Effective Lower Bounds for L(1,) via Eisenstein Series
Abstract
We give effective lower bounds for L(1,) via Eisenstein series on 0(q) H. The proof uses the Maass-Selberg relation for truncated Eisenstein series and sieve theory in the form of the Brun-Titchmarsh inequality. The method follows closely the work of Sarnak in using Eisenstein series to find effective lower bounds for ζ(1+it).
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