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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.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Infinitely many sign changes of the Liouville function on $X^2+D$
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by Anitha Srinivasan
Proc. Amer. Math. Soc. 150 (2022), 3799-3809
DOI: https://doi.org/10.1090/proc/15939
Published electronically: April 7, 2022

Abstract:

We show that the Liouville function $\lambda$ changes sign infinitely often on $n^2+ d$ for any non-zero integer $d$.
References
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Bibliographic Information
  • Anitha Srinivasan
  • Affiliation: Department of Mathematics, Saint Louis University-Madrid campus, Avenida del Valle 34, 28003 Madrid, Spain
  • MR Author ID: 623877
  • Received by editor(s): May 14, 2021
  • Received by editor(s) in revised form: November 28, 2021, and December 8, 2021
  • Published electronically: April 7, 2022
  • Communicated by: Romyar T. Sharifi
  • © Copyright 2022 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 150 (2022), 3799-3809
  • MSC (2020): Primary 11R29; Secondary 11E16, 11R11
  • DOI: https://doi.org/10.1090/proc/15939
  • MathSciNet review: 4446230