Non-Archimedean Koksma inequalities, variation, and Fourier analysis

DOI10.2478/udt-2022-0011zbMath1503.11108arXiv2203.08109OpenAlexW4311792358MaRDI QIDQ2103482

Clayton Petsche, Naveen Somasunderam

Publication date: 13 December 2022

Published in: Uniform Distribution Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.08109

zbMATH Keywords

equidistributiondiscrepancy\(p\)-adic Fourier analysis\(p\)-adic variationKoksma inequalities

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Irregularities of distribution, discrepancy (11K38) Continuous, (p)-adic and abstract analogues (11K41)

Cites Work

• Quasi-Monte Carlo integration
• Diskrepanz in kompakten abelschen Gruppen. II
• Quasi-Monte Carlo methods and pseudo-random numbers
• Fourier series on the ring of integers in a 𝑝-series field
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