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7 votes
2 answers
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Does anybody know the history of how Peter Gustav Lejeune Dirichlet came up with the “nowhere continuous” Dirichlet function?

So I am writing a research paper on the properties of the Dirichlet function (the function with 1 if x is rational and 0 if x is irrational), and I wanted to include some historical background on how ...
serendipity456's user avatar
5 votes
1 answer
1k views

Dirichlet integral's history

I was calculating the so-called Dirichlet Integral, $$\displaystyle \int_{0}^{\infty}\frac{\sin x}{x} \text{d} x$$ and then I wondered about his name and history: Why it has the name of Dirichlet? ...
Elías Guisado Villalgordo's user avatar