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Exceptional Set for Sums of Symmetric Mixed Powers of Primes
- Source :
- Symmetry, Vol 12, Iss 3, p 367 (2020)
- Publication Year :
- 2020
- Publisher :
- MDPI AG, 2020.
-
Abstract
- The main purpose of this paper is to use the Hardy−Littlewood method to study the solvability of mixed powers of primes. To be specific, we consider the even integers represented as the sum of one prime, one square of prime, one cube of prime, and one biquadrate of prime. However, this representation can not be realized for all even integers. In this paper, we establish the exceptional set of this kind of representation and give an upper bound estimate.
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 12
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Symmetry
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.112b00c0f4a4e7988379052702f317b
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/sym12030367