Automorphic Forms and Geometry of Arithmetic Varieties

Editor(s) K. Hashimoto, Y. Namikawa

Adv. Stud. Pure Math., 15: 523pp. (1989). DOI: 10.2969/aspm/01510000

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Advanced Studies in Pure Mathematics, Volume 15

523 pp.

Published: 1989

First available in Project Euclid: 31 May 2018

MathSciNet: MR1040601

Digital Object Identifier: 10.2969/aspm/01510000

ISBN: 9784864970730

Subjects:

Primary: 11Fxx

Secondary: 11-06

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Mathematical Society of Japan

TABLE OF CONTENTS
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Volume 15 title pages

Advanced Studies in Pure Mathematics Vol. 15, - (1989). Open Access

Foreword

H. Morikawa , M. Nagata

Advanced Studies in Pure Mathematics Vol. 15, - (1989). Open Access

Preface

Ki-ichiro Hashimoto , Yukihiko Namikawa

Advanced Studies in Pure Mathematics Vol. 15, - (1989). Open Access

CONTENTS

Advanced Studies in Pure Mathematics Vol. 15, - (1989). Open Access

PART I

Zeta Functions Associated to Cones and their Special Values

I. Satake, S. Ogata

Advanced Studies in Pure Mathematics Vol. 15, 1-27 (1989). https://doi.org/10.2969/aspm/01510001 Open Access

Cusps on Hilbert Modular Varieties and Values of $L$-Functions

Robert Sczech

Advanced Studies in Pure Mathematics Vol. 15, 29-40 (1989). https://doi.org/10.2969/aspm/01510029 Open Access

On Dimension Formula for Siegel Modular Forms

Ryuji Tsushima

Advanced Studies in Pure Mathematics Vol. 15, 41-64 (1989). https://doi.org/10.2969/aspm/01510041 Open Access

On the Graded Rings of Modular Forms in Several Variables

Shigeaki Tsuyumine

Advanced Studies in Pure Mathematics Vol. 15, 65-87 (1989). https://doi.org/10.2969/aspm/01510065 Open Access

Vector Valued Modular Forms of Degree Two and their Application to Triple $L$-functions

Takakazu Satoh

Advanced Studies in Pure Mathematics Vol. 15, 89-97 (1989). https://doi.org/10.2969/aspm/01510089 Open Access

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PART II

Special Values of $L$-functions Associated with the Space of Quadratic Forms and the Representation of $Sp(2n, F_{p})$ in the Space of Siegel Cusp Forms

Tsuneo Arakawa

Advanced Studies in Pure Mathematics Vol. 15, 99-169 (1989). https://doi.org/10.2969/aspm/01510099 Open Access

Selberg-Ihara’s Zeta function for $p$-adic Discrete Groups

Ki-ichiro Hashimoto, Akira Hori

Advanced Studies in Pure Mathematics Vol. 15, 171-210 (1989). https://doi.org/10.2969/aspm/01510171 Open Access

Zeta Functions of Finite Graphs and Representations of $p$-Adic Groups

Ki-ichiro Hashimoto

Advanced Studies in Pure Mathematics Vol. 15, 211-280 (1989). https://doi.org/10.2969/aspm/01510211 Open Access

Any Irreducible Smooth $GL_{2}$-Module is Multiplicity Free for any Anisotropic Torus

Hiroaki Hijikata

Advanced Studies in Pure Mathematics Vol. 15, 281-286 (1989). https://doi.org/10.2969/aspm/01510281 Open Access

A Formula for the Dimension of Spaces of Cusp Forms of Weight 1

Toyokazu Hiramatsu

Advanced Studies in Pure Mathematics Vol. 15, 287-300 (1989). https://doi.org/10.2969/aspm/01510287 Open Access

On Automorphism Groups of Positive Definite Binary Quaternion Hermitian Lattices and New Mass Formula

Tomoyoshi Ibukiyama

Advanced Studies in Pure Mathematics Vol. 15, 301-349 (1989). https://doi.org/10.2969/aspm/01510301 Open Access

T-Complexes and Ogata’s Zeta Zero Values

Masa-Nori Ishida

Advanced Studies in Pure Mathematics Vol. 15, 351-364 (1989). https://doi.org/10.2969/aspm/01510351 Open Access

The Structure of the Icosahedral Modular Group

Ryoichi Kobayashi, Isao Naruki

Advanced Studies in Pure Mathematics Vol. 15, 365-372 (1989). https://doi.org/10.2969/aspm/01510365 Open Access

Invariants and Hodge Cycles

Michio Kuga

Advanced Studies in Pure Mathematics Vol. 15, 373-413 (1989). https://doi.org/10.2969/aspm/01510373 Open Access

A Note on Zeta Functions Associated with Certain Prehomogeneous Affine Spaces

Atsushi Murase, Takashi Sugano

Advanced Studies in Pure Mathematics Vol. 15, 415-428 (1989). https://doi.org/10.2969/aspm/01510415 Open Access

On Zeta Functions Associated with the Exceptional Lie Group of Type $E_{6}$

Masakazu Muro

Advanced Studies in Pure Mathematics Vol. 15, 429-463 (1989). https://doi.org/10.2969/aspm/01510429 Open Access

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On Functional Equations of Zeta Distributions

Fumihiro Sato

Advanced Studies in Pure Mathematics Vol. 15, 465-508 (1989). https://doi.org/10.2969/aspm/01510465 Open Access

Multi-Tensors of Differential Forms on the Hilbert Modular Variety and on Its Subvarieties, II

Shigeaki Tsuyumine

Advanced Studies in Pure Mathematics Vol. 15, 509-523 (1989). https://doi.org/10.2969/aspm/01510509 Open Access

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