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
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
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,
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.,
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.
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]