On congruences related to central binomial coefficients
نویسندگان
چکیده
منابع مشابه
On Congruences Involving Central Binomial Coefficients
Let p be a prime, and let d ∈ {0,. .. , p a } with a ∈ Z +. In this paper we study P p
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In 1913 A. Fleck proved that if p is a prime, and n > 0 and r are integers then ∑ k≡r (mod p) (n k ) (−1) ≡ 0 ( mod pb(n−1)/(p−1)c ) . Only recently the significance of Fleck’s congruence was realized. It plays a fundamental role in Colmez’ and Wan’s investigation of the ψ-operator related to Fontaine’s theory and p-adic Langlands correspondence. In this talk we give a survey of the recent deve...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2011
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2011.04.004