Fleck Quotients and Bernoulli Numbers

نویسندگان

  • Zhi-Wei Sun
  • ZHI-WEI SUN
چکیده

Nowadays this result plays important roles in many aspects. Recently Sun and Wan investigated Fp(n, r) mod p in [SW2]. In this paper, using p-adic methods we determine (Fp(m, r) − Fp(n, r))/(m − n) modulo p in terms of Bernoulli numbers, where m > 0 is an integer with m 6= n and m ≡ n (mod p(p − 1)). Consequently, Fp(n, r) mod pordp(n)+1 is determined; for example, if n ≡ n∗ (mod p− 1) with 0 < n∗ < p− 2 then

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تاریخ انتشار 2006