Diophantine Approximation with Prime Variables and Mixed Powers
DOI:
https://doi.org/10.54097/dpg8r633Keywords:
Diophantine inequalities; Davenport-Heilbronn method; prime.Abstract
Let , , , , be non-zero real numbers, not all negative, and let be irrational and algebraic. Let be a well-spaced sequence and .We prove that for any given ,the number of satisfying and for which has no solution in primes , , , , does not exceed .
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