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-   -   3/2 power relation (https://www.mersenneforum.org/showthread.php?t=24489)

jwaltos 2019-06-04 17:28

3/2 power relation
 
I have come upon a 3/2 relation between two variables that allow me to generate a range of coefficients that have a specific and unique property. Aside from Kepler's 3rd law and its generalizations I am not aware of any such 3/2 power associations within number theory. Are there any algebraic structures that have such a feature?

VBCurtis 2019-06-04 20:34

Elliptic curves?

jwaltos 2019-06-05 03:52

I'm looking for something more definitive.
Dowling's paper on the Mathematics of the Casimir Effect and Lemmermeyer's Binary Quadratic Forms book regarding class numbers, 1.8.4 Gauss's Class Number Problem.
In both cases the results are unanticipated and exist as unique equivalence relations.


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