Stephen Choi's Publications

 

Books

 

1. Borwein, Peter, Choi, Kwok-Kwong Stephen, Rooney, Brendan and Weirathmuller, Andrea , The Riemann Hypothesis, Springer-Verlag, New York, to appear (2006).

 

Papers

 

33.  Borwein, Peter and Choi, Kwok-Kwong Stephen, A Variant of Liouville’s Lambda Function: Some Surprising Formulae, submitted for publication (2006).


32.  Choi, Kwok-Kwong Stephen and Mossinghoff, Micheal, Mahler’s Measure and Lp Norms of Multivariate Polynomials with Integer Coefficients, in preparation (2006).


31.  Choi, Kwok-Kwong Stephen and Mossinghoff, Micheal, Mahler’s Measure and Lp Norms of Polynomials with Restricted Coefficients, submitted for publication (2005).


30.  Akhtari, Shabnam and Choi, Kwok-Kwong Stephen, On the Littlewood Cyclotomic Polynomials, submitted for publication (2005).


29. Choi, Kwok-Kwong Stephen and Kumchev, Angel, On Sums of Three Squares, International Journal of Number Theory 1 (2005), no. 2, 161--173. [.dvi] [.ps] [.pdf]


28. Borwein, Peter and Choi, Kwok-Kwong Stephen, The average norm of polynomials of fixed height, Trans. Amer. Math. Soc. (2005), to appear. [.dvi] [.ps] [.pdf]


27.  Kwok-Kwong Stephen and Kumchev, Angel, Mean Values of Dirichlet Polynomials and Applications to Linear Equations with Primes Variables, Acta Arithmetica (2006), to appear. [.dvi] [.ps] [.pdf]


26. Borwein, Peter, Choi, Kwok-Kwong Stephen and Smyth, Chris, The Maximum Modulus of Multivariate Polynomials, in preparation (2005).


25. Choi, Kwok-Kwong Stephen, Extremal Problems about Norms of Littlewood Polynomials, the festschrift in honour of Professor M.K. Siu, the University of Hong Kong, (2006) to appear.


24. Borwein, Peter, Choi, Kwok-Kwong Stephen and Mercer, Idris, Expected Norms of Zero-One Polynomials, submitted for publication (2004).


23. Choi, Kwok-Kwong Stephen and Zhou, Ping, On Linear Independence of a Certain Multivariate Infinite Product, Canadian Mathematical Bulletin (2004), to appear. [.dvi] [.ps] [.pdf]


22. Borwein, Peter, Choi, Kwok-Kwong Stephen and Chu, Frank,  An Old Conjecture of Erdös-Turán on Additive Bases, Mathematics of Computation, 75 (2006), 475-484. [.dvi] [.ps] [.pdf]


21. Choi, Kwok-Kwong Stephen and Kumchev, Angel, Quadratic Equations with Five Prime Unknowns, J. Number Theory 107 (2004), no. 2, 357--367.  [.dvi] [.ps] [.pdf]


20. Borwein, Peter, Choi, Kwok-Kwong Stephen and Ferguson, Ron, Norm of Littlewood Cyclotomic Polynomials, Mathematical Proceedings Cambridge Philosophical Society, 138 (2005) 315-326. [.dvi] [.ps] [.pdf]


19. Choi, Kwok-Kwong Stephen and Liu, Jianya, Small prime solutions of quadratic equations II, Proceedings of the American Mathematical Society, 133 (2005) 945-951. [.dvi] [.ps] [.pdf]


18. Borwein, Jonathan and Choi, Kwok-Kwong Stephen, Dirichlet series for squares of sums of squares: a summary, Centre de Recherches Mathématiques, CRM Proceedings and Lecture Notes, Volume 36, 27-34, 2004. [.dvi] [.ps] [.pdf]


17. Borwein, Peter, Choi, Stephen and Jedwab, Jonathan, Binary sequences with merit factors greater than 6.34, IEEE Transactions on Information Theory, Vol. 50, Issue 12, 3234-3249, 2004.  [.pdf]


16. Borwein, Jonathan, Choi, Kwok-Kwong Stephen and Pigulla, Wilfried, Continued fractions of tails of hypergeometric series,  MAA Monthly 112 (2005), no. 6, 493--501. [.dvi] [.ps] [.pdf]   (Supplement by Wilfried Pigulla)


15. Borwein, Jonathan and Choi, Kwok-Kwong Stephen, On Dirichlet series for sums of squares, The Ramanujan Journal, special issue for Robert Rankin, 7, (2003) No. 1-3, 97-129. [.dvi] [.ps] [.pdf]


14. Choi, Kwok-Kwong Stephen and Liu, Jianya, Small prime solutions of quadratic equations, Canad. J. Math. , 54 (2002), no 1, 71--91. [.dvi] [.ps] [.pdf]


13. Borwein, Peter and Choi, Kwok-Kwong Stephen, Explicit merit factor formulae for Fekete and Turyn Polynomials, Trans. Amer. Math. Soc. , 354 (2002), 219--234. [.dvi] [.ps] [.pdf]


12. Borwein, Peter and Choi, Kwok-Kwong Stephen, Merit factors of polynomials formed by Jacobi symbols, Canad. J. Math., 53 (2001), no. 1, 33--50. [.dvi] [.ps] [.pdf]


11. Borwein, Peter and Choi, Kwok-Kwong Stephen, Merit factors of character polynomials, J. London Math. Soc. (2), 61 (2000), no. 3, 706--720. [.dvi] [.ps] [.pdf]


10. Borwein, Peter; Choi, Kwok-Kwong Stephen and Yazdani, Soroosh, An extremal property of Fekete polynomials, Proc. Amer. Math. Soc., 129 (2001), no. 1, 19--27. [.dvi] [.ps] [.pdf]


9. Bump, Daniel; Choi, Kwok-Kwong; Kurlberg, Pär and Vaaler, Jeffrey, A local Riemann hypothesis. I, Math. Z. 233 (2000), no. 1,1--19. [.dvi] [.ps] [.pdf]


8. Choi, Kwok-Kwong and Siu, Man-Keung, Counter-examples to a problem of Cohn on classifying characters, J. Number Theory 84 (2000), no. 1, 40--48. [.dvi] [.ps] [.pdf]


7. Borwein, Jonathan and Choi, Kwok-Kwong Stephen, On the representations of xy+yz+zx, Experiment. Math. 9 (2000), no. 1, 153--158. [.dvi] [.ps] [.pdf]


6. Borwein, Peter and Choi, Kwok-Kwong Stephen, On cyclotomic polynomials with ±1 coefficients, Experiment. Math. 8 (1999), no. 4, 399--407. [.dvi] [.ps] [.pdf]


5. Choi, Kwok-Kwong, On the distribution of points in projective space of bounded height, Trans. Amer. Math. Soc. 352 (2000), no. 3, 1071--1111. [.dvi] [.ps] [.pdf]


4. Choi, Kwok-Kwong and Vaaler, Jeffrey D., Diophantine approximation in projective space, Number theory (Ottawa, ON, 1996), 55--65, CRM Proc. Lecture Notes, 19, Amer. Math. Soc., Providence, RI, 1999. [.dvi] [.ps] [.pdf]


3. Choi, Kwok-Kwong Stephen, A numerical bound for Baker's constant--- some explicit estimates for small prime solutions of linear equations, Bull. Hong Kong Math. Soc. 1 (1997), no. 1, 1--19. [.dvi] [.ps] [.pdf]


2. Choi, Kwok-Kwong; Liu, Ming Chit and Tsang, Kai Man, Small prime solutions of linear equations. II, Proceedings of the Amalfi Conference on Analytic Number Theory (Maiori, 1989), 1--16, Univ. Salerno, Salerno, 1992. [dvi] [.ps] [.pdf]


1. Choi, Kwok-Kwong; Liu, Ming Chit and Tsang, Kai Man, Conditional bounds for small prime solutions of linear equations, Manuscripta Math. 74 (1992), no. 3, 321--340. [dvi] [.ps] [.pdf]