Modular Forms Associated to Real Quadratic Fields.
Multiplier systems
ndependence of Modular Units on Tate Curves.
New results on Ramanujan's function
Newforms and Functional Equations.
Non-abelian number fields with very large class numbers
Nonanalytic automorphic integrals on the Hecke groups
1. Introduction. Since its genesis over a century ago in work of Jacobi, Riemann, Poincar ́e and Klein [Ja29, Ri53, Le64], the theory of automorphic forms has burgeoned from a branch of analytic number theory into an industry all its own. Natural extensions of the theory are to integrals [Ei57, Kn94a, KS96, Sh94], thereby encompassing Hurwitz’s prototype, the analytic weight 2 Eisenstein series [Hu81], and to nonanalytic forms [He59, Ma64, Sel56, ER74, Fr85]. A generalization in both directions...
Non-existence of singular cusp forms
Nonvanishing of L-functions and structure of Mordell-Weil groups.
Nullstellen von Eisensteinschen Reihen zur Modulgruppe.
On ...-Adic Representations Attached to Modular Forms.
On Certain Arithmetic Automorphic Forms for SU (1, q).
On certain Euler products for SU
On certain form and its Rankin-Selberg convolution
We consider to be the -function attached to a particular automorphic form on . We establish an upper bound for the mean square estimate on the critical line of Rankin-Selberg -function . As an application of this result, we give an asymptotic formula for the discrete sum of coefficients of .
On determination of GL₃ cusp forms
On exponential sums involving the Fourier coefficients of Maass wave forms.
On Hsiao's conjecture on Hecke groups.
On lifting of automorphic forms
On Maass Wave Forms and the Imaginary Quadratic Doi Â? Naganuma Lifting.
On Manin's conditional algorithm