Symmetric cube L-functions for GL_2 are entire

Freydoon Shahidi; Henry H. Kim

arxiv: math/9909198 · v1 · submitted 1999-09-01 · 🧮 math.NT · math.RT

Symmetric cube L-functions for GL₂ are entire

Henry H. Kim , Freydoon Shahidi This is my paper

classification 🧮 math.NT math.RT

keywords l-functionssymmetricarbitraryattachedawaitedcomplexcubecusp

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The purpose of this paper is to prove the long awaited holomorphy of the third symmetric power L-functions attached to nonmonomial cusp forms of GL_2 over an arbitrary number field on the whole complex plane.

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Symmetric cube L-functions for GL₂ are entire

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