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On Dwork's p-adic formal congruences theorem and hypergeometric mirror maps /
"Using Dwork's theory, we prove a broad generalization of his famous -adic formal congruences theorem. This enables us to prove certain p-adic congruences for the generalized hypergeometric series with rational parameters; in particular, they hold for any prime number p and not only for al...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1163. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn968205459 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 170111t20172016riu ob 000 0 eng d | ||
| 040 | |a GZM |b eng |e rda |e pn |c GZM |d UIU |d LLB |d OCLCF |d COO |d COD |d OCLCA |d YDX |d EBLCP |d IDB |d N$T |d OCLCQ |d UKAHL |d K6U |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 020 | |a 9781470436353 |q (electronic bk.) | ||
| 020 | |a 1470436353 |q (electronic bk.) | ||
| 020 | |z 9781470423001 |q (alk. paper) | ||
| 020 | |z 1470423006 |q (alk. paper) | ||
| 029 | 1 | |a AU@ |b 000062338955 | |
| 029 | 1 | |a AU@ |b 000069670097 | |
| 035 | |a (OCoLC)968205459 | ||
| 050 | 4 | |a QA564 |b .D4494 2017 | |
| 072 | 7 | |a MAT |x 002040 |2 bisacsh | |
| 082 | 0 | 4 | |a 512.7/4 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Delaygue, E. |q (Eric), |d 1983- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjDfHd4XTYKJKvvf9XymVC | |
| 245 | 1 | 0 | |a On Dwork's p-adic formal congruences theorem and hypergeometric mirror maps / |c E. Delaygue, T. Rivoal, J. Roques. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2017. | |
| 264 | 4 | |c ©2016 | |
| 300 | |a 1 online resource (v, 94 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 246, number 1163 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 246, Number 1163 (second of 6 numbers), March 2017." | ||
| 504 | |a Includes bibliographical references (pages 93-94). | ||
| 505 | 0 | 0 | |t Chapter 1. Introduction |t Chapter 2. Statements of the main results |t Chapter 3. Structure of the paper |t Chapter 4. Comments on the main results, comparison with previous results and open questions |t Chapter 5. The $p$-adic valuation of Pochhammer symbols |t Chapter 6. Proof of Theorem 4 |t Chapter 7. Formal congruences |t Chapter 8. Proof of Theorem 6 |t Chapter 9. Proof of Theorem 9 |t Chapter 10. Proof of Theorem 12 |t Chapter 11. Proof of Theorem 8 |t Chapter 12. Proof of Theorem 10 |t Chapter 13. Proof of Corollary 14. |
| 520 | 3 | |a "Using Dwork's theory, we prove a broad generalization of his famous -adic formal congruences theorem. This enables us to prove certain p-adic congruences for the generalized hypergeometric series with rational parameters; in particular, they hold for any prime number p and not only for almost all primes. Furthermore, using Christol's functions, we provide an explicit formula for the "Eisenstein constant" of any hypergeometric series with rational parameters. As an application of these results, we obtain an arithmetic statement "on average" of a new type concerning the integrality of Taylor coefficients of the associated mirror maps. It contains all the similar univariate integrality results in the literature, with the exception of certain refinements that hold only in very particular cases."--Publisher website | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 0 | |a p-adic analysis. | |
| 650 | 0 | |a Congruences (Geometry) | |
| 650 | 0 | |a Mirror symmetry. | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 6 | |a Analyse p-adique. | |
| 650 | 6 | |a Congruences (Géométrie) | |
| 650 | 6 | |a Symétrie du miroir. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Congruences (Geometry) |2 fast | |
| 650 | 7 | |a Geometry, Algebraic |2 fast | |
| 650 | 7 | |a Mirror symmetry |2 fast | |
| 650 | 7 | |a p-adic analysis |2 fast | |
| 700 | 1 | |a Rivoal, T. |q (Tanguy), |d 1972- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjGqTcKFHvTdRvrcrgDXV3 | |
| 700 | 1 | |a Roques, J. |q (Julien), |d 1980- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjwHBPMTPgxMyJqPDy8JrC | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a On Dwork's p-adic formal congruences theorem and hypergeometric mirror maps (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGXfV3VVYmMhdMJy7pgHqP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Delaygue, E. (Eric), 1983- |t On Dwork's p-adic formal congruences theorem and hypergeometric mirror maps |z 9781470423001 |w (DLC) 2016055098 |w (OCoLC)965446423 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1163. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4908279 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445063 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL4908279 | ||
| 938 | |a EBSCOhost |b EBSC |n 1550133 | ||
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