Consecutive integers in the form $ a^x+y^b $

Let $ a, b $ and $ k $ be integers greater than $ 1 $. For a tuple of $ k $ consecutive integers sorted in ascending order, denoted by $ T_k $, call $ T_k $ a nice $ k $-tuple if each integer of $ T_k $ is a sum of two powers of the form $ a^x+y^b $ and a perfect $ k $-tuple if each integer of $ T_k...

Full description

Bibliographic Details
Main Authors: Zhen Pu, Kaimin Cheng
Format: Article
Language:English
Published: AIMS Press 2023-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023899?viewType=HTML