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math.NT2025
On the limiting distribution of sums of random multiplicative functions
Ofir Gorodetsky, Mo Dick Wong
We establish the limiting distribution of where is a Steinhaus random multiplicative function, answering a question…
math.NT2025
Multiplicative chaos measure for multiplicative functions: the -regime
Ofir Gorodetsky, Mo Dick Wong
Let be a Steinhaus random multiplicative function. For a wide class of multiplicative functions we construct a multiplicative chaos measure arising from the Dirichlet seri…
math.NT2025
A short proof of Helson's conjecture
Ofir Gorodetsky, Mo Dick Wong
Let be the Steinhaus multiplicative function: a completely multiplicative function such that are i.i.d.~random variables un…
math.NT2025
New representations for all sporadic Apéry-like sequences, with applications to congruences
Ofir Gorodetsky
We find new representations, in terms of constant terms of powers of Laurent polynomials, for all the 15 sporadic Ap{é}ry-like sequences discovered by Zagier, Almkvist-Zudilin and…