Maass operators and van der Pol-type identities for Ramanujan's tau function
Mellin transforms of Whittaker functions on GL(4, R) and GL(4, C).
Modular parametrizations of certain elliptic curves
Kaneko and Sakai (2013) recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a particular differential equation involving modular forms and Ramanujan-Serre differential operator. In this paper, we study certain properties of the modular parametrization associated to the elliptic curves over ℚ, and as a consequence we generalize and explain some of their findings.
Modularity of an odd icosahedral representation
In this paper, we prove that the representation from in GL with image in PGL corresponding to the example in [B-K] is modular. This representation has conductor and determinant ; its modularity was not yet proved, since this representation does not satisfy the hypothesis of the theorems of [B-D-SB-T] and [Tay2].
Multiple Dirichlet series over rational function fields