학술논문
Exceptional sets for sums of prime cubes in short interval.
Document Type
Journal
Author
Chen, Gongrui (PRC-SHAN-SM) AMS Author Profile
Source
Subject
11 Number theory -- 11P Additive number theory; partitions
11P05Waring's problem and variants
11P05
Language
English
Abstract
Summary: ``Let $E(N, X)$ denote the number of even integers $n$, with$N - X \leq n \leq N$, such that n cannot be written as $n = p^3_1 +\cdots + p^3_8$. We prove that if $X > N^{1/36+\varepsilon}$ , then$E(N, X) = o(X)$.''