It takes the average reader 1 hour and 35 minutes to read On Dwork's $p$-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps by E. Delaygue
Assuming a reading speed of 250 words per minute. Learn more
Using Dwork's theory, the authors prove a broad generalization of his famous -adic formal congruences theorem. This enables them to prove certain -adic congruences for the generalized hypergeometric series with rational parameters; in particular, they hold for any prime number 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.
On Dwork's $p$-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps by E. Delaygue is 94 pages long, and a total of 23,876 words.
This makes it 32% the length of the average book. It also has 29% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 10 minutes to read On Dwork's $p$-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps aloud.
On Dwork's $p$-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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