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Ramanujan by michael pasqui is a document available to read on EtoBox.

What is Ramanujan about?

Ramanujan recorded his famous 1 ψ1 summation in his notebooks. It provides an exact formula for an infinite sum involving q-shifted factorials. The formula generalizes classic q-series identities like the q-binomial theorem and Jacobi triple product identity. While Ramanujan did not provide a proof, the first proof was given by Hahn in 1949 using the q-binomial theorem. There have since been many alternative proofs found. The 1 ψ1 summation has applications to representing numbers as sums of squares and rel

Author

michael pasqui

Language

EN