Rankin-Selberg method for Siegel cusp forms
نویسندگان
چکیده
منابع مشابه
Resonance sums for Rankin–Selberg products of SLm(Z) Maass cusp forms
a r t i c l e i n f o a b s t r a c t Let f and g be Maass cusp forms for SL m (Z) and SL m (Z), respectively, with 2 ≤ m ≤ m. Let λ f ×g (n) be the normalized coefficients of L(s, f × g), the Rankin–Selberg L-function for f and g. In this paper the asymptotics of a Voronoi-type summation formula for λ f ×g (n) are derived. As an application estimates are obtained for the smoothly weighted aver...
متن کاملThe Rankin-Selberg method for automorphic distributions
We recently established the holomorphic continuation and functional equation of the exterior square L-function for GL(n,Z), and more generally, the archimedean theory of the GL(n) exterior square L-function over Q. We refer the reader to our paper [15] for a precise statement of the results and their relation to previous work on the subject. The purpose of this note is to give an account of our...
متن کاملSubconvexity for Rankin-selberg L-functions of Maass Forms
This is a joint work with Yangbo Ye. We prove a subconvexity bound for Rankin-Selberg L-functions L(s, f⊗g) associated with a Maass cusp form f and a fixed cusp form g in the aspect of the Laplace eigenvalue 1/4 + k2 of f , on the critical line Res = 1/2. Using this subconvexity bound, we prove the equidistribution conjecture of Rudnick and Sarnak on quantum unique ergodicity for dihedral Maass...
متن کاملOn Rankin-cohen Brackets for Siegel Modular Forms
We determine an explicit formula for a Rankin-Cohen bracket for Siegel modular forms of degree n on a certain subgroup of the symplectic group. Moreover, we lift that bracket via a Poincaré series to a Siegel cusp form on the full symplectic group.
متن کاملRankin-Cohen Operators for Jacobi and Siegel Forms
For any non-negative integer v we construct explicitly ⌊v2⌋+1 independent covariant bilinear differential operators from Jk,m × Jk′,m′ to Jk+k′+v,m+m′ . As an application we construct a covariant bilinear differential operator mapping S (2) k ×S (2) k′ to S (2) k+k′+v. Here Jk,m denotes the space of Jacobi forms of weight k and index m and S (2) k the space of Siegel modular forms of degree 2 a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1990
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000003226