# Publication List (not all articles are available)

- New proofs of Ramanujan's partition identities for moduli 5 and 7. Journal of Number Theory, 53, (1995), 144-159.
- Some values for the Rogers-Ramanujan continued fraction. Canadian Journal of Mathematics, 20, (1995), 1-18. (Joint paper with B. C. Berndt.)
- Ramanujan's explicit values for the classical theta-function. Mathematika, 42, (1995), 278-294. (Joint paper with B. C. Berndt.)
- On Ramanujan's cubic continued fraction. Acta Arithmetica, 73, no. 4, (1995), 343--355.
- Ramanujan's class invariants and cubic continued fraction. Acta Arithmetica, 73, no. 1, (1995), 67--85. (Joint paper with B. C. Berndt, and L.-C. Zhang.)
- On the equivalence of Ramanujan's partition identities and a connection with the Rogers-Ramanujan continued fraction. Journal of Mathematical Analysis and Applications, 198, (1996), 111--120.
- Explicit evaluations of the Rogers-Ramanujan continued fraction. Journal fur die reine und angewandte Mathematik (Crelle) 480, (1996), 141--159. (Joint paper with B. C. Berndt, and L.-C. Zhang)
- On Ramanujan-Gordon Quadratic Continued Fraction. The Ramanujan Journal. 1, (1997), 75–90. (Joint paper with S.-S. Huang)
- Ramanujan’s class invariants with applications to the values of q-continued fractions and theta functions. Fields Institute Communications, 14, (1997), 37–53. (Joint paper with B.C. Berndt, and L.-C. Zhang)
- Ramanujan’s class invariants, Kronecker’s Limit Formula, and Modular Equations. Transactions of the AMS. 349, (1997), no. 6, 2125–2173. (Joint paper with B. C. Berndt, and L.-C. Zhang)
- Ramanujan’s singular moduli. The Ramanujan Journal. 1, (1997), 53–74 (Joint paper with B. C. Berndt, and L.-C. Zhang)
- Ramanujan’s Remarkable Product of Theta-functions. Proceedings of the Edinburgh Mathematical Society. 40 (1997), Part 3, 583–612. (Joint paper with B. C. Berndt, and L.-C. Zhang)
- Ramanujan's association with radicals in India. Amer. Math. Monthly. 104, (1997), 913--919 (Joint work with B. C. Berndt and L.-C. Zhang)
- Ramanujan's modular equations and the Atkin-Lehner Involutions. Israel Journal of Mathematics. 103, (1998), 1--16 (Joint paper with M.-L. Lang)
- On Ramanujan's transformation formula for $_2F_1(1/3,2/3;1;z).$ Mathematical Proceedings of the Cambridge Philosophical Society. 124, (1998), 193-204.
- Ramanujan's class invariants and Watson's empirical process. Journal of London Mathematical Society, series 2, 57, (1998), 545-561.
- Notes on Ramanujan's Singular Moduli. The Proceedings of the Fifth Conference of the Canadian Number Theory Association, edited by R. Gupta and K.S. Williams, (1998), 7-16. (Joint paper with B.C. Berndt).
- Radicals and units in Ramanujan's work. Acta Arithmetica. 87, no. 2 (1998), 145-158. (Joint work with B.C. Berndt and L.C. Zhang)
- Eisenstein Series and $\sum_{m,n=-\infty}^\infty q^{m^2+mn+2n^2}$. Proceedings of the American Mathematical Society. 127, no. 6, (1999), 1735-1744. (Joint work with Y. L. Ong)
- The Rogers-Ramanujan continued fraction. Journal of Computational and applied mathematics. 105, (1999), 9-24. (Joint work with B.C. Berndt, S.S. Huang, S.Y. Kang, J. Sohn and S.H. Son )
- On explicit evaluations of the Rogers-Ramanujan continued fraction. Contemporary Mathematics (AMS), 236, (1999), 127-136. (Joint work with V. Tan)
- Ramanujan and the Modular $j$--invariant. Canadian Mathematical Bulletin, 42, no. 4, (1999), 427-440. (Joint work with B. C. Berndt)
- Cubic modular equations and new Ramanujan-type series for $1/\pi$. Pacific J. Math. 192, (2000), 219-238. (Joint work with W.C. Liaw)
- On Russell-type modular equations. The Canadian Journal of Mathematics, 52 ,(2000), 31-46. (Joint work with W.C. Liaw)
- Incomplete elliptic integrals in Ramanujan's Lost Notebook. Contemporary Mathematics (AMS), 254, (2000), 79-126: Proceedings of a conference in honour of Professor Richard Askey. (Joint work with B.C. Berndt and S.S. Huang)
- Eisenstein Series in Ramanujan's Lost Notebook. The Ramanujan Journal, 4, no. 1 (2000), 81-114. (Joint work with B.C. Berndt, J.B. Sohn and S.H. Son)
- A page on Eisenstein Series and approximations to $\pi$ from Ramanujan's Lost Notebook. Illinois J. Math., 45, no.1 (2001), 75-90. (Joint work with B.C. Berndt)
- On Ramanujan's quartic theory of elliptic functions. J. Number Theory, vol. 88, no. 1, (2001), 129-156. (Joint work with B.C. Berndt and W.C. Liaw)
- Ramanujan's class invariant $\lambda_n$ and a new class of series for $1/\pi$. J. London Math. Soc., 64, no.1, (2001), 93-106. (Joint work with W.C. Liaw and V. Tan)
- A certain quotient of eta-functions found in the Lost Notebook. Pacific J. Math., vol. 202, no. 2, (2002), 267-304. (Joint work with B.C. Berndt, S.Y. Kang and L.C. Zhang)
- Ramanujan's elliptic functions to alternative bases and approximations to $\pi$. Number Theory for the Millennium I (Proceedings of the Millennial Number Theory Conference, Champaign-Urbana, Illinois, May 2000), Bruce Berndt, et.al., editors, A.K. Peters Ltd, 2002.
- New Ramanujan-Kolberg type identities. Mathematical Research Letters, 9, (2002), 801-811. (Joint work with H. Hahn, R.P. Lewis, S.L. Tan)
- Two quadratic iterations to $\pi$ associated with elliptic functions to alternative bases. Trans. Amer. Math. Soc. 355, (2003), 1505-1520. (Joint work with K.S. Chua and P. Sole)
- Cubic Singular Moduli, Ramanujan's class invariant $\lambda_n$ and the explicit Shimura Reciprocity Law. Pacific J. Math., 208, (2003) , no. 1, 23-37.(Joint work with A. Gee and V. Tan).
- A Quasi-theta Product in Ramanujan's Lost Notebook. Math. Proc. Camb. Phil. Soc., 135, (2003), p. 11-18. (Joint work with B.C.Berndt and Alexandru Zaharescu)
- Analogues of Jacobi's inversion formula for the incomplete elliptic integral of the first kind. Advances in Mathematics, 174, (2003), 69-88. (Joint work with Z.G. Liu)
- 7-modular lattices and a septic base Jacobi identity. J. Number Theory, 99, (2003), 361-372. (Joint work with K.S.Chua and P.Sole)
- Representations of integers as sums of 32 squares. The Ramanujan Journal, 7, (2003), 79-90.(Joint work with K.S.Chua)
- Partition identities and Congruences associated with the Fourier coefficients of the Euler products. Journal of Computational and Applied Math., 160 (2003) 69-75. (Joint work with R.P. Lewis)
- Domb's numbers and Ramanujan-Sato type series for $1/\pi$. Advances in Math., 186 (2004) 396-410 (with S.H. Chan and Z.G. Liu).
- Cranks and dissections in Ramanujan's Lost Notebook. J. Combin. Theory Ser. A 109 (2005), no. 1, 91--120, (with B.C. Berndt, S.H. Chan and W.C. Liaw).
- Ramanujan and cranks. in Theory and applications of special functions, 77--98, Dev. Math., 13, Springer, New York, 2005, (with B.C. Berndt, S.H. Chan and W.C. Liaw).
- Recent progress in the study of the representations of integers as sums of squares. Bull. of the London Math. Soc. 37 (2005), 818-826. (with Christian Krattenthaler)
- Elliptic functions and the Quintuple, Hirschhorn and Winquist product identities. International Journal of Number Theory 1 (2005), 33-43. (with Zhi-Guo Liu and Say Tiong Ng).
- Circular summation of theta functions in Ramanujan's lost notebook. Journal of Mathematical Analysis and applications 316 (2006), 628-641. (with Zhi-Guo Liu and Say Tiong Ng).
- The $26^{\text{th}}$ power of Dedekind's $\eta$ function Advances of Mathematics 207 (2006), 532-543. (with S. Cooper and Pee Choon Toh).
- Elliptic functions to the quintic base. Pacific Journal of Mathematics 226 (2006), no.1, 53-64. (with Zhi-Guo Liu).
- Ramanujan's Eisenstein series and powers of Dedekind's eta-function Journal of the London Mathematical Society, (2) 75 (2007), no. 1, 225-242. (with S. Cooper and P.C. Toh)
- Ramanujan's cubic continued fraction revisited, Acta Arithmetica 126 (2007), no. 4, 305-313. (with Kok Ping Loo)
- Triple product identity, quintuple product identity and Ramanujan's differential equations for the classical Eisenstein series Proc. of the Amer. Math. Soc., 135 (2007), no. 7, 1987-1992.
- The Rogers-Ramanujan continued fraction and a quintic iteration for $1/\pi$ Proc. of the Amer. Math. Soc., 135 (2007), no. 11, 3417-3424. (with Shaun Cooper and W.C. Liaw)
- Powers of theta functions. Pacific J. Math. 235 (2008), no. 1, 1--14. (with Shaun Cooper)
- Eisenstein series and theta functions to the septic base. J. Number Theory 128 (2008), no. 3, 680--699. (with Shaun Cooper)
- A squares as a sum of odd number of odd squares. Acta Arithmetica 132, no. 4 (2008), 359-371. (with Shaun Cooper and Wen-Chin Liaw)
- On $\eta^3(a\tau)\eta^3(b\tau)$ with $a+b=8$. J. Aust. Math. Soc., 84 (2008), 301-313. (with Shaun Cooper and Wen-Chin Liaw)
- The Almkvist-Zudilin numbers and new series for $1/\pi$. Mathematical Research Letters, 16 (2009), no. 3, 405-420. (with H.A. Verrill)
- The Rogers-Ramanujan continued fraction and a new Eisenstein series identity. J. Number Theory, 129 (2009), 1786-1797. (with S.H. Chan and Z.G. Liu)
- Ramanujan's series for $1/\pi$: A survey. Math. Student 2007, Special Centenary Volume, 1--24 (2008) AND Amer. Math. Monthly 116 (2009), no. 7, 567--587. (with N.D. Baruah and B.C. Berndt)
- Congruences satisfied by Apery-like numbers. International J. of Number Theory, Volume: 6, Issue: 1(2010) pp. 89-97. (with S.Cooper and F.Sica)
- New representations for Apery-like sequences Mathematika, 56 (2010) , pp 107-117. (with W. Zudilin)
- Supercongruences satisfied by coefficients of $_2F_1$ hypergeometric series Annales des sciences mathematiques du Quïbec (special issue dedicated to P. Ribenboim), vol. 34, no.1, (2010), 25--36. (with A. Kontogeorgis, C. Krattenthaler and R. Osburn)
- A supercongruence motivated by the Legendre family of elliptic curves, Mathematical Notes, vol 88, no. 4 (2010), 599--602. Also appeared in Russian in Matematicheskie Zemetki 2010, vol 88, no. 4, 620-624. (with Ling Long, W. Zudilin)
- New Ramanujan type partition identities. Journal of Number Theory, vol. 130 (2010), 1898-1913. (with Pee Choon Toh)
- Cranks-really, the final problem. The Ramanujan Journal, vol. 23 (2010), no. 1--3, 3-15. (with B.C. Berndt, S.H. Chan, W.C. Liaw)
- The Cubic Analogue of the Jacobsthal sum. Amer. Math. Monthly, vol 118 (2011), no. 4, 316-326. (with Ling Long, YiFan Yang)
- New analogues of Clausen's identities arising from the theory of modular forms. Advances in Mathematics, vol. 228 (2011), issue 2, 1294-1314. (with Y. Tanigawa, W. Zudilin and YiFan Yang)
- Rational analogues of Ramanujan's series for $1/\pi$. Math. Proc. Camb. Phil. Soc., vol. 153 (2012), issue 2, 361-383. (with S. Cooper)
- Two Dirichlet series found on page 196 of Ramanujan's Lost Notebook Math. Proc. Camb. Phil. Soc., Math. Proc. Camb. Phil. Soc., vol. 153 (2012), issue 2, 341-360. (with B.C. Berndt and Y. Tanigawa)
- What is your birthday elliptic curves? Finite fields and its applications, vol. 18 (2012), 1232-1241. (with E. Konstantinou, A. Kontogeorgis, C. H. Tan)
- Complex series for $1/\pi$ Ramanujan J. vol. 29, Issue 1 (2012), 135-144. (with J. Wan and W. Zudilin)
- The Bailey-Brafman identity and its analogues. Journal of Mathematical Analysis and Applications, vol. 399 (2013), 12-16.
- Legendre polynomials and Ramanujan-type series for $1/\pi$. Israel J. Math. 194 (2013), no. 1, 183-207. (with J. Wan and W. Zudilin)
- A generalization of a Brafman-Bailey type identity. Proc. Amer. Math. Soc., vol. 143, no.1 (2015), 185-195. (with Y. Tanigawa)
- Analogues of the Brent-Salamin algorithm for evaluating $\pi$. The Ramanujan Journal (to appear)
- Theta series associated with certain positive definite binary quadratic forms. Acta Arithmetica (to appear) (with Pee Choon Toh)
- An alternative transformation formula for the Dedekind $\eta$-function via the Chinese Remainder Theorem. International Journal of Number Theory (to appear) (with Teoh Guan Chua)