Integral representations for zeta(3) with the inverse sine function
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math.NT
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integralfunctioninverserepresentationssinezetaconsequenceewell
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We show four new integral representations for $\zeta(3)$ as a reformulation of Ewell (1990) and Yue-Williams (1993) with the inverse sine function and Wallis integral. As a consequence, we also show a local integral representation for the trilogarithm function.
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