Cassaigne et al.'s sign-change conjecture for the Liouville function
Cassaigne et al.'s sign-change conjecture for the Liouville function
Let . Suppose that there are no integer and such that
Cassaigne et al.'s conjecture. The values change sign infinitely often.
This conjecture concerns sign changes of the Liouville function along polynomial sequences. The paper's abstract states that the special case , for every non-zero integer , is proved, while the general conjecture remains open.
Progress summary
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Sources & referencesView supporting material
Primary source
Anitha Srinivasan, “Infinitely many sign changes of the Liouville function on x^2+d”, arXiv:2104.15004 (2021).
Additional references
3 papers in this index state this conjecture (2011–2021). The statement above is taken from the most recent of them; the others are arXiv:1202.0471, arXiv:1109.3107.
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