Cargando…

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Delaygue, E. (Eric), 1983- (Autor), Rivoal, T. (Tanguy), 1972- (Autor), Roques, J. (Julien), 1980- (Autor)
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
Tabla de Contenidos:
  • Chapter 1. Introduction Chapter 2. Statements of the main results Chapter 3. Structure of the paper Chapter 4. Comments on the main results, comparison with previous results and open questions Chapter 5. The $p$-adic valuation of Pochhammer symbols Chapter 6. Proof of Theorem 4 Chapter 7. Formal congruences Chapter 8. Proof of Theorem 6 Chapter 9. Proof of Theorem 9 Chapter 10. Proof of Theorem 12 Chapter 11. Proof of Theorem 8 Chapter 12. Proof of Theorem 10 Chapter 13. Proof of Corollary 14.