ON A CONJECTURE OF MCINTOSH REGARDING LP-SEQUENCES

Author:

MOSHE YOSSI1

Affiliation:

1. CNRS, LRI, Université Paris-sud, F-91405 Orsay Cedex, France

Abstract

A sequence [Formula: see text] over ℤ is an LP-sequence if for every prime p and integer n ≥ 0 we have [Formula: see text] (mod p), when [Formula: see text] is a base p expansion of n. In this paper, we study sequences [Formula: see text] such that both [Formula: see text], [Formula: see text] are LP-sequences for some d ≥ 2. One of those sequences is a counter-example to a conjecture of McIntosh [15].

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

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