**Book:** **Lattice Sums Then and Now**

This monograph on lattice sums, coauthored with J. M. Borwein, M. L. Glasser, R. C. McPhedran and I. J. Zucker, will appear in Encyclopedia *of Mathematics and its Applications* 150, Cambridge University Press.

Here is a flyer.

My Google Scholar page.

Some of my papers can be found below. (A couple of the pdf’s contain fewer typos than the published versions.) Last updated: circa 2015.

**Random walks:**

- Some arithmetic properties of short random walk integrals, (with J. M. Borwein, D. Nuyens and A. Straub),
*Ramanujan Journal*26 (2011), 109-132 (PDF) - Three-step and four-step random walk integrals, (with J. M. Borwein and A. Straub),
*Experimental Mathematics*22 (2013), 1-14 (PDF) - Densities of short uniform random walks, (with J. M. Borwein, A. Straub, W. Zudilin and an appendix by D. Zagier),
*Canadian Journal of Mathematics*64 (2012), 961-990 (PDF)

**Series for 1/pi:**

- Legendre polynomials and Ramanujan-type series for 1/pi, (with H. H. Chan and W. Zudilin),
*Israel Journal of Mathematics*194 (2013), 183-207 (PDF) - Generating functions of Legendre polynomials: a tribute to Fred Brafman, (with W. Zudilin),
*Journal of Approximation Theory*164 (2012), 488-503 (PDF) - Complex series for 1/pi, (with H. H. Chan and W. Zudilin),
*Ramanujan Journal*29 (2012), 135-144 (PDF) - Series for 1/pi Using Legendre’s Relation,
*Integral Transforms and Special Functions*25 (2014), 1-14 (PDF) - Hypergeometric generating functions and series for 1/pi,
*Communications in Computer Algebra*47 (2013), 114-115

**Elliptic integrals:**

- Moments of Ramanujan’s generalized elliptic integrals and extensions of Catalan’s constant, (with D. Borwein, J. M. Borwein and M. L. Glasser),
*Journal of Mathematical Analysis and Applications*384 (2011), 478-496 - Log-sine evaluations of Mahler measures II, (with D. Borwein, J. M. Borwein and A. Straub),
*Integers*12A (2012), #A5 (PDF) - Moments of products of elliptic integrals,
*Advances in Applied Mathematics*48 (2012), 121-141 (PDF) - Moments of elliptic integrals and critical
*L*-values, (with M. Rogers and I. J. Zucker),*Ramanujan Journal (2014), to appear*(PDF) - Integrals of
*K*and*E*from lattice sums, (with I. J. Zucker),*Ramanujan Journal**(2015),*(PDF)*to appear*

**Multiple zeta values:**

- Some notes on weighted sum formulae for double zeta values,
*Number Theory and Related Fields, Springer Proceedings in Mathematics & Statistics*43 (2013), 361-379 (PDF)

**Grants:**

- Principle investigator, SUTD Start-up Research Grant (project no. SRG ESD 2013 058), 2013 – 2016.