Short Walk Adventures

DOI10.1007/978-3-030-36568-4_27zbMath1448.33018arXiv1801.06002OpenAlexW2782771991MaRDI QIDQ3298043

Wadim Zudilin, Armin Straub

Publication date: 21 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06002

zbMATH Keywords

modular formMahler measurehypergeometric functionmodular function\(L\)-valueuniform random walkarithmetic differential equation

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Elliptic functions and integrals (33E05)

Related Items (1)

Moments in Pearson's four-step uniform random walk problem and other applications of very well-poised generalized hypergeometric series

Cites Work

• Unnamed Item
• Linear Mahler measures and double \(L\)-values of modular forms
• Feynman integrals, \(L\)-series and Kloosterman moments
• Some arithmetic properties of short random walk integrals
• Generating functions of Legendre polynomials: A tribute to Fred Brafman
• Zeta Mahler measures
• A study of inverse trigonometric integrals associated with three-variable Mahler measures, and some related identities
• Wick rotations, Eichler integrals, and multi-loop Feynman diagrams
• A certain series associated with Catalan's constant
• Legendre polynomials and Ramanujan-type series for \(1/\pi\)
• A study of elliptic gamma function and allies
• On a formula of Bloch
• A SOLUTION OF SUN'S $520 CHALLENGE CONCERNING $\frac{520}{\pi}$
• Period(d)ness of L-Values
• Series for 1/π using Legendre's relation
• On the Mahler Measure of 1+X+1/X+Y +1/Y
• Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations
• Densities of Short Uniform Random Walks
• Elliptic integral evaluations of Bessel moments and applications
• On Measures of Polynomials in Several Variables: Corrigendum
• Mahler's Measure and Special Values of L-functions
• An integral of Dedekind An integral of Dedekind An integral of Dedekind An integral of Dedekind eta-functions in Ramanujans lost notebook
• ON BORWEIN’S CONJECTURES FOR PLANAR UNIFORM RANDOM WALKS
• A family of Ramanujan–Orr formulas for 1/π
• A REMARK ON A PAPER OF AHLGREN, BERNDT, YEE, AND ZAHARESCU
• Three-Step and Four-Step Random Walk Integrals
• A GENERATING FUNCTION OF THE SQUARES OF LEGENDRE POLYNOMIALS

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