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7 votes
1 answer
191 views

Reporting inconclusive experimental searches

In many areas of mathematics it is informative to conduct numerical experiments. But, it not uncommon that the searches do not lead to the examples or data one was hoping for. Since the numerical ...
10 votes
5 answers
1k views

What is the theoretical interest of finding closed-form solutions of infinite series?

I was reading this when I came across Gourevitch's conjecture. My understanding is that solutions to these series are of practical interest. If one encounters such a series, being able to solve it ...
10 votes
4 answers
2k views

When Have Numerology and Computational Experimentation Been Successful?

When has numerology been successfully used in math and science? The Monstrous Moonshine conjecture led to a Fields medal for Borcherds. Balmer's formula for hydrogen spectra led to the Bohr model of ...