東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

FindBook

Google Book

Amazon

博客來

New frontiers in number theory and applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	New frontiers in number theory and applications/ edited by Jordi Guàrdia ... [et al.].
其他作者:	Guàrdia, Jordi.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xxiv, 446 p. :ill., digital ;24 cm.
內容註:	Chapter. 1. Survey Number Theoretic Transform Algorithm over a polynomial ring and its application -- Chapter. 2. On the Hilbert 2-class field towers of the layers of some cyclotomic Z2- extensions -- Chapter. 3. Some remarks on the coefficients of cyclotomic polynomials -- Chapter. 4. Partitions enumerated by self-similar sequences -- Chapter. 5. On the exact divisibility by 5 of the class number of some pure metacyclic fields -- Chapter. 6. On monogenity of certain number fields defined by a trinomial xpr + ax + b -- Chapter. 7. Irreducible Factors of a Polynomial and Extensions of Valuations -- Chapter. 8. Lengths and Class Numbers -- Chapter. 9. On Extended k-order Fibonacci and Lucas Numbers via DGC Numbers -- Chapter. 10. Generalizations of Stirling-like and Bell-like numbers -- Chapter. 11. The complex multiplication method for genus 3 curves -- Chapter. 12. An optimal Chevalley-Warning theorem over the field of two elements -- Chapter. 13. New perspectives of the power-commutator structure: coclass trees of CF-groups and related BCF-groups -- Chapter. 14. The Euler-Riemann zeta function with even arguments in terms of binomial coefficients -- Chapter. 15. Some properties of a type of entropy of an ideal and the divergence of two ideals -- Chapter. 16. A simple and self-contained proof for the Lindemann-Weierstrass theorem -- Chapter. 17. On the 2-class number of some real cyclic quartic number fields II -- Chapter. 18. On the p -isogenies of elliptic curves with multiplicative reduction over quadratic fields -- Chapter. 19. The Hopf-Galois structures of the 3 and 6-division points of the lemniscate curve.
Contained By:	Springer Nature eBook
標題:	Number theory. -
電子資源:	https://doi.org/10.1007/978-3-031-51959-8
ISBN:	9783031519598

New frontiers in number theory and applications
New frontiers in number theory and applications[electronic resource] /edited by Jordi Guàrdia ... [et al.]. - Cham :Springer Nature Switzerland :2024. - xxiv, 446 p. :ill., digital ;24 cm. - Trends in mathematics,2297-024X. - Trends in mathematics..

Chapter. 1. Survey Number Theoretic Transform Algorithm over a polynomial ring and its application -- Chapter. 2. On the Hilbert 2-class field towers of the layers of some cyclotomic Z2- extensions -- Chapter. 3. Some remarks on the coefficients of cyclotomic polynomials -- Chapter. 4. Partitions enumerated by self-similar sequences -- Chapter. 5. On the exact divisibility by 5 of the class number of some pure metacyclic fields -- Chapter. 6. On monogenity of certain number fields defined by a trinomial xpr + ax + b -- Chapter. 7. Irreducible Factors of a Polynomial and Extensions of Valuations -- Chapter. 8. Lengths and Class Numbers -- Chapter. 9. On Extended k-order Fibonacci and Lucas Numbers via DGC Numbers -- Chapter. 10. Generalizations of Stirling-like and Bell-like numbers -- Chapter. 11. The complex multiplication method for genus 3 curves -- Chapter. 12. An optimal Chevalley-Warning theorem over the field of two elements -- Chapter. 13. New perspectives of the power-commutator structure: coclass trees of CF-groups and related BCF-groups -- Chapter. 14. The Euler-Riemann zeta function with even arguments in terms of binomial coefficients -- Chapter. 15. Some properties of a type of entropy of an ideal and the divergence of two ideals -- Chapter. 16. A simple and self-contained proof for the Lindemann-Weierstrass theorem -- Chapter. 17. On the 2-class number of some real cyclic quartic number fields II -- Chapter. 18. On the p -isogenies of elliptic curves with multiplicative reduction over quadratic fields -- Chapter. 19. The Hopf-Galois structures of the 3 and 6-division points of the lemniscate curve.

This contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how these areas are rapidly evolving. By gathering authors from over seven countries, readers will gain an international perspective on the current state of research as well as potential avenues to explore. Specific topics covered include: Algebraic Number Theory Elliptic curves and Cryptography Hopf Galois theory Analytic and elementary number theory and applications New Frontiers in Number Theory and Applications will appeal to researchers interested in gaining a global view of current research in number theory.

ISBN: 9783031519598

Standard No.: 10.1007/978-3-031-51959-8doiSubjects--Topical Terms:

515832
Number theory.

LC Class. No.: QA241

Dewey Class. No.: 512.7

New frontiers in number theory and applications
LDR:03383nmm a2200337 a 4500 001 2371718
003 DE-He213
005 20240527212205.0
006 m d
007 cr nn 008maaau
008 241127s2024 sz s 0 eng d
020 $a 9783031519598 $q (electronic bk.)
020 $a 9783031519581 $q (paper)
024 7 $a 10.1007/978-3-031-51959-8 $2 doi
035 $a 978-3-031-51959-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA241
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
090 $a QA241 $b .N532 2024
245 0 0 $a New frontiers in number theory and applications $h [electronic resource] / $c edited by Jordi Guàrdia ... [et al.].
260 $a Cham : $c 2024. $b Springer Nature Switzerland : $b Imprint: Birkhäuser,
300 $a xxiv, 446 p. : $b ill., digital ; $c 24 cm.
490 1 $a Trends in mathematics, $x 2297-024X
505 0 $a Chapter. 1. Survey Number Theoretic Transform Algorithm over a polynomial ring and its application -- Chapter. 2. On the Hilbert 2-class field towers of the layers of some cyclotomic Z2- extensions -- Chapter. 3. Some remarks on the coefficients of cyclotomic polynomials -- Chapter. 4. Partitions enumerated by self-similar sequences -- Chapter. 5. On the exact divisibility by 5 of the class number of some pure metacyclic fields -- Chapter. 6. On monogenity of certain number fields defined by a trinomial xpr + ax + b -- Chapter. 7. Irreducible Factors of a Polynomial and Extensions of Valuations -- Chapter. 8. Lengths and Class Numbers -- Chapter. 9. On Extended k-order Fibonacci and Lucas Numbers via DGC Numbers -- Chapter. 10. Generalizations of Stirling-like and Bell-like numbers -- Chapter. 11. The complex multiplication method for genus 3 curves -- Chapter. 12. An optimal Chevalley-Warning theorem over the field of two elements -- Chapter. 13. New perspectives of the power-commutator structure: coclass trees of CF-groups and related BCF-groups -- Chapter. 14. The Euler-Riemann zeta function with even arguments in terms of binomial coefficients -- Chapter. 15. Some properties of a type of entropy of an ideal and the divergence of two ideals -- Chapter. 16. A simple and self-contained proof for the Lindemann-Weierstrass theorem -- Chapter. 17. On the 2-class number of some real cyclic quartic number fields II -- Chapter. 18. On the p -isogenies of elliptic curves with multiplicative reduction over quadratic fields -- Chapter. 19. The Hopf-Galois structures of the 3 and 6-division points of the lemniscate curve.
520 $a This contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how these areas are rapidly evolving. By gathering authors from over seven countries, readers will gain an international perspective on the current state of research as well as potential avenues to explore. Specific topics covered include: Algebraic Number Theory Elliptic curves and Cryptography Hopf Galois theory Analytic and elementary number theory and applications New Frontiers in Number Theory and Applications will appeal to researchers interested in gaining a global view of current research in number theory.
650 0 $a Number theory. $3 515832
700 1 $a Guàrdia, Jordi. $3 3717947
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Trends in mathematics. $3 1620392
856 4 0 $u https://doi.org/10.1007/978-3-031-51959-8
950 $a Mathematics and Statistics (SpringerNature-11649)