منابع مشابه
On an arithmetic function considered by Pillai
For every positive integer n let p(n) be the largest prime number p ≤ n. Given a positive integer n = n1, we study the positive integer r = R(n) such that if we define recursively ni+1 = ni − p(ni) for i ≥ 1, then nr is a prime or 1. We obtain upper bounds for R(n) as well as an estimate for the set of n whose R(n) takes on a fixed value k.
متن کاملcompactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولOn the Selection of Efficient Arithmetic Additive Test Pattern Generators
Built-in self-test (BIST) strategies require the implementation of efficient test pattern generators (TPG) which allow the excitation and observation of potential faults in the circuit. Arithmetic additive TPGs (AdTPG) allow existing internal datapaths to be reused to perform this operation without a penalty in the circuit area. AdTPGs are configured by means of triplets: a combination of seed,...
متن کاملOn the Pullback of an Arithmetic Theta Function
In this paper, we consider the relation between the simplest types of arithmetic theta series, those associated to the cycles on the moduli space C of elliptic curves with CM by the ring of integers Ok in an imaginary quadratic field k, on the one hand, and those associated to cycles on the arithmetic surface M parametrizing 2-dimensional abelian varieties with an action of the maximal order OB...
متن کاملOn an Additive Prime Divisor Function of Alladi and Erdős
This paper discusses the additive prime divisor function A(n) := ∑ pα||n αp which was introduced by Alladi and Erdős in 1977. It is shown that A(n) is uniformly distributed (mod q) for any fixed integer q > 1.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1977
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1977.71.275