國立虎尾科技大學 |

Notes from the International Autumn School on Computational Number Theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Notes from the International Autumn School on Computational Number Theory/ edited by Ilker Inam, Engin Büyükaşık.
其他作者:	Inam, Ilker.
面頁冊數:	XI, 363 p. 16 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Number theory. -
電子資源:	https://doi.org/10.1007/978-3-030-12558-5
ISBN:	9783030125585

Notes from the International Autumn School on Computational Number Theory
Notes from the International Autumn School on Computational Number Theory[electronic resource] /edited by Ilker Inam, Engin Büyükaşık. - 1st ed. 2019. - XI, 363 p. 16 illus., 2 illus. in color.online resource. - Tutorials, Schools, and Workshops in the Mathematical Sciences ,2522-0969. - Tutorials, Schools, and Workshops in the Mathematical Sciences ,.

Part I: Lecture Notes -- An Introduction to Modular Forms -- Computational Arithmetic of Modular Forms -- Computational Number Theory in Relation with L-functions -- Exponential Diophantine Equations -- Part II: Research Contributions -- Nullstellensatz via Nonstandard Methods -- On the (1 + u2 + u3)-Constacyclic and cyclic codes over the finite ring F2 + uF2 + u2F2 + u3F2 + vF2 -- On higher congruences between cusp forms and Eisenstein series -- Lucas Numbers which are Products of Two Balancing Numbers.

This volume collects lecture notes and research articles from the International Autumn School on Computational Number Theory, which was held at the Izmir Institute of Technology from October 30th to November 3rd, 2017 in Izmir, Turkey. Written by experts in computational number theory, the chapters cover a variety of the most important aspects of the field. By including timely research and survey articles, the text also helps pave a path to future advancements. Topics include: Modular forms L-functions The modular symbols algorithm Diophantine equations Nullstellensatz Eisenstein series Notes from the International Autumn School on Computational Number Theory will offer graduate students an invaluable introduction to computational number theory. In addition, it provides the state-of-the-art of the field, and will thus be of interest to researchers interested in the field as well.

ISBN: 9783030125585

Standard No.: 10.1007/978-3-030-12558-5doiSubjects--Topical Terms:

527883
Number theory.

LC Class. No.: QA241-247.5

Dewey Class. No.: 512.7

Notes from the International Autumn School on Computational Number Theory
LDR:02853nam a22003975i 4500 001 1008084
003 DE-He213
005 20200701211309.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030125585 $9 978-3-030-12558-5
024 7 $a 10.1007/978-3-030-12558-5 $2 doi
035 $a 978-3-030-12558-5
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
245 1 0 $a Notes from the International Autumn School on Computational Number Theory $h [electronic resource] / $c edited by Ilker Inam, Engin Büyükaşık.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2019.
300 $a XI, 363 p. 16 illus., 2 illus. in color. $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 Tutorials, Schools, and Workshops in the Mathematical Sciences , $x 2522-0969
505 0 $a Part I: Lecture Notes -- An Introduction to Modular Forms -- Computational Arithmetic of Modular Forms -- Computational Number Theory in Relation with L-functions -- Exponential Diophantine Equations -- Part II: Research Contributions -- Nullstellensatz via Nonstandard Methods -- On the (1 + u2 + u3)-Constacyclic and cyclic codes over the finite ring F2 + uF2 + u2F2 + u3F2 + vF2 -- On higher congruences between cusp forms and Eisenstein series -- Lucas Numbers which are Products of Two Balancing Numbers.
520 $a This volume collects lecture notes and research articles from the International Autumn School on Computational Number Theory, which was held at the Izmir Institute of Technology from October 30th to November 3rd, 2017 in Izmir, Turkey. Written by experts in computational number theory, the chapters cover a variety of the most important aspects of the field. By including timely research and survey articles, the text also helps pave a path to future advancements. Topics include: Modular forms L-functions The modular symbols algorithm Diophantine equations Nullstellensatz Eisenstein series Notes from the International Autumn School on Computational Number Theory will offer graduate students an invaluable introduction to computational number theory. In addition, it provides the state-of-the-art of the field, and will thus be of interest to researchers interested in the field as well.
650 0 $a Number theory. $3 527883
650 0 $a Computer science—Mathematics. $3 1253519
650 0 $a Computer mathematics. $3 1199796
650 0 $a Algorithms. $3 527865
650 1 4 $a Number Theory. $3 672023
650 2 4 $a Mathematical Applications in Computer Science. $3 815331
700 1 $a Inam, Ilker. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1226171
700 1 $a Büyükaşık, Engin. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1301881
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030125578
776 0 8 $i Printed edition: $z 9783030125592
830 0 $a Tutorials, Schools, and Workshops in the Mathematical Sciences , $x 2522-0969 $3 1281052
856 4 0 $u https://doi.org/10.1007/978-3-030-12558-5
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)