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On the structure of Mordell-Weil groups over infinite number fields (New aspects of analytic number theory)

On the structure of Mordell-Weil groups over infinite number fields (New aspects of analytic number theory)
紙デジタル記事
Hyunsuk Moon<Z43-1336>数理解析研究所講究録(通号 1639) 2009.4p.56～60
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On congruence prime criterion for cusp forms on GL2 over number fields (Automorphic forms, trace formulas and zeta functions)

On congruence prime criterion for cusp forms on GL2 over number fields (Automorphic forms, trace formulas and zeta functions)
紙デジタル記事
並川 健一<Z43-1336>数理解析研究所講究録(通号 1767) 2011.10p.44～53
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Hilbert-Speiser number fields and the complex conjugation

Hilbert-Speiser number fields and the complex conjugation
紙デジタル記事
Humio Ichimura<Z53-A209>Journal of the Mathematical Society of Japan62(1) 2010.1p.83～94
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  • 要約等Let <I>p</I> be a prime number. We say that a number field <I>F</I> satisfies the ...
  • 件名Hilbert-Speiser number field normal integral basis C...
  • 参照...ilbert–Speiser Number Fields Note on imaginary quadratic fields satisfying the......s On the class numbers of cyclotomic fields On the Stickel......per Cyclotomic fields with unique fa...... to Cyclotomic Fields Normal integra......s of quadratic fields Normal integra......nary quadratic fields satisfying the......nsions Abelian Number Fields Satisfying the......$ or $3$ Class number computations of real abelian number fields On Hilbert–Spe......nary quadratic fields On the ideal c......ginary abelian fields with small con......ginary abelian number fields with class number one

Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime 2 (Analytic Number Theory)

Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime 2 (Analytic Number Theory)
紙デジタル記事
Stephane R. Louboutin<Z43-1336>数理解析研究所講究録(通号 1512) 2006.8p.148～178
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The Distribution of Class Numbers of Pure Number Fields (Diophantine Problems and Analytic Number Theory)

The Distribution of Class Numbers of Pure Number Fields (Diophantine Problems and Analytic Number Theory)
紙デジタル記事
Manfred Peter<Z43-1336>数理解析研究所講究録(通号 1319) 2003.5p.193～197
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Divisibility of class numbers of non-normal totally real cubic number fields

Divisibility of class numbers of non-normal totally real cubic number fields
紙記事
Jungyun Lee<Z53-T494>Proceedings of the Japan Academy. Series. A, Mathematical sciences / issued by 日本学士院86(2) 2010.2p.38～40
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  • 件名Class number totally real cubic fields

Number Fields

Number Fields
デジタル電子書籍・電子雑誌図書
2023
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S-unit equations in number fields: effective results, generalizations, abc-conjecture (解析数論およびその周辺の諸問題--RIMS研究集会報告集)

S-unit equations in number fields: effective results, generalizations, abc-conjecture (解析数論およびその周辺の諸問題--RIMS研究集会報告集)
紙デジタル記事
Kalman Gyory<Z43-1336>数理解析研究所講究録(通号 1710) 2010.8p.71～84
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Brauer's class number relation for the S-ideal class number of an algebraic number field

Brauer's class number relation for the S-ideal class number of an algebraic number field
紙記事
Hiroshi Yamasita<Z71-X540>金沢大学人間社会学域学校教育学類紀要 = Bulletin of the School of Teacher Education / 金沢大学人間社会学域学校教育学類 編(2) 2010p.23～36
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Hecke's L-functions : Spring, 1964 (SpringerBriefs in mathematics)

Hecke's L-functions : Spring, 1964 (SpringerBriefs in mathematics)
紙図書
Kenkichi Iwasawa.Springer[2019]<MA131-D1>
国立国会図書館
  • 要約等...ttached to any number field, includi...... and the class number formula arisin...... for a general number field. This ad......lume Algebraic Number Theory, edited......reas of modern number theory. In the...... and the class number formulae for cyclotomic fields."- publisher
  • 内容細目Algebraic number fields Idèles L-functions Some appl...

About the maximal rank of 3-tensors over the real and the complex number field (Special issue: Algebraic methods in computational statistics)

About the maximal rank of 3-tensors over the real and the complex number field (Special issue: Algebraic methods in computational statistics)
紙記事
Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata<Z51-A48>Annals of the Institute of Statistical Mathematics / edited by the Institute of Statistical Mathematics62(4) 2010.8p.807～822
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On some systems of linear inequalities derived from algebraic groups over number fields (解析的整数論とその周辺--RIMS研究集会報告集)

On some systems of linear inequalities derived from algebraic groups over number fields (解析的整数論とその周辺--RIMS研究集会報告集)
紙デジタル記事
藤森 雅巳<Z43-1336>数理解析研究所講究録(通号 1665) 2009.10p.160～164
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Iterated Galois groups of x² + c over quadratic number field with odd class number (代数的整数論とその周辺)

Iterated Galois groups of x² + c over quadratic number field with odd class number (代数的整数論とその周辺)
紙記事
Chih-Chiang Kao<Z43-1336>数理解析研究所講究録(2269):2023.12p.105-112
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Physical review D Particles, fields, gravitation, and cosmology

Physical review D Particles, fields, gravitation, and cosmology
紙雑誌
American Physical Society<Z53-S43>
国立国会図書館
  • 改題前Physical Review. D, Particles and Fields
  • 並列タイトル等（連結）...ing particles, fields, gravitation, ......es, volume 93, number 1-)
  • 並列タイトル等Later title:Physical review.(3rd series, volume 93, number 1-)
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The pro-C anabelian geometry of number fields

書影書影書影
The pro-C anabelian geometry of number fields
デジタル博士論文障害者向け資料あり
清水, 陵嗣清水, 陵嗣2023
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On Poincare sums for number fields

On Poincare sums for number fields
紙記事
Takashi Ono<Z53-T494>Proceedings of the Japan Academy. Series. A, Mathematical sciences / issued by 日本学士院81(4) 2005.4p.65～68
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  • 件名Number fields local fields cohomology groups ambiguous i...

A Note on the structure of the p-class group of an algebraic number field

A Note on the structure of the p-class group of an algebraic number field
紙記事
Hiroshi Yamashita<Z14-94>金沢大学教育学部紀要. 自然科学編 / 金沢大学教育学部 編(57) 2008.2p.1～8
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Primary components of the ideal class group of an Iwasawa-theoretical abelian number field

Primary components of the ideal class group of an Iwasawa-theoretical abelian number field
紙デジタル記事
Kuniaki Horie<Z53-A209>Journal of the Mathematical Society of Japan59(3) 2007.7p.811～824
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  • 要約等...e set of prime numbers, and let <i>F......e by any prime number outside <i>S</......e by all prime numbers in <i>S</i>. ......-th cyclotomic fields for all <i>p</......ely many prime numbers <i>l</i> for ......nd for a prime number <i>l</i> such that the <i>l</...
  • 参照...t of the class numbers of cyclotomic fields of prime power conductors The...
  • 参照Class numbers and ? p -exte......ons of abelian number fields The ideal clas......etical abelian number fields

Research on relative class number formulas for imaginary abelian number fields by means of determinant

Research on relative class number formulas for imaginary abelian number fields by means of determinant
紙図書
平林幹人, 金沢工業大学 [著][平林幹人]2005-2006<Y151-H17540047>
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Triviality in ideal class groups of Iwasawa-theoretical abelian number fields

Triviality in ideal class groups of Iwasawa-theoretical abelian number fields
紙デジタル記事
Kuniaki Horie<Z53-A209>Journal of the Mathematical Society of Japan57(3) 2005.7p.827～857
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  • 要約等...e set of prime numbers and, for each......ely many prime numbers l for which t......e set of prime numbers l for which t......t of all prime numbers.
  • 件名abelian number field ideal class group Iwasawa theory class number formula
  • 参照...t of the class numbers of cyclotomic fields of prime power......etical abelian number field