Eisenstein Series and Their Applications
نویسندگان
چکیده
منابع مشابه
Integer Forms of Kac–moody Groups and Eisenstein Series in Low Dimensional Supergravity Theories
Abstract. Kac–Moody groups G over R have been conjectured to occur as symmetry groups of supergravities in dimensions less than 3, and their integer forms G(Z) are conjecturally U– duality groups. Mathematical descriptions of G(Z), due to Tits, are functorial and not amenable to computation or applications. We construct Kac–Moody groups over R and Z using an analog of Chevalley’s constructions ...
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Kac–Moody groups G over R have been conjectured to occur as symmetry groups of supergravities in dimensions less than 3, and their integer forms G(Z) are conjecturally U– duality groups. Mathematical descriptions of G(Z), due to Tits, are functorial and not amenable to computation or applications. We construct Kac–Moody groups over R and Z using an analog of Chevalley’s constructions in finite ...
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Eisenstein series play a critical role in number theory. For two hundred years they have been an essential tool in the analysis of automorphic L-functions and in studying properties of quadratic forms in one and several variables. The construction is clear and straightforward, while their properties are sometimes very surprising. The arithmetic of their Fourier coefficients, and their analytic ...
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تاریخ انتشار 2015