Automorphic Forms and L-Functions for the Group Gl(n, R)

By Dorian Goldfeld, K. Broughan. 2006

321 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

THE CIRCLE METHOD AND BOUNDS FOR L-FUNCTIONS - III: t-ASPECT SUBCONVEXITY FOR GL(3) L-FUNCTIONS (2013, methodology): “where t < K < t is a parameter which will be chosen optimally later, and U is a smooth function supported in [1/2, 5/2], with U(x) = 1 for x ∈ [1, 2] and U (j) j 1.”
The Central value of the Rankin–Selberg L-Functions (2008, background): “ ...m n−1,m ′ 1 ...m ′ − ) = 1,and A(m,1,...,1)A(m 1,...,m n−1) = X Qn l=1 c l=m c1|m1, c2|m2, ..., c n−1|m n−1 A m 1c n c 1 , m 2c 1 c 2 ,..., m n−1c n−2 c n−1 . The above material is taken from [Go]. Our main interests in this paper are the cases when n= 2 and 3. For n= 2,one can identify h2 wit”
On the Voronoĭ formula for GL(n) (2013, methodology): “The method of [12] relies on an explicit description of Maass forms on GL(n,Z)\GL(n,R) which is developed in the book [13].”
The circle method and bounds for L-functions---II: Subconvexity for twists of GL(3) L-functions (2012, background): “Suppose π is a Maass form of type (ν1,ν2) for SL(3,Z) which is an eigenfunction of all the Hecke operators with Fourier coefficients λ(m1,m2), normalized so that λ(1,1) = 1 (for details see Goldfeld’s book [5]).”