Mario Neumuller

activity

20162021

most citedOn the asymptotic behaviour of the sine product

\prod_{r = 1}^{n} ∣2 sin (π r α) ∣

1 citations · 1 across the 6 of their papers we have counts for

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Showing 2021Show all

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math.NT2021

On the order of magnitude of Sudler products II

Sigrid Grepstad, Mario Neumüller, Agamemnon Zafeiropoulos

We study the asymptotic behavior of Sudler products $P_{N} (α) = \prod_{r = 1}^{N} 2∣ sin π r α ∣$ for quadratic irrationals $α \in R$ . In particular, we verify the convergence of ce…

math.NT2021

On the asymptotic behavior of Sudler products along subsequences

Mario Neumüller

Let $α \in (0, 1)$ and irrational. We investigate the asymptotic behaviour of sequences of certain trigonometric products (Sudler products) $(P_{N} (α))_{N \in N}$ with $$P_N(α)…