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Siegel zeros of Eisenstein series

Joseph Hundley
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Abstract

If E(z,s) is the nonholomorphic Eisenstein series on the upper half plane, then for all y sufficiently large, E(z,s) has a "Siegel zero." That is E(z,β)=0 for a real number βjust to the left of one. We give a generalization of this result to Eisenstein series formed with real valued automorphic forms on a finite central covering of the adele points of a connected reductive algebraic group over a global field.

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Joseph Hundley. 2005-12-05. Siegel zeros of Eisenstein series. https://arxiv.org/abs/math/0512092

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