Periods and Applications
History and Overview
2017-08-31 v1 Mathematical Physics
Algebraic Geometry
math.MP
Abstract
Periods are numbers represented as integrals of rational functions over algebraic domains. A survey of their elementary properties is provided. Examples of periods includes Feynman Integrals from Quantum Physics and Multiple Zeta Values from Number Theory. But what about finite characteristic, via the global-to-local principle? We include some considerations regarding periods and Jacobi sums, the analog of Veneziano amplitudes in String Theory.
Cite
@article{arxiv.1708.09277,
title = {Periods and Applications},
author = {Lucian M. Ionescu and Richard Sumitro},
journal= {arXiv preprint arXiv:1708.09277},
year = {2017}
}
Comments
16 pages, 5 figures. arXiv admin note: text overlap with arXiv:0801.2856 by other authors