國立虎尾科技大學 |

Hecke’s L-functions = Spring, 1964 /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Hecke’s L-functions/ by Kenkichi Iwasawa.
Reminder of title:	Spring, 1964 /
Author:	Iwasawa, Kenkichi.
Description:	XI, 93 p. 17 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Number theory. -
Online resource:	https://doi.org/10.1007/978-981-13-9495-9
ISBN:	9789811394959

Hecke’s L-functions = Spring, 1964 /
Iwasawa, Kenkichi.

Hecke’s L-functionsSpring, 1964 /[electronic resource] :by Kenkichi Iwasawa. - 1st ed. 2019. - XI, 93 p. 17 illus.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.

This volume contains the notes originally made by Kenkichi Iwasawa in his own handwriting for his lecture course at Princeton University in 1964. These notes give a beautiful and completely detailed account of the adelic approach to Hecke’s L-functions attached to any number field, including the proof of analytic continuation, the functional equation of these L-functions, and the class number formula arising from the Dedekind zeta function for a general number field. This adelic approach was discovered independently by Iwasawa and Tate around 1950 and marked the beginning of the whole modern adelic approach to automorphic forms and L-series. While Tate’s thesis at Princeton in 1950 was finally published in 1967 in the volume Algebraic Number Theory, edited by Cassels and Frohlich, no detailed account of Iwasawa’s work has been published until now, and this volume is intended to fill the gap in the literature of one of the key areas of modern number theory. In the final chapter, Iwasawa elegantly explains some important classical results, such as the distribution of prime ideals and the class number formulae for cyclotomic fields.

ISBN: 9789811394959

Standard No.: 10.1007/978-981-13-9495-9doiSubjects--Topical Terms:

527883
Number theory.

LC Class. No.: QA241-247.5

Dewey Class. No.: 512.7

Hecke’s L-functions = Spring, 1964 /
LDR:02462nam a22003855i 4500 001 1009822
003 DE-He213
005 20200702043136.0
007 cr nn 008mamaa
008 210106s2019 si | s |||| 0|eng d
020 $a 9789811394959 $9 978-981-13-9495-9
024 7 $a 10.1007/978-981-13-9495-9 $2 doi
035 $a 978-981-13-9495-9
050 4 $a QA241-247.5
072 7 $a PBH $2 bicssc
072 7 $a MAT022000 $2 bisacsh
072 7 $a PBH $2 thema
082 0 4 $a 512.7 $2 23
100 1 $a Iwasawa, Kenkichi. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1303832
245 1 0 $a Hecke’s L-functions $h [electronic resource] : $b Spring, 1964 / $c by Kenkichi Iwasawa.
250 $a 1st ed. 2019.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2019.
300 $a XI, 93 p. 17 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SpringerBriefs in Mathematics, $x 2191-8198
520 $a This volume contains the notes originally made by Kenkichi Iwasawa in his own handwriting for his lecture course at Princeton University in 1964. These notes give a beautiful and completely detailed account of the adelic approach to Hecke’s L-functions attached to any number field, including the proof of analytic continuation, the functional equation of these L-functions, and the class number formula arising from the Dedekind zeta function for a general number field. This adelic approach was discovered independently by Iwasawa and Tate around 1950 and marked the beginning of the whole modern adelic approach to automorphic forms and L-series. While Tate’s thesis at Princeton in 1950 was finally published in 1967 in the volume Algebraic Number Theory, edited by Cassels and Frohlich, no detailed account of Iwasawa’s work has been published until now, and this volume is intended to fill the gap in the literature of one of the key areas of modern number theory. In the final chapter, Iwasawa elegantly explains some important classical results, such as the distribution of prime ideals and the class number formulae for cyclotomic fields.
650 0 $a Number theory. $3 527883
650 0 $a Functions of complex variables. $3 528649
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Field theory (Physics). $3 685987
650 1 4 $a Number Theory. $3 672023
650 2 4 $a Functions of a Complex Variable. $3 672126
650 2 4 $a Field Theory and Polynomials. $3 672025
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811394942
776 0 8 $i Printed edition: $z 9789811394966
830 0 $a SpringerBriefs in Mathematics, $x 2191-8198 $3 1255329
856 4 0 $u https://doi.org/10.1007/978-981-13-9495-9
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)