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

A monograph on chemical lattice sums, coauthored with J. M. Borwein, M. L. Glasser, R. C. McPhedran and I. J. Zucker, published by Cambridge University Press.

**Some papers:**

*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:*

- Holonomic alchemy and series for 1/pi, (with S. Cooper and W. Zudilin),
*Alladi60*(2017), 179-205 (PDF) - 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*37 (2015), 113-130 (PDF) - Integrals of
*K*and*E*from lattice sums, (with I. J. Zucker),*Ramanujan Journal*40

*Double sums:*

- 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) - Some double sums involving ratios of binomial coefficients arising from urn models, (with D. Stenlund),
*Journal of Integer Sequences*22 (2019), Article 19.1.8

**Some presentations:**

- (2017) MATRIX workshop, Australia: Ramanujan-type series for 1/pi
- (2016) INRIA, France: Some recent advances in Ramanujan-type series for 1/pi
- (2015) OPSFA13, USA: Integrals involving powers of K
- (2014) npqr2 international workshop: Some new series for 1/pi
- (2013) SUTD: A case study in experimental mathematics (PDF)
- (2013) NUS: Integrals involving products of elliptic integrals
- (2013) ISSAC 2013, USA: Hypergeometric generating functions and series for 1/pi
- (2013) Newcastle: Elliptic integrals, L-values and lattice sums
- (2012) CARMA seminar: Elementary proofs for sums of double zeta values (PDF)
- (2011) AustMs 11 (B. H. Neumann Prize): Legendre polynomials and pi (PDF)
- (2011) AustMs 11: Logsin integrals and other topics in experimental mathematics (keynote on behalf of J. M. Borwein)
- (2011) CARMA seminar: Legendre polynomials, modularity, and pi
- (2010) AustMs 10: Densities of random walks (PDF)
- (2010) Workshop on experimentation and computation in number theory: Number theoretical aspects of random walks (PDF)
- (2010) CARMA seminar: Moments of products of elliptic integrals (PDF)
- (2009) Newcastle: Random walk integrals (PDF)