Diophantine approximation with prime denominator in real quadratic function fields

DOI10.1016/j.ffa.2023.102242arXiv2302.01717OpenAlexW4380739286MaRDI QIDQ6136692

Stephan Baier, Esrafil Ali Molla

Publication date: 31 August 2023

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.01717

zbMATH Keywords

function fieldsDiophantine approximationVaughan's identitydistribution modulo onedistribution of prime ideals

Mathematics Subject Classification ID

Primes in congruence classes (11N13) Distribution of prime ideals (11R44) Sums over primes (11L20) Distribution of primes (11N05) Distribution modulo one (11J71)

Cites Work

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• On the distribution of \(\alpha p\) modulo one in quadratic number fields
• Diophantine approximation with prime restriction in function fields (with an appendix by Arijit Ganguly)
• On the distribution of \(\alpha p\) modulo one in imaginary quadratic number fields with class number one
• Diophantine approximation with prime restriction in real quadratic number fields
• The large sieve with square moduli in function fields
• Class numbers of real quadratic function fields
• On the Distribution of αp Modulo One II
• DIOPHANTINE APPROXIMATION WITH GAUSSIAN PRIMES

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