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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… Click to show full 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.
Keywords:
powers primes;
exceptional set;
set sums;
mixed powers;
prime one
Journal Title: Symmetry
Year Published: 2020
Link to full text (if available)
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Journal Title: Symmetry
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!