منابع مشابه
Eisenstein Series*
group GC defined over Q whose connected component G 0 Q has no rational character. It is also necessary to suppose that the centralizer of a maximal Q split torus of G0C meets every component of GC. The reduction theory of Borel applies, with trivial modifications, to G; it will be convenient to assume that Γ has a fundamental set with only one cusp. Fix a minimal parabolic subgroup P 0 C defin...
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(m,n)6=(0,0) y |mz+n|2s 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 β 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 al...
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Let l ≥ 3. Using the moduli interpretation, we define certain elliptic modular forms of level Γ(l), which make sense over any field k in which 6l 6= 0 and that contains the lth roots of unity. Over the complex numbers, these forms include all holomorphic Eisenstein series on Γ(l) in all weights, in a natural way. The graded ring Rl that is generated by our special modular forms turns out to be ...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2012
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2012.260.665