On the multiplicative independence of binomial coefficients
نویسندگان
چکیده
منابع مشابه
On the Conditioned Binomial Coefficients
We answer a question on the conditioned binomial coefficients raised in and article of Barlotti and Pannone, thus giving an alternative proof of an extension of Frobenius’ generalization of Sylow’s theorem.
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For positive integers n and k, with n>-2k, let (k) = uv, where each prime factor of u is less than k, and each prime factor of v is at least equal to k. It is shown that u < v holds with just 12 exceptions, which are determined . If (k) = UV, where each prime factor of U is at most equal to k, and each prime factor of V is greater than k, then U< V holds with at most finitely many exceptions, 1...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2005
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa116-3-4