Investigations in Number Theory

Editor(s) T. Kubota

Adv. Stud. Pure Math., 13: 621pp. (1988). DOI: 10.2969/aspm/01310000

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Advanced Studies in Pure Mathematics, Volume 13

621 pp.

Published: 1988

First available in Project Euclid: 30 May 2018

MathSciNet: MR0971510

Digital Object Identifier: 10.2969/aspm/01310000

ISBN: 9784864970716

Subjects:

Primary: 11-06

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Mathematical Society of Japan

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Volume 13 title pages

Advanced Studies in Pure Mathematics Vol. 13, - (1988). Open Access

Foreword

H. Morikawa , M. Nagata

Advanced Studies in Pure Mathematics Vol. 13, - (1988). Open Access

Preface to the Present Volume

Tomio Kubota

Advanced Studies in Pure Mathematics Vol. 13, - (1988). Open Access

CONTENTS

Advanced Studies in Pure Mathematics Vol. 13, - (1988). Open Access

Abundant Central Extensions and Genus Fields

Hiroshi Suzuki

Advanced Studies in Pure Mathematics Vol. 13, 1-7 (1988). https://doi.org/10.2969/aspm/01310001 Open Access

A Tripling Symbol for Central Extensions of Algebraic Number Fields

Hiroshi Suzuki

Advanced Studies in Pure Mathematics Vol. 13, 9-24 (1988). https://doi.org/10.2969/aspm/01310009 Open Access

On Diophantine Inequalities of Real Indefinite Quadratic Forms of Additive Type in Four Variables

Yoshinobu Nakai

Advanced Studies in Pure Mathematics Vol. 13, 25-170 (1988). https://doi.org/10.2969/aspm/01310025 Open Access

$A_{4}$-extensions over Real Quadratic Fields and Hecke Operators

Masao Koike , Yoshio Tanigawa

Advanced Studies in Pure Mathematics Vol. 13, 171-192 (1988). https://doi.org/10.2969/aspm/01310171 Open Access

On an Application of Zagier’s Method in the Theory of Selberg’s Trace Formula

Eiji Yoshida

Advanced Studies in Pure Mathematics Vol. 13, 193-214 (1988). https://doi.org/10.2969/aspm/01310193 Open Access

Some Problems of Diophantine Approximation and a Kronecker’s Limit Formula

Akio Fujii

Advanced Studies in Pure Mathematics Vol. 13, 215-236 (1988). https://doi.org/10.2969/aspm/01310215 Open Access

Arithmetic of Some Zeta Function Connected with the Eigenvalues of the Laplace–Beltrami Operator

Akio Fujii

Advanced Studies in Pure Mathematics Vol. 13, 237-260 (1988). https://doi.org/10.2969/aspm/01310237 Open Access

Quadratic Units and Congruences between Hilbert Modular Forms

Noburo Ishii

Advanced Studies in Pure Mathematics Vol. 13, 261-275 (1988). https://doi.org/10.2969/aspm/01310261 Open Access

On a Classical Theta-Function, II

Tomio Kubota

Advanced Studies in Pure Mathematics Vol. 13, 277-296 (1988). https://doi.org/10.2969/aspm/01310277 Open Access

On Kronecker’s Limit Formula for Certain Biquadratic Fields

Shuji Konno

Advanced Studies in Pure Mathematics Vol. 13, 297-311 (1988). https://doi.org/10.2969/aspm/01310297 Open Access

Selberg Trace Formula for a Certain Group Generated by $PSL(2,Z[i])$ and a Reflection

Eiji Yoshida

Advanced Studies in Pure Mathematics Vol. 13, 313-344 (1988). https://doi.org/10.2969/aspm/01310313 Open Access

On the Decomposition Laws of Rational Primes in Certain Class 2 Extensions

Susumu Shirai

Advanced Studies in Pure Mathematics Vol. 13, 345-411 (1988). https://doi.org/10.2969/aspm/01310345 Open Access

On the Eighth Power Residue of Totally Positive Quadratic Units

Noburo Ishii

Advanced Studies in Pure Mathematics Vol. 13, 413-431 (1988). https://doi.org/10.2969/aspm/01310413 Open Access

Local Densities of Quadratic Forms

Yoshiyuki Kitaoka

Advanced Studies in Pure Mathematics Vol. 13, 433-460 (1988). https://doi.org/10.2969/aspm/01310433 Open Access

A Table for Pure Cubic Fields

Ken Nakamula

Advanced Studies in Pure Mathematics Vol. 13, 461-477 (1988). https://doi.org/10.2969/aspm/01310461 Open Access

On Generalized Periods of Cusp Forms

Katsumi Shiratani

Advanced Studies in Pure Mathematics Vol. 13, 479-492 (1988). https://doi.org/10.2969/aspm/01310479 Open Access

Some Relations Among New Invariants of Prime Number $p$ Congruent to 1 mod 4

Hideo Yokoi

Advanced Studies in Pure Mathematics Vol. 13, 493-501 (1988). https://doi.org/10.2969/aspm/01310493 Open Access

Theory of Automorphic Forms of Weight 1

Toyokazu Hiramatsu

Advanced Studies in Pure Mathematics Vol. 13, 503-584 (1988). https://doi.org/10.2969/aspm/01310503 Open Access

The Space of Eisenstein Series in the Case of $GL_{2}$

Hideo Shimizu

Advanced Studies in Pure Mathematics Vol. 13, 585-621 (1988). https://doi.org/10.2969/aspm/01310585 Open Access

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