TY  - BOOK
AU  - Delaygue,E.
AU  - Rivoal,T.
AU  - Roques,J.
TI  - On Dwork's p-adic formal congruences theorem and hypergeometric mirror maps
T2  - Memoirs of the American Mathematical Society
SN  - 9781470423001 (alk. paper)
U1  - 510 23
PY  - 2017///
CY  - Providence : 
PB  - American Mathematical Society, 
KW  - Algebraic geometry
KW  - p-adic analysis
KW  - Congruences (Geometry)
KW  - Mirror symmetry
N1  - Includes bibliographical references; 1. Introduction --
2. Statements of the main results --
3. Structure of the paper --
4. Comments on the main results, comparison with previous results and open questions --
5. The $p$-adic valuation of Pochhammer symbols --
6. Proof of Theorem 4 --
7. Formal congruences --
8. Proof of Theorem 6 --
9. Proof of Theorem 9 --
10. Proof of Theorem 12 --
11. Proof of Theorem 8 --
12. Proof of Theorem 10 --
13. Proof of Corollary 14 --
Bibliography
N2  - Using Dwork's theory, the authors prove a broad generalization of his famous p-adic formal congruences theorem. This enables them 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
ER  -