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- W2913597463 abstract "A conjecture due to Cilleruelo states that for an irreducible polynomial $f$ with integer coefficients of degree $dgeq 2$, the least common multiple $L_f(N)$ of the sequence $f(1), f(2), dots, f(N)$ has asymptotic growth $log L_f(N)sim (d-1)Nlog N$ as $Nto infty$. We establish a version of this conjecture for almost all shifts of a fixed polynomial, the range of $N$ depending on the range of shifts." @default.
- W2913597463 created "2019-02-21" @default.
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- W2913597463 date "2019-02-04" @default.
- W2913597463 modified "2023-10-16" @default.
- W2913597463 title "On Cilleruelo's conjecture for the least common multiple of polynomial sequences" @default.
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