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2 votes
1 answer
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Inductive Cholesky decomposition to prove that a function is positive definite over the natural numbers?

I am trying to prove that the function: $$k(a,b):=\frac{1}{\operatorname{rad}\left ( \frac{ab}{\gcd(a,b)^2} \right )}$$ is a positive definite function over the natural numbers. What has sometimes ...
mathoverflowUser's user avatar
0 votes
1 answer
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A RKHS interpretation of the Rydberg formula for hydrogen and an application for physics?

I was thinking if it is possible to define an inner product between two small physical objects with a positive definite kernel and was led to look at the Rydberg formula: The Rydberg formula for ...
mathoverflowUser's user avatar