Some Diophantine equations and inequalities with primes

2020/08/27 by Baker, Roger · 1 citation
#11P55 #FOS: Mathematics #Number Theory (math.NT) #Primary 11N36 #Secondary 11L20

paper · doi:10.48550/arxiv.2008.12392

Abstract

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.

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• On a system of two Diophantine inequalities with five prime variables

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