3 papers
math.NT2022
On an approximation by Vaughan in restricted sets of arithmetic progressions
Claus Bauer
We investigate the approximation to the number of primes in arithmetic progressions given by Vaughan. Instead of averaging the expected error term over all residue classes to modul…
math.NT2017
An L-function free proof of Hua's Theorem on sums of five prime squares
Claus Bauer
We provide a new proof of Hua's result that every sufficiently large integer N\equiv 5(mod\,24) can be written as the sum of the five prime squares. Hua's original proof relies on…
math.NT2002
A remark on a theorem of the Goldbach Waring type
Claus Bauer
Is is shown that all but O(x^{23207/23240}) even integers N<x can be written as the sum of a square, a cube, a forth and a fifth power of a prime.