Item request has been placed! ×
Item request cannot be made. ×
loading  Processing Request

Inhomogeneous Diophantine approximation with general error functions

Item request has been placed! ×
Item request cannot be made. ×
loading   Processing Request
اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Laboratoire d'Analyse et de Mathématiques Appliquées (LAMA); Université Paris-Est Marne-la-Vallée (UPEM)-Fédération de Recherche Bézout (BEZOUT); Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Centre National de la Recherche Scientifique (CNRS); Institut of Mathematics - Polish Academy of Sciences (PAN); Polska Akademia Nauk = Polish Academy of Sciences = Académie polonaise des sciences (PAN)
    • بيانات النشر:
      HAL CCSD
      Instytut Matematyczny PAN
    • الموضوع:
      2013
    • نبذة مختصرة :
      11 pages ; International audience ; Let $\al$ be an irrational and $\varphi: \N \rightarrow \R^+$ be a function decreasing to zero. For any $\al$ with a given Diophantine type, we show some sharp estimations for the Hausdorff dimension of the set \[ E_{\varphi}(\al):=\{y\in \R: \|n\al -y\| < \varphi(n) \text{ for infinitely many } n\}, \] where $\|\cdot\|$ denotes the distance to the nearest integer.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/1208.1826; hal-00723320; https://hal.science/hal-00723320; https://hal.science/hal-00723320v3/document; https://hal.science/hal-00723320v3/file/inhomo-LiaoRams.pdf; ARXIV: 1208.1826
    • الدخول الالكتروني :
      https://hal.science/hal-00723320
      https://hal.science/hal-00723320v3/document
      https://hal.science/hal-00723320v3/file/inhomo-LiaoRams.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.8E46AF09