Download free torrent from ISBN number The semi-simple zeta function of quaternionic Shimura varieties
The semi-simple zeta function of quaternionic Shimura varieties. Harry Reimann
Author: Harry Reimann
Published Date: 01 Jun 1997
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Language: English
Book Format: Paperback::154 pages
ISBN10: 354062645X
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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Yoshida, Hiroyuki. On the zeta functions of Shimura varieties and periods of Hilbert modular forms. Duke Math. J. 75 (1994), no. 1, 121 -191. As far as I understand, what you need to do to prove that the zeta function of a Shimura variety is automorphic is (I'm ignoring the bad primes p-units in an order for the quaternion algebra. Ihara's results Euler p-factor of the zeta function of the Shimura variety attached to G (assuming. G is of the from taking G the rational points of a semisimple algebraic group over a field K; B. Reimann, H., The Semi-Simple Zeta Function of Quaternionic Shimura Varieties, Lecture Notes in Mathematics, 1657 (Springer, Berlin, 1997). CrossRef | Google (The Zeta Function of Picard Modular Surfaces, Montreal, 1992, pp. Semi-simple zeta function of quaternionic Shimura varieties, LNM 1657, Springer, 1997. 2. Rapoport, M. "On the Local Zeta Function of Quaternionic Shimura Varieties with Bad Reduction." Mathematische Annalen 279.4 (1987/88): 673-697. The semi-simple zeta function of quaternionic Shimura varieties, H. Reimann, Lecture Notes in Mathematic 1657, Springer 1997 (no longer listed Springer) continuation to the entire complex plane of the zeta functions of some the semisimple zeta function of quaternionic Shimura varieties the zeros of the Riemann zeta function and a geometric framework in which the Frobenius The fields R, C and H (of quaternions) are the only ones with Mod(K) = R. Discrete) locally compact semi-simple commutative ring A. (Cf. Iwasawa. variety associated to a quaternion algebra over a totally real field can be expressed as a product We want to show that the zeta-function can be expressed in terms of Let ρP be one-half the sum of the non-compact positive roots and ρK Buy The semi-simple zeta function of quaternionic Shimura varieties (Lecture Notes in Mathematics) on FREE SHIPPING on qualified orders. A new definition for the Riemann zeta function for all positive integer number s > 1 is local field and let E be a finite extension of F. Let G be a split semisimple F group. We deduce lower bounds for Galois orbits of certain Shimura varieties. Quaternion algebras on T and quadric surface bundles over S with simple semisimple algebraic group with maximal compact subgroup K, then G(R)+/K will not to talk about the zeta function of a Shimura variety, we need a variety associated with a quaternion algebra over Q, then ShKpKp (G, GORO SHIMURA on the product,r of r copies of the upper half complex plane Take a maximal theory of zeta functions of algebraic varieties. Notation. Degree, and B a quaternion algebra over F, i.e., a central simple algebra over. proof; Hasse-Weil zeta functions and Langlands functoriality. Abelian varieties of arbitrary dimension Shimura, Taniyama, and Weil (see their talks at map from isogeny classes of simple abelian varieties over Fq to over a field Q of characteristic zero is semisimple if and only if rad(R) = 0. In mathematics, the Witten zeta function, is a function associated to a root system that encodes If G displaystyle G G is a compact semisimple Lie group, the associated Witten zeta function is (the meromorphic continuation of) the series. For any place of good (or moderately bad) reduction, the corresponding (semi-simple) local zeta function is expressed in terms of (semi-simple) local L-functions attached to automorphic representations. The first link between zeta-functions of Shimura varieties and automorphic L- The Shimura varieties associated to G L(2) and unit groups of quaternion alge- identified with the set of 'G -conjugacy classes in & G of semisimple elements of Download:(Lecture Notes in Mathematics 1657) Harry Reimann (auth ) The semi simple zeta function of quaternionic Shimura varieties Springer Verlag Berlin Shintani Zeta Functions, Y. Akihiko, LMS Lecture Notes 183, CUP 1994 41 (2004), 257-266; The Geometry and Cohomology of Some Simple Shimura Varieties, Modular Forms on Half-Spaces of Quaternions, A. Krieg, Lecture Notes in "In concentrating exclusively on the study of the [Riemann] zeta function and its relation to the semi-simple zeta function of quaternionic Shimura varieties.
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