Automorphic forms and L-functions have long stood at the heart of modern number theory and representation theory, providing a profound link between symmetry, arithmetic, and spectral analysis.

If φ is a generic cubic metaplectic form on GSp(4), that is also an eigenfunction for all the Hecke operators, then corresponding to φ is an Euler product of degree 4 that has a functional equation ...

In a special case our unitary group takes the form $G = \{g \in \mathrm{GL}(p + 2, C)\mid^t\bar gRg = R\}$. Here $R = \begin{pmatrix}S & 0 & 0 \\ 0 & 0 & 1 \\ 0 & -1 ...

Ramanujan's famous congruence τ(p)≡1+p11(mod691) (for all primes p), where ∑τ(n)qn:=q∏(1−qn)24, is an example of a congruence involving the Hecke eigenvalues of a modular form, with a modulus coming ...