On some conjectural hypergeometric congruences
نویسندگان
چکیده
منابع مشابه
Hypergeometric (super)congruences
The sequence of (terminating balanced) hypergeometric sums an = n ∑ k=0 ( n k )2( n+ k k )2 , n = 0, 1, . . . , appears in Apéry’s proof of the irrationality of ζ(3). Another example of hypergeometric use in irrationality problems is Ramanujan-type identities for 1/π, like ∞ ∑ k=0 ( 2k k )3 (4k + 1) (−1) 26k = 2 π . These two, seemingly unrelated but both beautiful enough, hypergeometric series...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2020
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm7934-8-2019