Grenz-Formel
المؤلف:
Borwein, J. M. and Borwein, P. B.
المصدر:
Pi & the AGM: A Study in Analytic Number Theory and Computational Complexity. New York: Wiley
الجزء والصفحة:
...
22-5-2019
1844
Grenz-Formel
An equation derived by Kronecker:
where
is the sum of squares function,
is the Riemann zeta function,
is the Dirichlet eta function,
is the gamma function, and the primed sum omits terms with zero denominator (Selberg and Chowla 1967).
REFERENCES:
Borwein, J. M. and Borwein, P. B. Pi & the AGM: A Study in Analytic Number Theory and Computational Complexity. New York: Wiley, pp. 296-297, 1987.
Selberg, A. and Chowla, S. "On Epstein's Zeta-Function." J. reine angew. Math. 227, 86-110, 1967.
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