Stephen Choi's Publications
Books
Borwein,
Peter, Choi, Kwok-Kwong Stephen, Rooney, Brendan and Weirathmuller, Andrea , The
Riemann Hypothesis – A Resource for Afficionado and Virtuoso Alike,
Papers
37.
Borwein, Peter, Choi, Kwok-Kwong Stephen, Martin,
Greg and Samuels, Charles, Polynomials whose reducibility is related to the Goldbach Conjecture, Journal
of Algebra, Number Theory and Applications, to appear (2012).
36.
Borwein, Peter, Choi, Kwok-Kwong Stephen and Jankauskas, Jonas, On a Class of
Polynomials Related to Barker Sequences, Proceedings of Amer. Math. Soc. ,
to appear (2011). [pdf]
35. Choi, Kwok-Kwong Stephen and Samuels, Charles, Two Inequalities on the Areal Mahler Measure, Illinois Journal of Mathmeatics, to
appear (2011). [pdf]
34.
Borwein, Peter, Choi, Kwok-Kwong Stephen and Jankauskas, Jonas, Extremal
Mahler Measures and Ls Norms in the Class of
Polynomials Related to Barker Sequences, Proceedings of Amer. Math. Soc. ,
to appear (2011). [pdf]
33. Borwein, Peter, Choi,
Kwok-Kwong Stephen and Ganguli,
Himadri, Signs Changes of the Liouville
Function on Quadratics , Canad. Math. Bull.,
to appear (2010). [.pdf]
32. Choi, Kwok-Kwong Stephen and Mossinghoff, Micheal, Average Mahler’s Measure and Lp Norms of Unimodular Polynomials,
Pacific Journal of Mathematics, to appear (2010). [.pdf]
31.
Borwein, Peter, Choi, Kwok-Kwong Stephen and Coons,
Michael, Completely Multiplicative Functions Taking
Values in {-1, 1}, Trans. Amer. Math. Soc.. 362 (2010)
6279-6291. [.pdf]
30.
Chan, Tsz Ho, Choi, Kwok-Kwong
Stephen and Tsang, Kai Man, An Extension to the Brun-Titchmarsh
Theorem, Quarterly Journal
of Mathematics, to appear (2009). [.pdf]
29.
Borwein, Peter, Choi, Kwok-Kwong Stephen and Mercer, Idris, Expected Norms of Zero-One
Polynomials, Canad. Math. Bull.,
51 (2008), no 4, 497--507. [.pdf]
28.
Akhtari, Shabnam and Choi,
Kwok-Kwong Stephen, On the
Littlewood Cyclotomic Polynomials, J. Number Theory 128 (2008), no. 4,
884-894 . [.pdf]
27.
Borwein, Peter and Choi, Kwok-Kwong Stephen, The average norm of polynomials of fixed height, Trans.
Amer. Math. Soc.. 359
(2007) 923-936. [.pdf]
26.
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. [.pdf]
25.
Choi, Kwok-Kwong Stephen and Zhou, Ping, On Linear Independence of a Certain Multivariate Infinite Product, Canad. Math. Bull , 51 (2008), no 1, 32--46. [.pdf]
24. Choi, Kwok-Kwong Stephen and Kumchev, Angel, Mean Values of Dirichlet Polynomials and Applications to Linear Equations with Primes Variables, Acta Arithmetica 123 (2006), 125-142. [.pdf]
23. 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. [.pdf]
22. Choi, Kwok-Kwong
Stephen, Kumchev, Angel and Osburn,
Robert, On Sums of Three Squares, International
Journal of Number Theory 1 (2005), no. 2, 161--173. [.pdf]
21. Borwein, Peter, Choi, Kwok-Kwong Stephen and Ferguson, Ron, Norm of Littlewood Cyclotomic Polynomials, Mathematical Proceedings Cambridge Philosophical Society, 138 (2005) 315-326. [.pdf]
20. Choi, Kwok-Kwong Stephen and Liu, Jianya, Small prime solutions of quadratic equations II, Proceedings of the American Mathematical Society, 133 (2005) 945-951. [.pdf]
19.
Borwein, Jonathan, Choi, Kwok-Kwong Stephen and Pigulla, Wilfried, Continued fractions of tails of hypergeometric
series,
18. Choi, Kwok-Kwong Stephen and Kumchev, Angel, Quadratic Equations with Five Prime Unknowns, J. Number Theory 107 (2004), no. 2, 357--367. [.pdf]
17.
Borwein, Jonathan and Choi, Kwok-Kwong Stephen, Dirichlet series for squares of sums of squares: a summary, Centre de Recherches
Mathématiques,
16.
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]
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. [.pdf]
14. Choi, Kwok-Kwong Stephen and Liu, Jianya, Small prime solutions of quadratic equations, Canad. J. Math. , 54 (2002), no 1, 71--91. [.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. [.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. [.pdf]
11. 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. [.pdf]
10. Borwein, Peter and Choi, Kwok-Kwong Stephen, Merit factors of character polynomials, J. London Math. Soc. (2), 61 (2000), no. 3, 706--720. [.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. [.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. [.pdf]
7. Borwein, Jonathan and Choi, Kwok-Kwong Stephen, On the representations of xy+yz+zx, Experiment. Math. 9 (2000), no. 1, 153--158. [.pdf]
6.
Choi, Kwok-Kwong, On the distribution of
points in projective space of bounded height, Trans.
Amer. Math. Soc. 352 (2000),
no. 3, 1071--1111. [.pdf]
5. Borwein, Peter and Choi, Kwok-Kwong Stephen, On cyclotomic polynomials with ±1 coefficients, Experiment. Math. 8 (1999), no. 4, 399--407. [.pdf]
4.
Choi, Kwok-Kwong and Vaaler, Jeffrey D., Diophantine approximation in projective space, Number
theory (Ottawa, ON, 1996), 55--65,
3.
Choi, Kwok-Kwong Stephen, A
numerical bound for Baker's constant--- some explicit estimates for small prime
solutions of linear equations, Bull.
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. [.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. [.pdf]