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arxiv: 1310.2709 · v3 · pith:3S6G5EUHnew · submitted 2013-10-10 · 🧮 math.NT

Positive Limit-Fourier Transform of Farey Fractions

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keywords fareyfractionslimit-fouriertransformcoefficientconsiderdefineddirect
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We consider the entity of modified Farey fractions via a function F defined on the direct sum of Z/2Z and we prove that -F has a non negative Limit-Fourier transform up to one exceptional coefficient.

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