Number fields and zeta functions associated with discontinuous groups and algebraic varieties

Collected Papers ◽

10.1007/978-1-4612-2076-3_3 ◽

2002 ◽

pp. 132-140

Author(s):

Goro Shimura

Keyword(s):

Zeta Functions ◽

Number Fields ◽

Algebraic Varieties ◽

Discontinuous Groups

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Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime 2

manuscripta mathematica ◽

10.1007/s00229-007-0132-0 ◽

2007 ◽

Vol 125 (1) ◽

pp. 43-67 ◽

Author(s):

Stéphane R. Louboutin

Keyword(s):

Zeta Functions ◽

Number Fields ◽

Upper Bounds ◽

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Numerical Evaluation at Negative Integers of the Dedekind Zeta Functions of Totally Real Cubic Number Fields

Lecture Notes in Computer Science - Algorithmic Number Theory ◽

10.1007/978-3-540-24847-7_24 ◽

2004 ◽

pp. 318-326 ◽

Author(s):

Stéphane R. Louboutin

Keyword(s):

Numerical Evaluation ◽

Zeta Functions ◽

Number Fields ◽

Cubic Number Fields ◽

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Algebraic varieties are homeomorphic to varieties defined over number fields

Commentarii Mathematici Helvetici ◽

10.4171/cmh/490 ◽

2020 ◽

Vol 95 (2) ◽

pp. 339-359

Author(s):

Adam Parusiński ◽

Guillaume Rond

Keyword(s):

Number Fields ◽

Algebraic Varieties

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Partial Zeta Functions of Algebraic Varieties over Finite Fields

Finite Fields and Their Applications ◽

10.1006/ffta.2000.0288 ◽

2001 ◽

Vol 7 (1) ◽

pp. 238-251 ◽

Author(s):

Daqing Wan

Keyword(s):

Finite Fields ◽

Zeta Functions ◽

Algebraic Varieties

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On the Zeta-Functions of Algebraic Number Fields II

American Journal of Mathematics ◽

10.2307/2372290 ◽

1950 ◽

Vol 72 (4) ◽

pp. 739 ◽

Author(s):

Richard Brauer

Keyword(s):

Algebraic Number ◽

Zeta Functions ◽

Number Fields ◽

Algebraic Number Fields

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On zeta-functions and cyclotomic ${\bf Z}_p$-extensions of algebraic number fields

Tohoku Mathematical Journal ◽

10.2748/tmj/1178228762 ◽

1984 ◽

Vol 36 (4) ◽

pp. 555-562

Author(s):

Keiichi Komatsu

Keyword(s):

Algebraic Number ◽

Zeta Functions ◽

Number Fields ◽

Algebraic Number Fields

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Analytic Curves in Algebraic Varieties over Number Fields

Algebra, Arithmetic, and Geometry ◽

10.1007/978-0-8176-4745-2_3 ◽

2009 ◽

pp. 69-124 ◽

Author(s):

Jean-Benoît Bost ◽

Antoine Chambert-Loir

Keyword(s):

Number Fields ◽

Algebraic Varieties ◽

Analytic Curves

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On zeta-functions and $L$-series of algebraic varieties, II

Proceedings of the Japan Academy ◽

10.3792/pja/1195524596 ◽

1958 ◽

Vol 34 (7) ◽

pp. 395-399

Author(s):

Makoto Ishida

Keyword(s):

Zeta Functions ◽

Algebraic Varieties

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On the adele rings and zeta-functions of algebraic number fields

Kodai Mathematical Journal ◽

10.2996/kmj/1138035648 ◽

1978 ◽

Vol 1 (3) ◽

pp. 394-400 ◽

Author(s):

Keiichi Komatsu

Keyword(s):

Algebraic Number ◽

Zeta Functions ◽

Number Fields ◽

Algebraic Number Fields

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Fourth power moment of Dedekind zeta-functions of real quadratic number fields with class number one

Functiones et Approximatio Commentarii Mathematici ◽

10.7169/facm/1538186715 ◽

2001 ◽

Vol 29 (0) ◽

pp. 41-79 ◽

Author(s):

R. W. Bruggeman ◽

Y. Motohashi

Keyword(s):

Class Number ◽

Zeta Functions ◽

Number Fields ◽

Fourth Power ◽

Quadratic Number ◽

Power Moment ◽

Quadratic Number Fields ◽

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