8 citations · 13 across the 6 of their papers we have counts for
6 papers
Multiplicative functions arising from the study of mutually unbiased bases
Heng Huat Chan, Berthold-Georg Englert
We embed the somewhat unusual multiplicative function, which was serendipitously discovered in 2010 during a study of mutually unbiased bases in the Hilbert space of quantum physic…
Fractional Powers of the Generating Function for the Partition Function
Heng Huat Chan, Liuquan Wang
Let be the coefficient of in the series expansion of . It is known that the partition function , which corresponds to the case when $k=-1…
Modular Forms and -colored Generalized Frobenius Partitions
Heng Huat Chan, Liuquan Wang, Yifan Yang
Let and be positive integers. Let denote the number of -colored generalized Frobenius partitions of and be the generating function of…
Wronskians of theta functions and series for
Alex Berkovich, Heng Huat Chan, Michael J. Schlosser
In this article, we define functions analogous to Ramanujan's function defined in his famous paper "Modular equations and approximations to ". We then use these new funct…
Supercongruences satisfied by coefficients of 2F1 hypergeometric series
Heng Huat Chan, Aristides Kontogeorgis, Christian Krattenthaler +1
Recently, Chan, Cooper and Sica conjectured two congruences for coefficients of classical 2F1 hypergeometric series which also arise from power series expansions of modular forms i…
Recent progress in the study of representations of integers as sums of squares
Heng Huat Chan, Christian Krattenthaler
In this article, we collect the recent results concerning the representations of integers as sums of an even number of squares that are inspired by conjectures of Kac and Wakimoto.…