1 citations · 4 across the 5 of their papers we have counts for
5 papers
Recurrence relations satisfied by the traces of singular moduli for
Bumkyu Cho
We compute the divisor of the modular equation on the modular curve and then find recurrence relations satisfied by the modular traces of the Hauptm…
On the -equivalence of binary quadratic forms
Bumkyu Cho
For a congruence subgroup , we define the notion of -equivalence on binary quadratic forms which is the same as proper equivalence if . We develo…
On the number of representations of integers by quadratic forms with congruence conditions
Bumkyu Cho
We characterize the generating function of the number of representations described in the title in terms of the theory of modular forms. Appealing to this characterization we obtai…
On harmonic weak Maass forms of half integral weight
Bumkyu Cho, YoungJu Choie
We show that certain space of vector valued harmonic weak Maass forms of half integral weight is isomorphic to a space of scalar valued ones whose Fourier coefficients are supporte…
Zagier duality for harmonic weak Maass forms of integral weight
Bumkyu Cho, YoungJu Choie
We show the existence of "Zagier duality" between vector valued harmonic weak Maass forms and vector valued weakly holomorphic modular forms of integral weight. This duality phenom…