On the periods of twisted moments of the Kloosterman connection

DOI10.1007/S11139-024-00936-0MaRDI QIDQ6631613

Jeng-Daw Yu, Ping-Hsun Chuang

Publication date: 1 November 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

periodsBessel momentsKloosterman connection

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• Title not available (Why is that?)
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• Feynman integrals, \(L\)-series and Kloosterman moments
• Wrońskian factorizations and Broadhurst-Mellit determinant formulae
• Hilbert transforms and sum rules of Bessel moments
• Homology for irregular connections
• Hodge theory of Kloosterman connections
• \({\mathbb{Q}}\)-linear dependence of certain Bessel moments
• Quadratic relations between Bessel moments
• The physics and the mixed Hodge structure of Feynman integrals
• Elliptic integral evaluations of Bessel moments and applications
• A Proof of a Recurrence for Bessel Moments
• Exponential Sums and Differential Equations. (AM-124)
• Hankel continued fractions and Hankel determinants of the Euler numbers
• Quadratic relations between periods of connections

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