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arxiv: 2309.00567 · v2 · pith:GQIGKLXG · submitted 2023-09-01 · math.NT

Remarks on a Formula of Ramanujan

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classification math.NT
keywords formularamanujananalyzeassumingaveragedconjecturefinerform
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Assuming an averaged form of Mertens' conjecture and that the ordinates of the non-trivial zeros of the Riemann zeta function are linearly independent over the rationals, we analyze the finer structure of the terms in a well-known formula of Ramanujan.

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