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, CMS Books in
Mathematics, Springer-Verlag, New York,
2007. (ISBN: 978-0-387-72125-5)
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 MahlerÕs 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
Erds-Turn 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, MAA
Monthly 112 (2005), no. 6,
493--501. [.pdf]
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 Mathmatiques, CRM Proceedings and Lecture Notes, Volume 36, 27-34, 2004. [.pdf]
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, Pr 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, CRM Proc.
Lecture Notes, 19, Amer. Math. Soc., Providence, RI, 1999. [.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. [.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. [.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]