On the problem of Pillai with Padovan numbers and powers of 3

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica Pub Date : 2019-09-01 DOI:10.1556/012.2019.56.3.1435

Mahadi Ddamulira

引用次数: 4

Abstract

Let {P n}n≥0 be the sequence of Padovan numbers defined by P0 = 0, P1 = 1, P2 = 1, and Pn+3 = Pn+1 + Pn for all n ≥ 0. In this paper, we find all integers c admitting at least two representations as a difference between a Padovan number and a power of 3.

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关于具有Padovan数和3次幂的Pillai问题

设{Pn}n≥0是由P0 = 0, P1 = 1, P2 = 1, Pn+3 = Pn+1 + Pn定义的Padovan数序列。在本文中，我们发现所有的整数c至少有两种表示形式，即帕多万数和3的幂之间的差。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.