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On Waring-Goldbach problem for one square and seventeen fifth powers of primes

Min Zhang, Jinjiang Li, Fei Xue

Abstract

In this paper, it is established that every sufficiently large positive integer $n$ subject to $n\equiv0\pmod2$ can be represented as a sum of one square of prime and seventeen fifth powers of primes, which gives an enhancement upon the previous result of Brüdern and Kawada [1].

On Waring-Goldbach problem for one square and seventeen fifth powers of primes

Abstract

In this paper, it is established that every sufficiently large positive integer subject to can be represented as a sum of one square of prime and seventeen fifth powers of primes, which gives an enhancement upon the previous result of Brüdern and Kawada [1].
Paper Structure (3 sections, 47 equations)

This paper contains 3 sections, 47 equations.

Table of Contents

  1. Introduction and main result
  2. Preliminary and outline of the proof of Theorem \ref{['Theorem']}
  3. Proof of Theorem \ref{['Theorem']}

Theorems & Definitions (4)

  • proof
  • proof
  • proof
  • proof