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42
PETERSSON NORMS OF NOT NECESSARILY CUSPIDAL JACOBI MODULAR FORMS AND APPLICATIONS.pdf
PETERSSON NORMS OF NOT NECESSARILY CUSPIDAL JACOBI MODULAR FORMS AND APPLICATIONS
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70
201309.7467v2 Cuspidal part of an Eisenstein series restricted to an index 2 subfield.pdf
Let E be a quadratic extension of a number field F. Let E(g, s) be an Eisenstein series
on GL2(E), and let F be a cuspidal automorphic form on GL2(F). We will consider in this paper the
following automorphic integral:

This is in some sense the complementary case to the well-known Rankin-Selberg integral and the
triple product formula. We will approach this integral by Waldspurger’s formula. We will discuss
when the integral is automatically zero, and otherwise the L-function it represents. We will calculate
local integrals at some ramified places, where the level of the ramification can be arbitrarily large.
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70
201309.7467v1 Cuspidal part of an Eisenstein series restricted to an index 2 subfield.pdf
Let E be a quadratic extension of a number field F. Let E(g, s) be an Eisenstein series on GL2(E), and let f be a cuspidal automorphic form on GL2(F). We will consider in this paper the following automorphic integral: ∫_ZAGL2(F) \ GL2(AF) f(g)E(g,s) dg.This is in some sense the complementary case to the well-known Rankin-Selberg integral and the triple product formula. We will approach this integral by Waldspurger´s formula. We will discuss when the integral is automatically zero, and otherwise the L-function it represents. We will calculate local integrals at some ramified places, where the level of the ramification can be arbitrarily large.
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53
on the cuspidal representations of {rm gl}_2(f) of level 1 or 12 in the cohomology of the lubin-tate space mathcal{x}(π 2).pdf
on the cuspidal representations of ${rm gl}_2(f)$ of level 1 or 12 in the cohomology of the lubin-tate space $mathcal{x}(π^2)$
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43
Entirety of cuspidal Eisenstein series on loop groups - arXiv.pdf
arXiv:1304.4913v2[math.NT] 22 Mar 2016ENTIRETY CUSPIDALEISENSTEIN SERIES LOOPGROUPSHOWARDGARLAND, ST
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43
On the Genericity of Cuspidal Automorphic Forms of SO(2n 1) II....pdf
On the Genericity of Cuspidal Automorphic Forms of SO(2n 1) II…
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35
Perturbations from an Elliptic Hamiltonian of Degree Four II. Cuspidal Loop.pdf
Perturbations from an Elliptic Hamiltonian of Degree Four II. Cuspidal Loop
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38
Lower order terms in the 1-level density for families of holomorphic cuspidal newforms.pdf
Lower order terms in the 1-level density for families of holomorphic cuspidal newforms
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