The paper claims a proof of convergence of the Flint-Hills series and a new irrationality-measure bound mu(pi) <= 2.5, but the proof is circular and invalid.
On the Classification of Weierstrass Elliptic Curves over $\mathbb{Z}_n$
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abstract
The elliptic curves are beautiful mathematical object with several applications. They have been studied well over finite and infinite fields. In this work, we study Weierstrass elliptic curves over the finite ring $\mathbb{Z}_n$ through classification. Our study is supported with extensive computational data. We also present some conjectures.
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Diophantine FLINT-HILLS series
The paper claims a proof of convergence of the Flint-Hills series and a new irrationality-measure bound mu(pi) <= 2.5, but the proof is circular and invalid.