Nearly ordinary deformations of irreducible residual representations
New examples of modular rigid Calabi-Yau threefolds.
The aim of this article is to present five new examples of modular rigid Calabi-Yau threefolds by giving explicit correspondences to newforms of weight 4 and levels 10, 17, 21 and 73.
New results on Ramanujan's function
Newforms of half-integral weight.
No -torsion on elliptic curves over cubic number fields
We complete our previous determination of the torsion primes of elliptic curves over cubic number fields, by showing that is not one of those.
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...
Nonvanishing theorems for L-functions of modular forms and their derivatives.
Note sur la sommation de la série de Lambert
Notes on the method of Frobenian functions with applications to Fourier coefficients of modular forms
Notiz über Modulargleichungen bei zusammengesetztem Transformationsgrad
Notiz zur Theorie der Modulfunctionen