£73.95

On Dwork's $p$-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps (Memoirs of the American Mathematical Society)

Mathematical Theory

Price data last checked 50 day(s) ago - refreshing...

View at Amazon

Price History & Forecast

Last 41 days • 41 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 41 days • 1 price levels

Days at Price

Price Analysis

Most common price: £74 (41 days, 100.0%)

Price range: £74 - £74

Price levels: 1 different prices over 41 days

Description

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. Furthermore, using Christol's functions, the authors provide an explicit formula for the ``Eisenstein constant'' of any hypergeometric series with rational parameters. As an application of these results, the authors 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.

Product Specifications

Format: Paperback
ASIN: 1470423006
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Theory
Domain: Amazon UK
Release Date: 30 March 2017
Listed Since: 21 December 2016

Barcode

No barcode data available

On Dwork's $p$-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps (Memoirs of the American Mathematical Society)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields (Memoirs of the American Mathematical Society)

Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas: (AMS-212) (Annals of Mathematics Studies, 212)

Commensurabilities among Lattices in PU (1, n). (AM-132) (Annals of Mathematics Studies, 132)

Princeton University Press - The Gross-Zagier Formula on Shimura Curves

Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas: (AMS-212) (Annals of Mathematics Studies, 212)

Theory of Hypergeometric Functions (Springer Monographs in Mathematics)

Theory of Hypergeometric Functions (Springer Monographs in Mathematics)

Special Values of the Hypergeometric Series (Memoirs of the American Mathematical Society)

Rigid Character Groups, Lubin-Tate Theory, and $( arphi ,Gamma )$-Modules (Memoirs of the American Mathematical Society)

Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory (Proceedings of Symposia in Pure Mathematics): Proceedings of the Bretton ... Bretton Woods, New Hampshire July 11-14, 2005

Homology of Normal Chains and Cohomology of Charges (Memoirs of the American Mathematical Society)

Igusa's $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities (Memoirs of the American Mathematical Society)

The Gross-Zagier Formula on Shimura Curves (Annals of Mathematics Studies): (AMS-184)

Arithmetic and Analytic Theories of Quadratic Forms and Clifford Groups (Mathematical Surveys and Monographs)

Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1: Pt. 1 (Memoirs of the American Mathematical Society)

Lectures on Hilbert Modular Varieties and Modular Forms (CRM Monograph) (CRM Monograph Series)

Advanced Analytic Number Theory: L-functions (Mathematical Surveys and Monographs)

Symmetry Breaking for Representations of Rank One Orthogonal Groups (Memoirs of the American Mathematical Society)

Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics)

New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in $mathbb {R}^n$ (Memoirs of the American Mathematical Society)

A Course in Analytic Number Theory (Graduate Studies in Mathematics)

Dimensions of Affine Deligne-Lusztig Varieties: A New Approach Via Labeled Folded Alcove Walks and Root Operators (Memoirs of the American Mathematical Society)

Theta Constants, Riemann Surfaces and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition Identities and ... ... Theory (Graduate Studies in Mathematics)

Elementary Modular Iwasawa Theory: 16 (Series On Number Theory And Its Applications)