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Bibliographic Details
Main Authors:	Adleman, Leonard 1945- (Author), Huang, Ming-Deh A. (Author)
Format:	Book
Language:	English
Published:	Berlin u.a. Springer 1992
Series:	Lecture notes in mathematics 1512
Subjects:	Abelsche Mannigfaltigkeit Primzahlzerlegung Primzahltheorie Galois-Feld Polynomialzeitalgorithmus
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003675557&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Item Description:	Literaturverz. S. 137 - 139
Physical Description:	VII, 142 S.
ISBN:	3540553088 0387553088

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Record in the Search Index

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adam_text	Contents 1 Introduction 1 2 Acknowledgement 4 3 Overview Of The Algorithm And The Proof Of The Main Theorem 5 3.1 Overview Of The Algorithm 5 3.2 Overview Of The Proof Of The Main Theorem 8 3.2.1 Overview Of Section 5 Proof Of Proposition 1 8 3.2.2 Overview Of Section 6 Proof Of Proposition 2 13 3.2.3 Overview Of Section 7 Proof Of Proposition 3 14 4 Reduction Of Main Theorem To Three Propositions 15 4.1 Three Propositions 15 4.2 The Algorithm 16 4.3 Reduction Of The Main Theorem 17 5 Proof Of Proposition 1 21 5.1 Preliminaries Basic Results, Definitions And Notations 21 5.1.1 Curves And Jacobians 21 5.1.2 Weil Numbers 22 5.1.3 Rings 27 5.1.4 Complex Multiplication 37 5.2 On The Density Of Good Weil Numbers 42 5.3 Principally Polarized Abeliaa Varieties With Given Endomorphism Rings In Char¬ acteristic 0 46 5.4 Principally Polarized Abelian Varieties With Given Endomorphism Rings Over Finite Fields 52 5.5 Principally Polarized Abelian Varieties With Given Endomorphism Rings Over Prime Fields 58 5.6 Ideal Classes And Isomorphism Classes 61 5.7 Class Field Theoretic Estimates 67 5.8 Local Estimates 73 5.9 Analytic Estimates 91 5.10 Jacobian Varieties Associated With Good Weil Numbers 95 5.11 Counting Affine Representatives 101 5.12 Demonstration Of Proposition 1 105 6 Proof Of Proposition 2 110 6.1 Preliminaries 110 6.2 1 Tonrion 112 6.3 Number Of Rational Points On The Jacobian 120 6.4 Demonstration Of Proposition 2 123 7 Proof Of Proposition S 126 References 137 Index 140 VII
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author	Adleman, Leonard 1945- Huang, Ming-Deh A.
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indexdate	2024-12-20T08:39:26Z
institution	BVB
isbn	3540553088 0387553088
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-003675557
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owner	DE-384 DE-91G DE-BY-TUM DE-12 DE-355 DE-BY-UBR DE-703 DE-824 DE-29T DE-706 DE-83 DE-11 DE-188
owner_facet	DE-384 DE-91G DE-BY-TUM DE-12 DE-355 DE-BY-UBR DE-703 DE-824 DE-29T DE-706 DE-83 DE-11 DE-188
physical	VII, 142 S.
publishDate	1992
publishDateSearch	1992
publishDateSort	1992
publisher	Springer
record_format	marc
series	Lecture notes in mathematics
series2	Lecture notes in mathematics
spellingShingle	Adleman, Leonard 1945- Huang, Ming-Deh A. Primality testing and Abelian varieties over finite fields Lecture notes in mathematics Abelsche Mannigfaltigkeit (DE-588)4140992-9 gnd Primzahlzerlegung (DE-588)4175717-8 gnd Primzahltheorie (DE-588)4175715-4 gnd Galois-Feld (DE-588)4155896-0 gnd Polynomialzeitalgorithmus (DE-588)4199652-5 gnd
subject_GND	(DE-588)4140992-9 (DE-588)4175717-8 (DE-588)4175715-4 (DE-588)4155896-0 (DE-588)4199652-5
title	Primality testing and Abelian varieties over finite fields
title_auth	Primality testing and Abelian varieties over finite fields
title_exact_search	Primality testing and Abelian varieties over finite fields
title_full	Primality testing and Abelian varieties over finite fields Leonard M. Adleman ; Ming-Deh A. Huang
title_fullStr	Primality testing and Abelian varieties over finite fields Leonard M. Adleman ; Ming-Deh A. Huang
title_full_unstemmed	Primality testing and Abelian varieties over finite fields Leonard M. Adleman ; Ming-Deh A. Huang
title_short	Primality testing and Abelian varieties over finite fields
title_sort	primality testing and abelian varieties over finite fields
topic	Abelsche Mannigfaltigkeit (DE-588)4140992-9 gnd Primzahlzerlegung (DE-588)4175717-8 gnd Primzahltheorie (DE-588)4175715-4 gnd Galois-Feld (DE-588)4155896-0 gnd Polynomialzeitalgorithmus (DE-588)4199652-5 gnd
topic_facet	Abelsche Mannigfaltigkeit Primzahlzerlegung Primzahltheorie Galois-Feld Polynomialzeitalgorithmus
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003675557&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT adlemanleonard primalitytestingandabelianvarietiesoverfinitefields AT huangmingdeha primalitytestingandabelianvarietiesoverfinitefields

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