1. CMB 2011 (vol 55 pp. 67)
||An $E_8$ Correspondence for Multiplicative Eta-Products|
We describe an $E_8$ correspondence for the multiplicative
eta-products of weight at least $4$.
Keywords:We describe an E8 correspondence for the multiplicative eta-products of weight at leastÂ 4.
Categories:11F20, 11F12, 17B60
2. CMB 2001 (vol 44 pp. 282)
||Hecke Operators on Jacobi-like Forms |
Jacobi-like forms for a discrete subgroup $\G \subset \SL(2,\mbb R)$
are formal power series with coefficients in the space of functions on
the Poincar\'e upper half plane satisfying a certain functional
equation, and they correspond to sequences of certain modular forms.
We introduce Hecke operators acting on the space of Jacobi-like forms
and obtain an explicit formula for such an action in terms of modular
forms. We also prove that those Hecke operator actions on Jacobi-like
forms are compatible with the usual Hecke operator actions on modular
3. CMB 1999 (vol 42 pp. 263)
||Mellin Transforms of Mixed Cusp Forms |
We define generalized Mellin transforms of mixed cusp forms, show
their convergence, and prove that the function obtained by such a
Mellin transform of a mixed cusp form satisfies a certain
functional equation. We also prove that a mixed cusp form can be
identified with a holomorphic form of the highest degree on an
Categories:11F12, 11F66, 11M06, 14K05