Continuous Crop Circles

Published: 15 April 2021| Version 1 | DOI: 10.17632/d48f89yjws.1
Contributor:
Yuri Matiyasevich

Description

We consider a special representation of the alternating zeta function as an infinite sum of finite Dirichlet series. The summands approximately fulfil the same functional equation exactly satisfied by the alternating zeta function itself. Plots of the ratio (a summand)/(alternating zeta function) on the complex plane contains numerous almost ideally circular arcs with geometrical parameters closely related to the non-trivial zeros of the zeta function.

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Number-Theoretic Computation

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