Attainable measures for certain types of p-adic Duffin-Schaeffer sets

Mathias Løkkegaard Laursen

doi:10.7146/math.scand.a-139832

Attainable measures for certain types of p-adic Duffin-Schaeffer sets

Institut for Matematik

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

Abstract

This paper settles recent conjectures concerning the p-adic Haar measure applied to a family of sets defined in terms of Diophantine approximation. This is done by determining the spectrum of measure values for each family and seeing that this contradicts the corresponding conjectures.

Originalsprog	Engelsk
Artikelnummer	3
Tidsskrift	Mathematica Scandinavica
Vol/bind	129
Nummer	3
Sider (fra-til)	452-480
Antal sider	29
ISSN	0025-5521
DOI	https://doi.org/10.7146/math.scand.a-139832
Status	Udgivet - okt. 2023

Adgang til dokumentet

10.7146/math.scand.a-139832

https://arxiv.org/abs/2212.03619

1 Tidsskriftartikel

The p-adic Duffin–Schaeffer Conjecture
Kristensen, S. & Laursen, M. L., mar. 2023, I: Functiones et Approximatio Commentarii Mathematici. 68, 1, s. 113-126 14 s.
Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

1 Citationer (Scopus)

Citationsformater

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Attainable measures for certain types of p-adic Duffin-Schaeffer sets

Abstract

Adgang til dokumentet

Fingeraftryk

Publikation

The p-adic Duffin–Schaeffer Conjecture

Citationsformater