 1999 Rudin-Shapiro-like polynomials in \(L_4\). Zbl 1042.11046Borwein, Peter; Mossinghoff, Michael 8 2000 Pi: a source book. Zbl 0876.11001 8 1997 Power series with restricted coefficients and a root on a given ray. Zbl 0889.30006Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher 8 1998 Exact inequalities for the norms of factors of polynomials. Zbl 0820.30006Borwein, Peter B. 8 1994 Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood. Zbl 1124.41009Borwein, Peter; Erdélyi, Tamás 7 2007 Strange series and high precision fraud. Zbl 0762.40003Borwein, J. M.; Borwein, P. B. 7 1992 Zeros of Chebyshev polynomials in Markov systems. Zbl 0733.41012Borwein, Peter 7 1990 Markov-Bernstein-type inequalities for classes of polynomials with restricted zeros. Zbl 0816.41012Borwein, Peter; Erdélyi, Tamás 7 1994 Monic integer Chebyshev problem. Zbl 1054.11018Borwein, P. B.; Pinner, C. G.; Pritsker, I. E. 7 2003 Visible structures in number theory. Zbl 1160.11300Borwein, Peter; Jörgenson, Loki 7 2001 The Mahler measure of polynomials with odd coefficients. Zbl 1143.11349Borwein, Peter; Hare, Kevin G.; Mossinghoff, Michael J. 7 2004 Nikolskii-type inequalities for shift invariant function spaces. Zbl 1113.41017Borwein, Peter; Erdélyi, Tamás 7 2006 The way of all means. Zbl 0628.26003Borwein, J. M.; Borwein, P. B. 6 1987 Variations on Müntz’s theme. Zbl 0758.41027Borwein, Peter B. 6 1991 The \(L_ p\) version of Newman’s inequality for lacunary polynomials. Zbl 0840.41008Borwein, Peter; Erdélyi, Tamás 6 1996 A sharp Bernstein-type inequality for exponential sums. Zbl 0851.41011Borwein, Peter; Erdélyi, Tamás 6 1996 Merit factors of character polynomials. Zbl 1011.11059Borwein, Peter; Choi, Kwok-Kwong Stephen 6 2000 Wieferich pairs and Barker sequences. II. Zbl 1355.11018Borwein, Peter; Mossinghoff, Michael J. 6 2014 Merit factors of polynomials formed by Jacobi symbols. Zbl 0964.11020Borwein, Peter; Choi, Kwok-Kwong Stephen 6 2001 General forms for minimal spectral values for a class of quadratic Pisot numbers. Zbl 1094.11038Borwein, Peter; Hare, Kevin G. 6 2003 Walking on real numbers. Zbl 1282.11088Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B. 6 2013 On the complexity of calculating factorials. Zbl 0576.68027Borwein, Peter B. 5 1985 The relationship between the zeros of best approximations and differentiability. Zbl 0552.41019Borwein, Peter B. 5 1984 On the mean iteration \((a,b)\leftarrow ((a+3b)/4,(\sqrt{ab}+b)/2)\). Zbl 0675.30023Borwein, J. M.; Borwein, P. B. 5 1989 Pi: a source book. 2nd ed. Zbl 1039.11001 5 2000 Pointwise Remez- and Nikolskii-type inequalities for exponential sums. Zbl 0949.41006Borwein, Peter; Erdélyi, Tamás 5 2000 Remez-, Nikolskii-, and Markov-type inequalities for generalized nonnegative polynomials with restricted zeros. Zbl 0755.41017Borwein, Peter; Erdélyi, Tamás 5 1992 Notes on lacunary Müntz polynomials. Zbl 0762.41009Borwein, Peter; Erdély, Tamás 5 1991 On Littlewood polynomials with prescribed number of zeros inside the unit disk. Zbl 1320.11097Borwein, Peter; Choi, Stephen; Ferguson, Ron; Jankauskas, Jonas 5 2015 Newman’s inequality for Müntz polynomials on positive intervals. Zbl 0853.41008Borwein, Peter; Erdélyi, Tamás 5 1996 Rational approximation with varying weights I. Zbl 0870.41010Borwein, P.; Rakhmanov, E. A.; Saff, E. B. 5 1996 An extremal property of Fekete polynomials. Zbl 0987.11010Borwein, Peter; Choi, Kwok-Kwong Stephen; Yazdani, Soroosh 5 2001 Hypergeometric analogues of the arithmetic-geometric mean iteration. Zbl 0785.33001Borwein, J.; Borwein, P.; Garvan, F. 5 1993 An interesting infinite product. Zbl 0793.40006Borwein, Peter; Dykshoorn, Willem 5 1993 Moment-matching and best entropy estimation. Zbl 0813.41018Borwein, Peter; Lewis, Adrian S. 5 1994 Computational investigations of the Prouhet-Tarry-Escott problem. Zbl 1026.11094Borwein, Peter; Lisoněk, Petr; Percival, Colin 5 2003 Markov- and Bernstein-type inequalities for polynomials with restricted coefficients. Zbl 0902.41012Borwein, Peter; Erdélyi, Tamás 5 1997 The average norm of polynomials of fixed height. Zbl 1198.11030Borwein, Peter; Choi, Kwok-Kwong Stephen 5 2007 Growth of the product \(\prod_{j=1}^n (1-x^{a_j})\). Zbl 0918.11054Bell, J. P.; Borwein, P. B.; Richmond, L. B. 4 1998 On Littlewood polynomials with prescribed number of zeros inside the unit disk. Zbl 1320.11097Borwein, Peter; Choi, Stephen; Ferguson, Ron; Jankauskas, Jonas 5 2015 Wieferich pairs and Barker sequences. II. Zbl 1355.11018Borwein, Peter; Mossinghoff, Michael J. 6 2014 Walking on real numbers. Zbl 1282.11088Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B. 6 2013 The multiplicity of the zero at 1 of polynomials with constrained coefficients. Zbl 1284.11054Borwein, Peter; Erdélyi, Tamás; Kós, Géza 4 2013 Extremal Mahler measures and \(L_s\) norms of polynomials related to Barker sequences. Zbl 1272.11041Borwein, Peter; Choi, Stephen; Jankauskas, Jonas 3 2013 Champernowne’s number, strong normality, and the X chromosome. Zbl 1283.11108Belshaw, Adrian; Borwein, Peter 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 A note on Barker polynomials. Zbl 1333.11030Borwein, Peter; Erdélyi, Tamás 1 2013 Stieltjes and other integral representations for functions of Lambert W. Zbl 1258.33015Kalugin, German A.; Jeffrey, David J.; Corless, Robert M.; Borwein, Peter B. 8 2012 On a class of polynomials related to Barker sequences. Zbl 1329.11022Borwein, Peter; Choi, Stephen; Jankauskas, Jonas 2 2012 The extraordinary power of division in straight line programs. Zbl 1271.11118Borwein, Peter; Hobart, Joe 1 2012 Completely multiplicative functions taking values in \(\{-1,1\}\). Zbl 1222.11111Borwein, Peter; Choi, Stephen K. K.; Coons, Michael 14 2010 Experimental and computational mathematics: selected writings. Zbl 1225.01096Borwein, Jonathan; Borwein, Peter 2 2010 Transcendence of power series for some number theoretic functions. Zbl 1236.11063Borwein, Peter; Coons, Michael 10 2009 The multivariate integer Chebyshev problem. Zbl 1246.11075Borwein, P. B.; Pritsker, I. E. 3 2009 Polynomials with coefficients from a finite set. Zbl 1158.30002Borwein, Peter; Erdélyi, Tamás; Littmann, Friedrich 14 2008 Sign changes in sums of the Liouville function. Zbl 1198.11090Borwein, Peter; Ferguson, Ron; Mossinghoff, Michael J. 12 2008 On the zeros of cosine polynomials: solution to a problem of Littlewood. Zbl 1186.11045Borwein, Peter Benjamin; Erdélyi, Tamás; Ferguson, Ron; Lockhart, Richard 12 2008 Barker sequences and flat polynomials. Zbl 1266.11051Borwein, Peter; Mossinghoff, Michael 8 2008 Expected norms of zero-one polynomials. Zbl 1173.11015Borwein, Peter; Choi, Kwok-Kwong Stephen; Mercer, Idris 2 2008 The merit factor problem. Zbl 1266.11050Borwein, Peter; Ferguson, Ron; Knauer, Joshua 1 2008 Lehmer’s problem for polynomials with odd coefficients. Zbl 1172.11034Borwein, Peter; Dobrowolski, Edward; Mossinghoff, Michael J. 26 2007 The Riemann hypothesis. A resource for the afficionado and virtuoso alike. Zbl 1132.11047 20 2007 Zeros of partial sums of the Riemann zeta function. Zbl 1219.11126Borwein, Peter; Fee, Greg; Ferguson, Ron; van der Waall, Alexa 11 2007 Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood. Zbl 1124.41009Borwein, Peter; Erdélyi, Tamás 7 2007 The average norm of polynomials of fixed height. Zbl 1198.11030Borwein, Peter; Choi, Kwok-Kwong Stephen 5 2007 Irreducible polynomials and Barker sequences. Zbl 1322.68271Borwein, Peter; Kaltofen, Erich; Mossinghoff, Michael J. 3 2007 Generalizations of Gonçalves’ inequality. Zbl 1126.30006Borwein, Peter; Mossinghoff, Michael J.; Vaaler, Jeffrey D. 1 2007 An old conjecture of Erdős-Turán on additive bases. Zbl 1093.11018Borwein, Peter; Choi, Stephen; Chu, Frank 11 2006 Nikolskii-type inequalities for shift invariant function spaces. Zbl 1113.41017Borwein, Peter; Erdélyi, Tamás 7 2006 Norms of cyclotomic Littlewood polynomials. Zbl 1080.11020Borwein, Peter; Choi, Stephen Kwok-Kwong; Ferguson, Ron 4 2005 Polyphase sequences with low autocorrelation. Zbl 1267.94023Borwein, Peter B.; Ferguson, R. A. 2 2005 Explicit construction of general multivariate Padé approximants to an Appell function. Zbl 1085.41010Borwein, P. B.; Cuyt, A.; Zhou, P. 2 2005 A complete description of Golay pairs for lengths up to 100. Zbl 1052.11019Borwein, P. B.; Ferguson, R. A. 14 2004 Pi: a source book. 3rd ed. Zbl 1054.11001 12 2004 The Mahler measure of polynomials with odd coefficients. Zbl 1143.11349Borwein, Peter; Hare, Kevin G.; Mossinghoff, Michael J. 7 2004 Binary sequences with merit factor greater than 6.34. Zbl 1267.94024Borwein, Peter; Choi, Kwok-Kwong Stephen; Jedwab, Jonathan 4 2004 Monic integer Chebyshev problem. Zbl 1054.11018Borwein, P. B.; Pinner, C. G.; Pritsker, I. E. 7 2003 General forms for minimal spectral values for a class of quadratic Pisot numbers. Zbl 1094.11038Borwein, Peter; Hare, Kevin G. 6 2003 Computational investigations of the Prouhet-Tarry-Escott problem. Zbl 1026.11094Borwein, Peter; Lisoněk, Petr; Percival, Colin 5 2003 Newman polynomials with prescribed vanishing and integer sets with distinct subset sums. Zbl 1023.11008Borwein, Peter; Mossinghoff, Michael J. 4 2003 Non-trivial quadratic approximations to zero of a family of cubic Pisot numbers. Zbl 1083.11044Borwein, Peter; Hare, Kevin G. 1 2003 Lower bounds for the merit factors of trigonometric polynomials from Littlewood classes. Zbl 1038.42002Borwein, Peter; Erdélyi, Tamás 1 2003 Computational excursions in analysis and number theory. Zbl 1020.12001Borwein, Peter 66 2002 Some computations on the spectra of Pisot and Salem numbers. Zbl 1037.11065Borwein, Peter; Hare, Kevin G. 17 2002 Explicit merit factor formulae for Fekete and Turyn polynomials. Zbl 1010.11017Borwein, Peter; Choi, Kwok-Kwong Stephen 10 2002 Paul Erdős and polynomials. Zbl 1031.11011Borwein, P. 1 2002 The expected \(L_{p}\) norm of random polynomials. Zbl 0999.30004Borwein, Peter; Lockhart, Richard 16 2001 Visible structures in number theory. Zbl 1160.11300Borwein, Peter; Jörgenson, Loki 7 2001 Merit factors of polynomials formed by Jacobi symbols. Zbl 0964.11020Borwein, Peter; Choi, Kwok-Kwong Stephen 6 2001 An extremal property of Fekete polynomials. Zbl 0987.11010Borwein, Peter; Choi, Kwok-Kwong Stephen; Yazdani, Soroosh 5 2001 Trigonometric polynomials with many real zeros and a Littlewood-type problem. Zbl 0968.41008Borwein, Peter; Erdélyi, Tamás 4 2001 An efficient algorithm for the Riemann zeta function. Zbl 0984.11067Borwein, P. 14 2000 Polynomials with height 1 and prescribed vanishing at 1. Zbl 0999.12001Borwein, Peter; Mossinghoff, Michael J. 12 2000 Rudin-Shapiro-like polynomials in \(L_4\). Zbl 1042.11046Borwein, Peter; Mossinghoff, Michael 8 2000 Merit factors of character polynomials. Zbl 1011.11059Borwein, Peter; Choi, Kwok-Kwong Stephen 6 2000 Pi: a source book. 2nd ed. Zbl 1039.11001 5 2000 Pointwise Remez- and Nikolskii-type inequalities for exponential sums. Zbl 0949.41006Borwein, Peter; Erdélyi, Tamás 5 2000 Markov-Bernstein type inequalities under Littlewood-type coefficient constraints. Zbl 1011.26010Borwein, Peter; Erdélyi, Tamás 3 2000 The amazing number \(\pi\). Zbl 1173.01300Borwein, Peter 2 2000 Littlewood-type problems on \([0,1]\). Zbl 1039.11046Borwein, Peter; Erdélyi, Tamás; Kós, Géza 25 1999 On cyclotomic polynomials with \(\pm 1\) coefficients. Zbl 0947.11031Borwein, Peter; Choi, Kwok-Kwong Stephen 8 1999 On the irrationality of a certain \(q\) series. Zbl 0926.11051Borwein, Peter B.; Zhou, Ping 3 1999 Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0903.11001Borwein, Jonathan M.; Borwein, Peter B. 31 1998 Multiple roots of \([-1,1]\) power series. Zbl 0922.30004Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher 20 1998 Power series with restricted coefficients and a root on a given ray. Zbl 0889.30006Beaucoup, Franck; Borwein, Peter; Boyd, David W.; Pinner, Christopher 8 1998 Growth of the product \(\prod_{j=1}^n (1-x^{a_j})\). Zbl 0918.11054Bell, J. P.; Borwein, P. B.; Richmond, L. B. 4 1998 Some old problems on polynomials with integer coefficients. Zbl 0930.12001Borwein, Peter 3 1998 Müntz’s theorem on compact subsets of positive measure. Zbl 0901.41005Borwein, Peter; Erdélyi, Tamás 3 1998 A Remez-type inequality for non-dense Müntz spaces with explicit bound. Zbl 0904.41006Borwein, Peter; Erdélyi, Tamás 1 1998 On the rapid computation of various polylogarithmic constants. Zbl 0879.11073Bailey, David; Borwein, Peter; Plouffe, Simon 58 1997 Generalizations of Müntz’s theorem via a Remez-type inequality for Müntz spaces. Zbl 0864.41014Borwein, Peter; Erdélyi, Tamás 23 1997 On the zeros of polynomials with restricted coefficients. Zbl 0906.30005Borwein, Peter; Erdélyi, Tamás 20 1997 The quest for pi. Zbl 0878.11002Bailey, D. H.; Borwein, J. M.; Borwein, P. B.; Plouffe, S. 16 1997 Polynomials with \(\{0,+1,-1\}\) coefficients and a root close to a given point. Zbl 0901.11022Borwein, Peter; Pinner, Christopher 12 1997 Littlewood-type problems on subarcs of the unit circle. Zbl 0930.30005Borwein, Peter; Erdélyi, Tamás 11 1997 Pi: a source book. Zbl 0876.11001 8 1997 Markov- and Bernstein-type inequalities for polynomials with restricted coefficients. Zbl 0902.41012Borwein, Peter; Erdélyi, Tamás 5 1997 What is organic mathematics? Zbl 1053.00506Borwein, Jonathan M.; Borwein, Peter B.; Corless, Robert M.; Jörgenson, Loki; Sinclair, Nathalie 2 1997 The integer Chebyshev problem. Zbl 0859.11044Borwein, Peter; Erdélyi, Tamás 26 1996 Sharp extensions of Bernstein’s inequality to rational spaces. Zbl 0869.41010Borwein, Peter; Erdélyi, Tamás 26 1996 The full Müntz theorem in \(C[0,1]\) and \(L_ 1[0,1]\). Zbl 0854.41015Borwein, Peter; Erdélyi, Tamás 20 1996 Making sense of experimental mathematics. Zbl 0874.00027Borwein, J.; Borwein, P.; Girgensohn, R.; Parnes, S. 16 1996 Giuga’s conjecture on primality. Zbl 0860.11003Borwein, D.; Borwein, J. M.; Borwein, P. B.; Girgensohn, R. 13 1996 The \(L_ p\) version of Newman’s inequality for lacunary polynomials. Zbl 0840.41008Borwein, Peter; Erdélyi, Tamás 6 1996 A sharp Bernstein-type inequality for exponential sums. Zbl 0851.41011Borwein, Peter; Erdélyi, Tamás 6 1996 Newman’s inequality for Müntz polynomials on positive intervals. Zbl 0853.41008Borwein, Peter; Erdélyi, Tamás 5 1996 Rational approximation with varying weights I. Zbl 0870.41010Borwein, P.; Rakhmanov, E. A.; Saff, E. B. 5 1996 Questions about polynomials with \(\{ 0,-1,+1\}\) coefficients: Research problems 96-3. Zbl 0877.41013Borwein, Peter; Erdélyi, Tamás 2 1996 Polynomials and polynomial inequalities. Zbl 0840.26002Borwein, Peter; Erdélyi, Tamás 311 1995 Incomplete rational approximation in the complex plane. Zbl 0820.41013Borwein, P. B.; Chen, Weiyu 10 1995 The arc length of the lemniscate \(\{| p(z)| =1\}\). Zbl 0821.31002Borwein, Peter 10 1995 Müntz spaces and Remez inequalities. Zbl 0814.41013Borwein, Peter; Erdélyi, Tamás 9 1995 Zeros of iterated integrals of polynomials. Zbl 0843.30007Borwein, Peter B.; Chen, Weiyu; Dilcher, Karl 3 1995 Upper bounds for the derivative of exponential sums. Zbl 0829.41013Borwein, Peter; Erdélyi, Tamás 3 1995 Markov and Bernstein type inequalities in \(L_ p\) for classes of polynomials with constraints. Zbl 0826.41017Borwein, Peter; Erdélyi, Tamás 3 1995 Dense Markov spaces and unbounded Bernstein inequalities. Zbl 0865.41015Borwein, Peter; Erdélyi, Tamás 2 1995 Some cubic modular identities of Ramanujan. Zbl 0799.33012Borwein, J. M.; Borwein, P. B.; Garvan, F. G. 55 1994 Müntz systems and orthogonal Müntz-Legendre polynomials. Zbl 0799.41015Borwein, Peter; Erdélyi, Tamás; Zhang, John 41 1994 The Prouhet-Tarry-Escott problem revisited. Zbl 0810.11016Borwein, Peter; Ingalls, Colin 28 1994 ...and 67 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,602 Authors 60 Erdélyi, Tamás 53 Borwein, Peter Benjamin 34 Chu, Yuming 28 Borwein, Jonathan Michael 21 Pritsker, Igor E. 20 Bailey, David Harold 18 Lubinsky, Doron S. 17 Chan, Heng Huat 15 Wang, Miaokun 15 Zudilin, Wadim 14 Qiu, Songliang 13 Kroó, András 13 Xu, Ce 11 Hare, Kevin G. 11 Mossinghoff, Michael J. 11 Yang, Zhenhang 10 Cooper, Shaun 10 Guillera, Jesús 10 Neuman, Edward 10 Saff, Edward Barry 10 Samuels, Charles L. 10 Zhang, Xiaohui 9 Coons, Michael 9 Matkowski, Janusz 8 Andrievskii, Vladimir V. 8 Chu, Wenchang 8 Crandall, Richard E. 8 Ma, Xiaoyan 8 Pinner, Christopher G. 8 Zhou, Ping 7 Choi, Kwok-Kwong Stephen 7 Driver, Kathy A. 7 Jankauskas, Jonas 7 Moll, Victor Hugo 7 Vuorinen, Matti Keijo Kustaa 7 Wan, James Gu Feng 7 Wielonsky, Franck 7 Wu, Qiang 7 Zhao, Tiehong 6 Alzer, Horst 6 Berndt, Bruce Carl 6 Chen, Chaoping 6 Dubickas, Artūras 6 Dvir, Zeev 6 Hančl, Jaroslav 6 Kalmykov, Sergeĭ Ivanovich 6 Rhin, Georges 6 Richards, Kendall C. 6 Schmidt, Kai-Uwe 6 Van Assche, Walter 5 Agarwal, Ravi P. 5 Ait-Haddou, Rachid 5 Allouche, Jean-Paul Simon 5 Anderson, Glen Douglas 5 Baranov, Anton D. 5 Barnard, Roger W. 5 Baruah, Nayandeep Deka 5 Beliakov, Gleb 5 Berenhaut, Kenneth S. 5 Chen, Yonggao 5 Chua, Kok Seng 5 Corless, Robert Malcolm 5 Deng, Guantie 5 Duverney, Daniel 5 Flammang, Valérie 5 Ganzburg, Michael Iosifovich 5 Kofanov, V. A. 5 Mc Laughlin, James G. 5 Mir, Abdullah 5 Navascués, María Antonia 5 Pijeira-Cabrera, Héctor 5 Qian, Weimao 5 Shen, Lichien 5 Solé, Patrick 5 Solomyak, Boris 5 Sondow, Jonathan D. 5 Song, Yingqing 5 Straub, Armin 5 Väänänen, Keijo O. 5 Wang, Liuquan 5 Zarouf, Rachid 4 Alam, Ihab Al 4 Bell, Jason P. 4 Blatt, Hans-Peter 4 Bundschuh, Peter 4 Chamberland, Marc 4 Choi, Stephen Kwok-Kwong 4 Choudhry, Ajai 4 Đoković, Dragomir Ž. 4 Dubinin, Vladimir N. 4 Faulhuber, Markus 4 Grau, José María 4 Hirschhorn, Michael D. 4 Huber, Tim 4 Jarczyk, Justyna 4 Jiang, Yueping 4 Kotsireas, Ilias S. 4 Lefèvre, Pascal 4 Liu, Zhi-Guo 4 Long, Boyong ...and 1,502 more Authors all top 5 Cited in 326 Serials 101 Journal of Approximation Theory 87 Journal of Mathematical Analysis and Applications 72 The Ramanujan Journal 63 Journal of Number Theory 59 Mathematics of Computation 45 Proceedings of the American Mathematical Society 38 Transactions of the American Mathematical Society 35 Journal of Computational and Applied Mathematics 28 Constructive Approximation 24 International Journal of Number Theory 20 Applied Mathematics and Computation 20 Journal of Inequalities and Applications 19 Advances in Mathematics 19 Experimental Mathematics 18 Journal de Théorie des Nombres de Bordeaux 17 Rocky Mountain Journal of Mathematics 17 Acta Mathematica Hungarica 15 Journal d’Analyse Mathématique 15 Aequationes Mathematicae 14 Computational Methods and Function Theory 12 Theoretical Computer Science 11 Bulletin of the Australian Mathematical Society 11 Israel Journal of Mathematics 11 Mathematical Notes 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 The Mathematical Intelligencer 10 Journal of Combinatorial Theory. Series A 10 Monatshefte für Mathematik 10 Linear Algebra and its Applications 9 Discrete & Computational Geometry 8 Mathematische Zeitschrift 8 European Journal of Combinatorics 8 Advances in Applied Mathematics 8 Numerical Algorithms 8 Journal of Mathematical Sciences (New York) 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 American Mathematical Monthly 7 Computers & Mathematics with Applications 7 Discrete Mathematics 7 Ukrainian Mathematical Journal 7 BIT 7 Designs, Codes and Cryptography 7 Elemente der Mathematik 7 Journal of the Australian Mathematical Society 6 Discrete Applied Mathematics 6 Lithuanian Mathematical Journal 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Journal of Functional Analysis 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Indagationes Mathematicae. New Series 5 Analysis Mathematica 5 Journal of Mathematical Physics 5 Acta Arithmetica 5 International Journal of Mathematics and Mathematical Sciences 5 Manuscripta Mathematica 5 Mathematische Annalen 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Numerische Mathematik 5 Results in Mathematics 5 Expositiones Mathematicae 5 St. Petersburg Mathematical Journal 5 Abstract and Applied Analysis 5 Mathematical Inequalities & Applications 5 LMS Journal of Computation and Mathematics 5 Advances in Difference Equations 4 The Mathematical Gazette 4 Periodica Mathematica Hungarica 4 Functiones et Approximatio. Commentarii Mathematici 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Siberian Mathematical Journal 4 The Electronic Journal of Combinatorics 4 Advances in Computational Mathematics 4 Integral Transforms and Special Functions 4 Acta Mathematica Sinica. English Series 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Mediterranean Journal of Mathematics 4 Journal of Mathematical Inequalities 4 Journal of Classical Analysis 4 Open Mathematics 3 Applicable Analysis 3 Indian Journal of Pure & Applied Mathematics 3 Letters in Mathematical Physics 3 Colloquium Mathematicum 3 Journal of Optimization Theory and Applications 3 Mathematika 3 Nagoya Mathematical Journal 3 Acta Applicandae Mathematicae 3 Journal of Symbolic Computation 3 Journal of Complexity 3 The Annals of Applied Probability 3 International Journal of Computer Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Applied and Computational Harmonic Analysis 3 Journal of Difference Equations and Applications 3 Journal of Integer Sequences 3 Annals of Mathematics. Second Series 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of High Energy Physics 3 Proceedings of the Steklov Institute of Mathematics 3 Applicable Analysis and Discrete Mathematics ...and 226 more Serials all top 5 Cited in 59 Fields 618 Number theory (11-XX) 321 Special functions (33-XX) 271 Approximations and expansions (41-XX) 216 Functions of a complex variable (30-XX) 204 Real functions (26-XX) 135 Numerical analysis (65-XX) 120 Combinatorics (05-XX) 108 Harmonic analysis on Euclidean spaces (42-XX) 75 Computer science (68-XX) 43 Probability theory and stochastic processes (60-XX) 41 Sequences, series, summability (40-XX) 41 Convex and discrete geometry (52-XX) 39 Information and communication theory, circuits (94-XX) 37 Difference and functional equations (39-XX) 36 Dynamical systems and ergodic theory (37-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 33 Field theory and polynomials (12-XX) 31 Algebraic geometry (14-XX) 30 Operator theory (47-XX) 28 Functional analysis (46-XX) 26 Ordinary differential equations (34-XX) 21 Measure and integration (28-XX) 21 Partial differential equations (35-XX) 21 Geometry (51-XX) 17 Potential theory (31-XX) 17 Statistics (62-XX) 17 Quantum theory (81-XX) 14 History and biography (01-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Operations research, mathematical programming (90-XX) 11 Systems theory; control (93-XX) 10 General and overarching topics; collections (00-XX) 10 Group theory and generalizations (20-XX) 9 Topological groups, Lie groups (22-XX) 9 Integral transforms, operational calculus (44-XX) 9 Integral equations (45-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Mathematical logic and foundations (03-XX) 7 Commutative algebra (13-XX) 7 Abstract harmonic analysis (43-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 General topology (54-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 3 Mathematics education (97-XX) 2 Associative rings and algebras (16-XX) 2 \(K\)-theory (19-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Manifolds and cell complexes (57-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. 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