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math.NT2026
Dynamical generalizations of the two-point Chowla conjecture
Biao Wang, Shaoyun Yi
In 1965, Chowla conjectured that the values of the Liouville function become asymptotically uncorrelated at consecutive natural numbers. Recently, the two-point case is resolved by…
math.NT2026
Asymptotic uncorrelations between functions with squarefull kernel and functions of invariant average
Xiang Su, Biao Wang, Shaoyun Yi
In 1986, Ivić and Tenenbaum introduced arithmetic functions with squarefull kernel, which are also called -functions. Later, Erdős and Ivić gave an asymptotic estimate on the sh…