Web4 feb. 2024 · Expression of the root number for Maass forms Take a holomorphic cusp newform, say f ∈ S k ( N) n e w, for a squarefree level N. It is an eigenvalue of the Atkin-Lehner operator, and this feature allows to express its root number as $$\... nt.number-theory modular-forms automorphic-forms l-functions maass-forms Desiderius Severus … WebMaass cusp forms are very similar to holomorphic cusp forms of weight $k \geq 2$: they have a basis of Hecke eigenforms to which one can associate $L$-functions that are …
GL(3) L-functions - IV - Annals of Mathematics
Web5 dec. 2016 · Maass cusp form symmetric power L -function AMSC: 11F30, 11F11, 11F66 Figures References Vol. 13, No. 05 Metrics History Received 1 March 2016 Accepted 6 June 2016 Published: 5 December 2016 Fourier coefficients Maass cusp form symmetric power L-function PDF download Web11 aug. 2008 · Let f be a Hecke–Maass cusp form of eigenvalue λ and square-free level N . Normalize the hyperbolic measure so that vol (Y 0 (N)) = 1 and the form f such that … tibetan traditions
Subconvexity bound for $\mathrm{GL(3)} \times \mathrm{GL(2)}
Web18 feb. 2024 · We prove an explicit formula for the Petersson norms of some normalized generic cuspidal newforms on ${\rm GSp}_4$ whose archimedean components belong … Web18 feb. 2024 · We prove an explicit formula for the Petersson norms of some normalized generic cuspidal newforms on ${\rm GSp}_4$ whose archimedean components belong to either discrete series representations or... Web5 dec. 2016 · Let ϕ be a Hecke–Maass cusp form, and a ϕ ( n) be its n th Fourier coefficient at the cusp infinity. In this paper, we are interested in the estimation on sums. ∑ n ≤ x a … thelemonadeway