Siegel zeros of Eisenstein series

Details Siegel zeros of Eisenstein series Siegel zeros of Eisenstein series

2005-12-05

arxiv.org/abs/math/0512092v1

Mathematics

Number Theory

14 pages, LaTeX

Scientific paper

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,\beta)=0 for a real number \beta just 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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