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
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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