Congruences on sums of q-binomial coefficients
نویسندگان
چکیده
منابع مشابه
Congruences for Sums of Binomial Coefficients
Let m > 0 and q > 1 be relatively prime integers. We find an explicit period ν m (q) such that for any integers n 0 and r we have n + ν m (q) r m (a) ≡ n r m (a) (mod q), provided that a = −1 and n = 0, or a is an integer with 1 − (−a) m relatively prime to q, where n r m (a) = k≡r (mod m) n k a k. This is a further extension of a congruence of Glaisher.
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2020
ISSN: 0196-8858
DOI: 10.1016/j.aam.2020.102003