New Congruences for Central Binomial Coefficients

نویسندگان

  • Zhi-Wei Sun
  • Roberto Tauraso
  • ZHI-WEI SUN
  • ROBERTO TAURASO
چکیده

Let p be a prime and let a be a positive integer. In this paper we determine ∑pa−1 k=0 ( 2k k+d ) /mk and ∑p−1 k=1 ( 2k k+d ) /(kmk−1) modulo p for all d = 0, . . . , pa, where m is any integer not divisible by p. For example, we show that if p 6= 2, 5 then p−1 ∑

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تاریخ انتشار 2009