豆丁网

23

The GL(3) mellin transform for twisted non-cuspidal forms of higher level.pdf

The GL(3) mellin transform for twisted non-cuspidal forms of higher level

• zhihuiguo1963
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33

cuspidal and noncuspidal robot manipulators.pdf

cuspidal and noncuspidal robot manipulators

• bhl008
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30

On a class of rational cuspidal plane curves.pdf

02430d69-9188-42da-a986-7755f17ffb5b

• qianjianli
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25

Reduction of cuspidal representations of and symmetric powers.pdf

Reduction of cuspidal representations of and symmetric powers

• 377102
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21

On cuspidal representations of general linear groups over….pdf

On cuspidal representations of general linear groups over…

• shuishugongxin520
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40

201304.4913 Entirety of cuspidal Eisenstein series on loop groups.pdf

In this paper, we prove the entirety of loop group Eisenstein series induced from cusp forms on the underlying finite dimensional group, by demonstrating their absolute convergence on the full complex plane. This is quite in contrast to the finite-dimensional setting, where such series only converge absolutely in a right half plane (and have poles elsewhere coming from L-functions in their constant terms). Our result is the Q-analog of a theorem of A. Braverman and D. Kazhdan from the function field setting, who previously showed the analogous Eisenstein series are finite sums.

• 数论天使
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26

Rational cuspidal curves with four cusps on Hirzebruch….pdf

Rational cuspidal curves with four cusps on Hirzebruch…

• shudaijinzji1314
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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.

• 数论天使
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