Dirichlet Structure Constant
المؤلف:
Cohen, H
المصدر:
A Course in Computational Algebraic Number Theory. New York: Springer-Verlag, 1993.
الجزء والصفحة:
...
31-12-2019
1339
Dirichlet Structure Constant
![kappa(d)=<span style=]() {(2lneta(d))/(sqrt(d)) for d>0; (2pi)/(w(d)sqrt(|d|)) for d<0, " src="http://mathworld.wolfram.com/images/equations/DirichletStructureConstant/NumberedEquation1.gif" style="height:90px; width:189px" /> |
(1)
|
where 
is the fundamental unit and 
is the number of substitutions which leave the binary quadratic form unchanged, given by
![w(d)=<span style=]() {6 for d=-3; 4 for d=-4; 2 otherwise. " src="http://mathworld.wolfram.com/images/equations/DirichletStructureConstant/NumberedEquation2.gif" style="height:62px; width:141px" /> |
(2)
|
REFERENCES:
Cohen, H. A Course in Computational Algebraic Number Theory. New York: Springer-Verlag, 1993.
Cohen, H. Advanced Topics in Computational Number Theory. New York: Springer-Verlag, 2000.
Cohn, H. Advanced Number Theory. New York: Dover, 1980.
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