**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 *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 *Norm of Littlewood
Cyclotomic Polynomials*, *Mathematical Proceedings *, 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 **

**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. Hong
Kong Math. Soc.*

**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, * 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]

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