The sign changes of Fourier coefficients of Eisenstein series
نویسندگان
چکیده
منابع مشابه
On Fourier Coefficients of Eisenstein Series
In this paper we wish to prove that under certain conditions the Fourier coefficients of the Eisenstein series for an arithmetic group acting on a tube domain are all rational numbers. Let G be a connected, simply-connected, semisimple, and almost Q-simple linear algebraic group defined over the rational number field Q. Let R be the real number field. Then GR is connected, and we assume that if...
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Following Wolpert, we find a set of asymptotic relations among the Fourier coefficients of real-analytic Eisenstein series. The relations are found by evaluating the integral of the product of an Eisenstein series φir with an exponential factor along a horocycle. We evaluate the integral in two ways by exploiting the automorphicity of φir ; the first of these evaluations immediately gives us on...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2014
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-013-9552-5