A note on weighted simultaneous Diophantine approximation on manifolds
Demi Allen1 ; Baowei Wang2
1 Department of Mathematics and Statistics University of Exeter Harrison Building, North Park Road Exeter, EX4 4QF, United Kingdom
2 School of Mathematics and Statistics Huazhong University of Science and Technology Wuhan, 430074, P. R. China
Journal de théorie des nombres de Bordeaux, Tome 35 (2023) no. 3, pp. 775-794.

Dans cette note nous présentons une amélioration d’un résultat récent dû à Beresnevich, Levesley, et Ward (2021) sur l’approximation diophantienne simultanée pondérée sur les variétés.

In this note we present an improvement to a recent result due to Beresnevich, Levesley, and Ward (2021) pertaining to weighted simultaneous Diophantine approximation on manifolds.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/jtnb.1263
Classification : 11J13, 28A78, 11J83
Mots clés : Weighted Diophantine approximation, Manifolds, Hausdorff dimension, Mass Transference Principle.
Demi Allen 1 ; Baowei Wang 2

1 Department of Mathematics and Statistics University of Exeter Harrison Building, North Park Road Exeter, EX4 4QF, United Kingdom
2 School of Mathematics and Statistics Huazhong University of Science and Technology Wuhan, 430074, P. R. China
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Demi Allen; Baowei Wang. A note on weighted simultaneous Diophantine approximation on manifolds. Journal de théorie des nombres de Bordeaux, Tome 35 (2023) no. 3, pp. 775-794. doi : 10.5802/jtnb.1263. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1263/

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