The two-argument Ramanujan function is defined by
(1)
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(2)
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The one-argument function is then defined as the limiting sum of as ,
(3)
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(4)
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(5)
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(6)
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where is the digamma function, is the Euler-Mascheroni constant, and is a harmonic number. The values of for , 3, ... are
(7)
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(8)
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(9)
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(10)
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(11)
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where is the golden ratio.