Diophantine approximation on lines in ℂ² with Gaussian prime constraints - enhanced version

2017/06/20 by Baier, Stephan
#11J83 #11K60 #11L07 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1706.06453

Abstract

We study the problem of Diophantine approximation on lines in ℂ² with numerators and denominators restricted to Gaussian primes. To this end, we develop analogs of well-known results on small fractional parts of pγ, p running over the primes and γ being a fixed irrational, for Gaussian primes.

Related

• Diophantine approximation on lines in \ℂ² with Gaussian prime\n constraints
• Diophantine approximation on lines with prime constraints
• A note on Diophantine approximation with Gaussian primes
• Walking to infinity on gaussian lines
• Gaussian Primes in Narrow Sectors