Academic Profile : Faculty

Assoc Prof Chan Song Heng.jpg picture
Assoc Prof Chan Song Heng
Associate Professor, School of Physical & Mathematical Sciences - Division of Mathematical Sciences
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Journal Articles
(Not applicable to NIE
staff as info will be
pulled from PRDS)
Highly Cited:
Chan, H. H., Chan, S. H., & Liu, Z. (2004). Domb's numbers and Ramanujan–Sato type series for 1/π. Advances in Mathematics, 186(2), 396-410.

Chan, S. H. (2005). Generalized Lambert series identities. Proceedings of the London Mathematical Society, 91(3), 598-622.

Andrews, G. E., Chan, S. H., & Kim, B. (2013). The odd moments of ranks and cranks. Journal of Combinatorial Theory, Series A, 120(1), 77-91.

Chan, S. H. (2008). Some congruences for Andrews–Paule’s broken 2-diamond partitions. Discrete Mathematics, 308(23), 5735-5741.

Berndt, B. C., & Chan, S. H. (2007). Sixth order mock theta functions. Advances in Mathematics, 216(2), 771-786.

Berndt, B. C., Chan, S. H., Liu, Z. G., & Yesilyurt, H. (2004). A new identity for (q; q)∞ 10 with an application to Ramanujan's partition congruence modulo 11. The Quarterly Journal of Mathematics, 55(1), 13-30.

Berndt, B. C., Chan, H. H., Chan, S. H., & Liaw, W. C. (2005). Cranks and dissections in Ramanujan's lost notebook. Journal of Combinatorial Theory, Series A, 109(1), 91-120.

Chan, S. (2012). Congruences for Ramanujan's ϕ function. Acta Arithmetica, 2(153), 161-189.

Chan, S. H., Ho, T. P. N., & Mao, R. (2016). Truncated series from the quintuple product identity. Journal of Number Theory, 169, 420-438.

Chan, S. H., & Liu, Z. G. (2010). On a new circular summation of theta functions. Journal of Number Theory, 130(5), 1190-1196.

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Recent Publication:
Chan, H. H., Chan, S. H., Chen, K. J., & Huang, S. S. (2021). Fine’s function and partial theta function. Proceedings of the American Mathematical Society, 149(6), 2561-2572.

Chan, S. H., Mao, R., & Osburn, R. (2021). Variations of Andrews-Beck type congruences. Journal of Mathematical Analysis and Applications, 495(2), 124771.

Chan, S. H., Hong, N., Jerry, & Lovejoy, J. (2021). A mock theta function identity related to the partition rank modulo 3 and 9. International Journal of Number Theory, 17(02), 311-327.

Aygin, Z. S., & Chan, S. H. (2019). Combinations of Ranks and Cranks of Partitions Moduli 6, 9 and 12 and Their Comparison with the Partition Function. Annals of Combinatorics, 23(3), 489-509.

Chan, S. H., & Kim, B. (2018). On some double-sum false theta series. Journal of Number Theory, 190, 40-55.

Chan, Song Heng; Mao, Renrong. (2014). Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions. Advances in Mathematics, 258, 414-437.

Andrews, George E.; Chan, Song Heng; Kim, Byungchan. (2013). The odd moments of Ranks and Cranks. Journal of Combinatorial Theory, Series A, 120(1), 77--91.

Berndt, Bruce C.; Chan, Song Heng. (2007). Sixth order mock theta functions. Advances in Mathematics, 216(2), 770-786.

Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin. (2005). Cranks and dissections in Ramanujan's lost notebook. Journal of Combinatorial Theory, Series A, 109(1), 91-120.

Chan, Song Heng. (2005). Generalized Lambert series identities. Proceedings of the London Mathematical Society, 91(3), 598-622.
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