p-Adic Congruences for Cycle Integrals Associated to Elliptic Curves with Complex Multiplication.
p-adic deformations of cohomology classes of subgroups of GL (N,Z).
p-adic Distributions Associated to Heegner Points on Modular Curves.
p-adic L-functions and p-adic periods of modular forms.
p-Adic L-Functions for CM Fields.
p-adic L-functions for GL(2n).
p-adic measures attached to automorphic representations of GL (3).
p-adic measures on Galois groups.
p-adic periods and modular symbols of elliptic curves of prime conductor.
Paires duales réductives en caractéristique 2
Parabolic, hyperbolic and elliptic Poincaré series
Paramodulare Gruppen
Parité des valeurs propres des opérateurs de Hecke.
Parity of the partition function in arithmetic progressions.
Partial fraction decompositions and Kummer congruences for the normalized coefficients of the Laurent expansion of elliptic functions parametrizing a nonsingular cubic curve in Hessian normal form.
Partitions and indefinite quadratic forms.
Patterson measure and ubiquity.
Perfect powers expressible as sums of two fifth or seventh powers
We show that the generalized Fermat equations with signatures (5,5,7), (5,5,19), and (7,7,5) (and unit coefficients) have no non-trivial primitive integer solutions. Assuming GRH, we also prove the non-existence of non-trivial primitive integer solutions for the signatures (5,5,11), (5,5,13), and (7,7,11). The main ingredients for obtaining our results are descent techniques, the method of Chabauty-Coleman, and the modular approach to Diophantine equations.
Period functions for Maass wave forms. I.
Period invariants of Hilbert modular forms, II