Short walk adventures

Armin Straub; Wadim Zudilin

doi:10.1007/978-3-030-36568-4_27

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arXiv · 1801.06002

Short walk adventures

Armin Straub·Wadim Zudilin

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Abstract

We review recent development of short uniform random walks, with a focus on its connection to (zeta) Mahler measures and modular parametrisation of the density functions. Furthermore, we extend available "probabilistic" techniques to cover a variation of random walks and reduce some three-variable Mahler measures, which are conjectured to evaluate in terms of $L$-values of modular forms, to hypergeometric form.

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Armin Straub, Wadim Zudilin. 2018-01-18. Short walk adventures. https://doi.org/10.1007/978-3-030-36568-4_27

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