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Questions tagged [experimental-mathematics]

The utilization of advanced computing technology in mathematical research: new mathematical results discovered partly or entirely with the aid of computer-based tools.

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Reliable testing of identities (example: modular functions)

Take, for illustration, the following function (bonus points for anyone who identifies where it comes from!), defined on the upper half plane: ...
564 views

Infinite product for Zeta?

I have crafted an infinite product that converges to Zeta very slowly! ...
195 views

Can degenerating Nicomachus' triangle down to $0$ area by using Graph be done?

I noticed a pattern in Nicomachus' Triangle that might be used to reduce the triangle to the number line. If the Edge size could be set to the absolute difference ...
181 views

Can you compute more terms in this sequence?

I am trying to identify a sequence related to the von Mangoldt function matrix. Since I believe/conjecture that the columns in the matrix have period lengths as in this sequence b: ...
324 views

Making a conjecture concerning a certain upper-triangular matrix

I have searched for commands which will let me to create matrices and do matrix operations, but I don't know how to apply Mathematica to the following exercise. Make a conjecture for the result of <...
Does it help to do any preprocessing before FindSequenceFunction?
Sometimes, I use Mathematica to do some hypothesis on homework to make the question easier. For instance, when I have to compute big sums when $n\to\infty$ and Mathematica can't give the exact answer, ...