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A Note on Song’s Identity for ζ(2n)
Abstract
Song used Fourier series to obtain a recursive formula for ζ(2n); here we show that his formula coincides with an identity for the Bernoulli numbers deduced by Namias via the gamma function.
Song used Fourier series to obtain a recursive formula for ζ(2n); here we show that his formula coincides with an identity for the Bernoulli numbers deduced by Namias via the gamma function.