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On p-adic approximation of sums of binomial coefficients

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 نشر من قبل Max Alekseyev
 تاريخ النشر 2016
  مجال البحث
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We propose higher-order generalizations of Jacobsthals $p$-adic approximation for binomial coefficients. Our results imply explicit formulae for linear combinations of binomial coefficients $binom{ip}{p}$ ($i=1,2,dots$) that are divisible by arbitrarily large powers of prime $p$.



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