منابع مشابه
math . NT / 0603462 . ON FLECK QUOTIENTS
Let p be a prime, and let n > 1 and r be integers. In this paper we study Fleck’s quotient Fp(n, r) = (−p) ∑ k≡r (mod p) (n k ) (−1) ∈ Z. We determine Fp(n, r) mod p completely by certain number-theoretic and combinatorial methods; consequently, if 2 6 n 6 p then n ∑ k=1 (−1) pn− 1 pk − 1 ) ≡ (n− 1)!Bp−np (mod p), where B0, B1, . . . are Bernoulli numbers. We also establish the Kummertype congr...
متن کاملFleck Quotients and Bernoulli Numbers
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 <...
متن کاملOn Fleck
Let p be a prime, and let n > 1 and r be integers. In this paper we study Fleck’s quotient Fp(n, r) = (−p) X
متن کاملBenign familial fleck retina.
A family with a benign form of fleck retina is described. Seven out of 10 siblings were affected. The consanguinious parents were both normal. The fundi were massively invaded by lesions which appeared as discrete, bright white or yellow flecks situated well behind the retinal blood vessels. The macula was always free. Fluorescein studies revealed a healthy macula and retinal and choroidal bloo...
متن کاملEla on Kronecker Quotients
Leopardi introduced the notion of a Kronecker quotient in [Paul Leopardi. A generalized FFT for Clifford algebras. Bulletin of the Belgian Mathematical Society, 11:663–688, 2005.]. This article considers the basic properties that a Kronecker quotient should satisfy and additional properties which may be satisfied. A class of Kronecker quotients for which these properties have a natural descript...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2007
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa127-4-3