Waring-Goldbach Problem for Unlike Powers

• Published in: Chinese annals of mathematics. Serie B Vol. 46; no. 2; pp. 303 - 320
• Main Authors: Feng, Zhenzhen, Ma, Jing
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2025; Springer Nature B.V
• Subjects: Applications of Mathematics; Estimates; Mathematics; Mathematics and Statistics; Exceptional sets; Waring-Goldbach problem; Circle method; 11P55; 11P32

In this paper, the authors investigate exceptional sets in the Waring-Goldbach problem for unlike powers. For example, estimates are obtained for sufficiently large integers below a parameter subject to the necessary local conditions that do not have a representation as the sum of a square of prime,...