Cusp forms on the exceptional group of type

On the Coeecients of Cusp Forms

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

On the Symmetric Powers of Cusp Forms on Gl(2) of Icosahedral Type

In this Note, we prove three theorems. Throughout, F will denote a number field with absolute Galois group GF = Gal(F̄ /F ), and the adele ring AF = F∞ × AF,f . When ρ is an irreducible continuous 2– dimensional C representation of GF , one says that it is icosahedral, resp. octahedral, resp. tetrahedral, resp. dihedral when the projective image of ρ(GF ) is A5, resp. S4, resp. A4, resp. D2m for...

Families of Cusp Forms

1. Families of cusp forms and the local equidistribution problem 2 2. Families of L-functions 6 3. Analogy with sieve 8 4. Examples of local equidistribution 8 5. Families of cusp forms according to Sarnak’s letter 11 6. Families of L-functions according to Conrey, Farmer, Keating, Rubinstein and Snaith 13 7. Direct consequences of strong local equidistribution 14 8. Quantitative local equidist...

Ramanujan - type results for Siegel cusp forms of degree 2

A result of Chai–Faltings on Satake parameters of Siegel cusp forms together with the classification of unitary, unramified, irreducible, admissible representations of GSp4 over a p-adic field, imply that the local components of the automorphic representation of GSp4 attached to a cuspidal Siegel eigenform of degree 2 must lie in certain families. Applications include estimates on Hecke eigenva...