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arXiv:2008.12392 [math.NT]AbstractReferencesReviewsResources

Some Diophantine equations and inequalities with primes

Roger Baker

Published 2020-08-27Version 1

The inequalities concern the sum of s powers of primes with non-integer exponent c>1. Here s =2,3,4,or 5. The equations are similar, taking integer part before summing; here s = 3 or 5. New ranges of c are found in all cases for which many solutions in primes exist.

Categories: math.NT
Subjects: 11N36, 11L20, 11P55
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