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Some Formulae of S. Ramanujan IV
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In 1917, S. Ramanujan [6] submitted, as a problem to this journal, the following result:
Log 2∑(-1)k/k Log K+Log22∑1/k log K log (2k)=1. (1.1)
This also appears in chapter 13 of his Second Note book and, for a solution, we refer to [6] (unavailable to the author) and B.C. Berndt (cf. [1], p. 217). Here we present another solution based on the following Lemma.
Log 2∑(-1)k/k Log K+Log22∑1/k log K log (2k)=1. (1.1)
This also appears in chapter 13 of his Second Note book and, for a solution, we refer to [6] (unavailable to the author) and B.C. Berndt (cf. [1], p. 217). Here we present another solution based on the following Lemma.
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