Taniguchi,s Constant
المؤلف:
Finch, S
المصدر:
"Class Number Theory." https://algo.inria.fr/csolve/clss.pdf. May 6, 2005.
الجزء والصفحة:
...
6-10-2020
893
Taniguchi's Constant
Taniguchi's constant is defined as
(OEIS A175639), where the product is over the primes 
. Taking the logarithm, expand the sum about infinity, and then summing the terms gives a "closed" form as
where 
is the prime zeta function and the 
s are rational numbers given as the coefficients of 
in the series
 |
(5)
|
REFERENCES:
Finch, S. "Class Number Theory." https://algo.inria.fr/csolve/clss.pdf. May 6, 2005.
Sloane, N. J. A. Sequence A175639 in "The On-Line Encyclopedia of Integer Sequences."
Taniguchi, T. "A Mean Value Theorem for the Square of Class Number Times Regulator of Quadratic Extensions." https://arxiv.org/abs/math/0410531. 3 Jul 2006.
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