Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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On the solution of Waring problem with a multiplicative error term: Dimension-free estimates
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by Jarosław Mirek, Wojciech Słomian and Błażej Wróbel;
Proc. Amer. Math. Soc. 151 (2023), 3365-3379
DOI: https://doi.org/10.1090/proc/16427
Published electronically: May 12, 2023
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Abstract:

We give a relation between the radius and the dimension in which the asymptotic formula in the Waring problem holds in a multiplicative and dimension-free fashion.
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Bibliographic Information
  • Jarosław Mirek
  • Affiliation: Instytut Matematyczny, Uniwersytet Wrocławski, Plac Grunwaldzki 2, 50-384 Wrocław, Poland
  • MR Author ID: 1340273
  • Email: jd.mirek@gmail.com
  • Wojciech Słomian
  • Affiliation: Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wyb. Wyspiańskiego 27, 50-370 Wrocław, Poland
  • MR Author ID: 871997
  • ORCID: 0000-0002-5031-5559
  • Email: wojciech.slomian@pwr.edu.pl
  • Błażej Wróbel
  • Affiliation: Instytut Matematyczny, Uniwersytet Wrocławski, Plac Grunwaldzki 2, 50-384 Wrocław, Poland
  • ORCID: 0000-0003-0413-8931
  • Email: blazej.wrobel@math.uni.wroc.pl
  • Received by editor(s): March 17, 2022
  • Received by editor(s) in revised form: November 4, 2022, and January 5, 2023
  • Published electronically: May 12, 2023
  • Additional Notes: The first, second and third authors were supported by the National Science Centre, Poland, grant Opus 2018/31/B/ST1/00204.
  • Communicated by: Amanda Folsom
  • © Copyright 2023 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 151 (2023), 3365-3379
  • MSC (2020): Primary 11P05, 11P55
  • DOI: https://doi.org/10.1090/proc/16427
  • MathSciNet review: 4591772