Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
[D1] Ch. Deninger, On the Γ-factors attached to motives, Inv. Math. 104 (1991), 245–261.
[D2] Ch. Deninger, Local L-factors of motives and regularized determinants, Inv. Math. 107 (1992), 135–150.
[G-J] Gelbart, S. and Jacquet, H. A relation between automorphic representations of GL(2) and GL(3), Ann. Sci. Ecole Normale Sup. 4e série. 11 (1978), 471–552.
[K] Kurokawa, N. Multiple zeta functions: an example, in Zeta Functions in Geometry, ed. Kurokawa, N. and Sunada, T., Advanced Studies in Pure Mathematics 21 (1992), 219–226.
[M] Manin, Y. Lectures on zeta functions and motives, to appear in Astérisque.
[R] Rankin, R. Contributions to the theory of Ramanujan's function τ(n) and similar arithmetic functions, I and II, Proc. Cambridge Phil. Soc. 35 (1939), 351–356, 357–372.
[S1] Selberg, A. Bemerkungen über eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist, Arch. Math. Naturvid. 43 (1940), 47–50.
[S2] Selberg, A. Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc. 20 (1956), 47–87.
[W] Weil, A. Sur les ‘formules explicites’ de la théorie des nombres premiers, Commn. Sém. Math. Univ. Lund 1952, Tome supplémentaire (1952), 252–265.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag
About this chapter
Cite this chapter
Goldfeld, D. (1994). A spectral interpretation of Weil's explicit formula. In: Explicit Formulas for Regularized Products and Series. Lecture Notes in Mathematics, vol 1593. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074041
Download citation
DOI: https://doi.org/10.1007/BFb0074041
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-58673-9
Online ISBN: 978-3-540-49041-8
eBook Packages: Springer Book Archive