This book presents a treatment of the theory of L-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands ...

Automorphic L-functions lie at the confluence of number theory, harmonic analysis and representation theory. These functions generalise the classical Riemann zeta function and are constructed from ...

In this paper, we extend the Li coefficients for automorphic 𝐿-functions and the Li criterion for the Riemann hypothesis to yield a necessary and sufficient condition for the existence of zero-free ...

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 ...