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How Euler Could Have Done It: Euler and an Integral of Ramanujan

Aycock, Alexander
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mathematicsphysical-sciences-and-mathematics
We present a derivation of a definite integral discovered by Ramanujan (1887–1920) in his 1915 paper "Some Definite Integrals," from formulas and ideas already developed by Euler (1707–1783). Additionally, it is argued why Euler did not discover Ramanujan's integral himself, although he had all tool
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