Izvorni znanstveni članak
An analog of Wolstenholme’s theorem: an addendum
Boaz Cohen
; Department of Computer Science, The Academic College of Tel-Aviv, Israel
Sažetak
Let \( p>=2\) be a prime number and let a,b,m be positive integers such that p does not divide m. In a recent paper [1] we discussed the maximal prime power p^e, which divides the numerator of the fraction \(1/m+1/(m+p^b)+1/(m+2p^b)+...+1/(m+(p^a-1)p^b) \), when written in reduced form. This short note may be regarded as an addendum to the paper~[1] for the case where \(p=2, b=1, m>1 \)and \(2^a||m-1\), which was left open.
Ključne riječi
Wolstenholme's Theorem, Bauer's Theorem, Congruences, Primes
Hrčak ID:
315326
URI
Datum izdavanja:
19.3.2024.
Posjeta: 59 *