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math.MG2013★ 1 cited
A modern solution to the Gion shrine problem
Juan Arias de Reyna, David Clark
We give a new solution to the famous Gion shrine geometry problem from eighteenth-century Japan. Like the classical Japanese solution, ours is given in the form of a degree ten equ…
math.NT2013
On the exact location of the non-trivial zeros of Riemann's zeta function
Juan Arias de Reyna, Jan van de Lune
In this paper we introduce the real valued real analytic function kappa(t) implicitly defined by exp(2 pi i kappa(t)) = -exp(-2 i theta(t)) * (zeta'(1/2-it)/zeta'(1/2+it)) and kapp…