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- W1498678311 abstract "The periods, introduced by Kontsevich and Zagier, form a class of complex numbers which contains all algebraic numbers and several transcendental quantities. Little has been known about qualitative properties of periods. In this paper, we compare the periods with hierarchy of real numbers induced from computational complexities. In particular we prove that periods can be effectively approximated by elementary rational Cauchy sequences. As an application, we exhibit a computable real number which is not a period." @default.
- W1498678311 created "2016-06-24" @default.
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- W1498678311 date "2008-05-03" @default.
- W1498678311 modified "2023-09-27" @default.
- W1498678311 title "Periods and elementary real numbers" @default.
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