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Remove excessive caps (national style?) and fix grammar a bit
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Ryan Reich
Ryan Reich
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JEFFREY C. LAGARIASJeffery Lagarias, in his recent article EULER’S CONSTANT:EULER’S WORK AND MODERN DEVELOPMENTS for Bulletin of Euler's constant: Euler's work and modern developments in the AMS Bulletin, mentions that Euler obtained $\zeta(3)={{2\pi^3 b(3/2)}\over 3}$ for some 'bernoulli function'"Bernoulli function" $b(z)$ in '2Section 2.4 zeta values'("Zeta values") of his article.

JEFFREY C. LAGARIASLagarias also mentions that Euler similarly obtained a value for $\zeta(5)$ in terms of $b(5/2)$.

Is there any modern article explaining this 'bernoulli function'"Bernoulli function $b(z)$?

JEFFREY C. LAGARIAS, in his recent article EULER’S CONSTANT:EULER’S WORK AND MODERN DEVELOPMENTS for Bulletin of AMS, mentions that Euler obtained $\zeta(3)={{2\pi^3 b(3/2)}\over 3}$ for some 'bernoulli function' $b(z)$ in '2.4 zeta values' of his article.

JEFFREY C. LAGARIAS also mentions that Euler similarly obtained a value for $\zeta(5)$ in terms of $b(5/2)$.

Is there any modern article explaining this 'bernoulli function' $b(z)$?

Jeffery Lagarias, in his recent article Euler's constant: Euler's work and modern developments in the AMS Bulletin, mentions that Euler obtained $\zeta(3)={{2\pi^3 b(3/2)}\over 3}$ for some "Bernoulli function" $b(z)$ in Section 2.4 ("Zeta values") of his article.

Lagarias also mentions that Euler similarly obtained a value for $\zeta(5)$ in terms of $b(5/2)$.

Is there any modern article explaining this "Bernoulli function $b(z)$?

added 114 characters in body
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Sang G. Hahn
Sang G. Hahn
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JEFFREY C. LAGARIAS, in his recent article EULER’S CONSTANT:EULER’S WORK AND MODERN DEVELOPMENTS for Bulletin of AMS, mentions that Euler obtained $\zeta(3)={{2\pi^3 b(3/2)}\over 3}$ for some 'bernoulli function' $b(z)$ in '2.4 zeta values' of his article.

JEFFREY C. LAGARIAS also mentions that Euler similarly obtained a value for $\zeta(5)$ in terms of $b(5/2)$.

Is there any modern article explaining this 'bernoulli function' $b(z)$?

JEFFREY C. LAGARIAS, in his recent article EULER’S CONSTANT:EULER’S WORK AND MODERN DEVELOPMENTS for Bulletin of AMS, mentions that Euler obtained $\zeta(3)={{2\pi^3 b(3/2)}\over 3}$ for some 'bernoulli function' $b(z)$ in '2.4 zeta values' of his article.

Is there any modern article explaining this 'bernoulli function' $b(z)$?

JEFFREY C. LAGARIAS, in his recent article EULER’S CONSTANT:EULER’S WORK AND MODERN DEVELOPMENTS for Bulletin of AMS, mentions that Euler obtained $\zeta(3)={{2\pi^3 b(3/2)}\over 3}$ for some 'bernoulli function' $b(z)$ in '2.4 zeta values' of his article.

JEFFREY C. LAGARIAS also mentions that Euler similarly obtained a value for $\zeta(5)$ in terms of $b(5/2)$.

Is there any modern article explaining this 'bernoulli function' $b(z)$?

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Sang G. Hahn
Sang G. Hahn
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  • 2

zeta(3) in Euler's Section 153

JEFFREY C. LAGARIAS, in his recent article EULER’S CONSTANT:EULER’S WORK AND MODERN DEVELOPMENTS for Bulletin of AMS, mentions that Euler obtained $\zeta(3)={{2\pi^3 b(3/2)}\over 3}$ for some 'bernoulli function' $b(z)$ in '2.4 zeta values' of his article.

Is there any modern article explaining this 'bernoulli function' $b(z)$?