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L-functions and character sums for quadratic forms (I)

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Publication:5595269
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DOI10.4064/aa-14-1-35-50zbMath0198.37801OpenAlexW1512565875MaRDI QIDQ5595269

H. M. Stark

Publication date: 1968

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/204846

zbMATH Keywords

number theory



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Higher moments of certain \(L\)-functions on the critical line, Hardy's theorem for zeta-function of quadratic forms, The minima of quadratic forms and the behavior of Epstein and Dedekind zeta functions, The modularity of Siegel's zeta functions, Certain extensions of results of Siegel, Wilton and Hardy, The fundamental theorem of prehomogeneous vector spaces modulo $p^m$ (With an appendix by F. Sato), The Functional Equation of Some Dirichlet Series, Elliptic modular forms arising from zeta functions in two variables attached to the space of binary Hermitian forms, Complete asymptotic expansions associated with Epstein zeta-functions. II, Converse theorems for automorphic distributions and Maass forms of level \(N\), A generalization of Stark's theorem, A simple proof of the functional equation of a certain L-function, The determination of Gauss sums



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