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Some new series for 1/π and related congruences

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arxiv 1104.3856 v9 pith:XINMDVGA submitted 2011-04-19 math.NT math.CAmath.CO

Some new series for 1/π and related congruences

classification math.NT math.CAmath.CO
keywords congruencesrelatedseriessomebinaryconjecturalformsinvolving
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In this paper we prove some new series for $1/\pi$ as well as related congruences. We also raise several new kinds of series for $1/\pi$ and present some related conjectural congruences involving representations of primes by binary quadratic forms.

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