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Residues of Certain Binomial Coefficients for Composite Moduli

โœ Scribed by Bell, E. T.


Book ID
120100681
Publisher
Oxford University Press
Year
1930
Tongue
English
Weight
143 KB
Volume
s1-5
Category
Article
ISSN
0024-6107

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๐Ÿ“œ SIMILAR VOLUMES


Congruences for sums of binomial coeffic
โœ Zhi-Wei Sun; Roberto Tauraso ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 135 KB

Let q > 1 and m > 0 be relatively prime integers. We find an explicit period ฮฝ 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 โ‰ก -1 (mod q), or a โ‰ก 1 (mod q) and 2 | m, where n r m (a) = kโ‰กr (mod m) n k a k . This is a further extensio