New Frontiers in Number Theory and Applications (Record no. 60149)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04548nam a22005415i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-031-51959-8 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20251030112100.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240527s2024 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783031519598 |
| -- | 978-3-031-51959-8 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-031-51959-8 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA241-247.5 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBH |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT022000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBH |
| Source | thema |
| 245 10 - TITLE STATEMENT | |
| Title | New Frontiers in Number Theory and Applications |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | edited by Jordi Guàrdia, Nicuşor Minculete, Diana Savin, Montserrat Vela, Abdelkader Zekhnini. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2024. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer Nature Switzerland : |
| -- | Imprint: Birkhäuser, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2024. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XXIV, 446 p. 1 illus. |
| Other physical details | online resource. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| Encoding format | |
| Source | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Trends in Mathematics, |
| International Standard Serial Number | 2297-024X |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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 ## - SUMMARY, ETC. | |
| Summary, etc. | 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 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Guàrdia, Jordi. |
| Relator term | editor. |
| Relator code | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| 9 (RLIN) | 77487 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Minculete, Nicuşor. |
| Relator term | editor. |
| Relator code | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| 9 (RLIN) | 77488 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Savin, Diana. |
| Relator term | editor. |
| Relator code | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| 9 (RLIN) | 77489 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Vela, Montserrat. |
| Relator term | editor. |
| Relator code | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| 9 (RLIN) | 77490 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Zekhnini, Abdelkader. |
| Relator term | editor. |
| Relator code | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| 9 (RLIN) | 77491 |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer Nature eBook |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783031519581 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783031519604 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783031519611 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Trends in Mathematics, |
| International Standard Serial Number | 2297-024X |
| 9 (RLIN) | 71516 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-3-031-51959-8">https://doi.org/10.1007/978-3-031-51959-8</a> |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 912 ## - | |
| -- | ZDB-2-SXMS |
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