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Writing binomial coefficients as sums of three squares

✍ Scribed by Gabriel Mincu; Laurenţiu Panaitopol


Publisher
Springer
Year
2010
Tongue
English
Weight
180 KB
Volume
95
Category
Article
ISSN
0003-889X

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Congruences for sums of binomial coeffic
✍ Zhi-Wei Sun; Roberto Tauraso 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 135 KB

Let q > 1 and m > 0 be relatively prime integers. We find an explicit period ν m (q) such that for any integers n > 0 and r we have whenever a is an integer with gcd(1 -(-a) m , q) = 1, or a ≡ -1 (mod q), or a ≡ 1 (mod q) and 2 | m, where n r m (a) = k≡r (mod m) n k a k . This is a further extensio