https://en.wikipedia.org/wiki/Ring_of_periods Ring of periods From Wikipedia, the free encyclopedia (Redirected from Periods (ring)) For a more frequently used sense of the word "period" in mathematics, see Periodic function.
In mathematics, a period is a number that can be expressed as an integral of an algebraic function over an algebraic domain. Sums and products of periods remain periods, so the periods form a ring.
Maxim Kontsevich and Don Zagier (2001) gave a survey of periods and introduced some conjectures about them.
References Belkale, Prakash; Brosnan, Patrick (2003), "Periods and Igusa local zeta functions", International Mathematics Research Notices (49): 2655?2670, doi:10.1155/S107379280313142X, ISSN 1073-7928, MR 2012522
Waldschmidt, Michel (2006), "Transcendence of periods: the state of the art" (PDF), Pure and Applied Mathematics Quarterly, 2 (2): 435?463, doi:10.4310/PAMQ.2006.v2.n2.a3, ISSN 1558-8599, MR 2251476
Tent, Katrin; Ziegler, Martin (2010), "Computable functions of reals" (PDF), Munster Journal of Mathematics, 3: 43?66
