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Monogenic Fields with Odd Class Number.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Monogenic Fields with Odd Class Number./
作者:	Siad, Artane Jérémie.
面頁冊數:	1 online resource (106 pages)
附註:	Source: Dissertations Abstracts International, Volume: 83-06, Section: B.
Contained By:	Dissertations Abstracts International83-06B.
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28652121click for full text (PQDT)
ISBN:	9798496550284

Monogenic Fields with Odd Class Number.
Siad, Artane Jérémie.

Monogenic Fields with Odd Class Number. - 1 online resource (106 pages)

Source: Dissertations Abstracts International, Volume: 83-06, Section: B.

Thesis (Ph.D.)--University of Toronto (Canada), 2021.

Includes bibliographical references

We prove an upper bound on the average number of 2-torsion elements in the class group monogenised fields of any degree n ≥ 3, and, conditional on a widely expected tail estimate, compute this average exactly. As an application, we show that there are infinitely many number fields with odd class number in any even degree and signature. This completes a line of results on class number parity going back to Gauss.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798496550284Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

2-torsion elementsIndex Terms--Genre/Form:

542853
Electronic books.

Monogenic Fields with Odd Class Number.
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100 1 $a Siad, Artane Jérémie. $3 3704648
245 1 0 $a Monogenic Fields with Odd Class Number.
264 0 $c 2021
300 $a 1 online resource (106 pages)
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500 $a Source: Dissertations Abstracts International, Volume: 83-06, Section: B.
500 $a Advisor: Shankar, Arul.
502 $a Thesis (Ph.D.)--University of Toronto (Canada), 2021.
504 $a Includes bibliographical references
520 $a We prove an upper bound on the average number of 2-torsion elements in the class group monogenised fields of any degree n ≥ 3, and, conditional on a widely expected tail estimate, compute this average exactly. As an application, we show that there are infinitely many number fields with odd class number in any even degree and signature. This completes a line of results on class number parity going back to Gauss.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
653 $a 2-torsion elements
653 $a Upper bound
653 $a Class group monogenised fields
653 $a Fields with odd class number
655 7 $a Electronic books. $2 lcsh $3 542853
690 $a 0405
690 $a 0642
710 2 $a ProQuest Information and Learning Co. $3 783688
710 2 $a University of Toronto (Canada). $b Mathematics. $3 3175525
773 0 $t Dissertations Abstracts International $g 83-06B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28652121 $z click for full text (PQDT)