Elliott's conjecture for correlations of non-pretentious completely multiplicative functions
Elliott's conjecture for correlations of non-pretentious completely multiplicative functions
Let be the set of multiplicative functions with . For , define
A function is non-pretentious when it is not at bounded distance from any twisted Dirichlet character . Elliott's conjecture. For fixed satisfying whenever , if is non-pretentious, then
This is presented as an Elliott-type correlation conjecture; the supplied material gives no resolution status, so it remains open.
Sources & referencesView supporting material
Primary source
Yichen You, “On Completely multiplicative 1 sequences that omit many consecutive +1 values”, arXiv:2404.04981 (2024).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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