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An Introduction to Infinite Products

A reading series · Little, Teo & van Brunt

Products instead of sums — learning and teaching the theory of infinite products, from convergence to the product formulas behind the sine, the Gamma function, and the zeta function. A planned read-and-teach series.

0 of 5 chapters written · a chapter a day.

  1. 1When does a product converge?the convergence criteria, and the log bridge to seriesplanned
  2. 2Euler's product for the sinethe prototype product formulaplanned
  3. 3The Gamma function as a productWeierstrass & the factorial, freedplanned
  4. 4The zeta Euler productprimes as a product — the bridge to number theoryplanned
  5. 5q-products & theta functionsties straight into the q-series shelfplanned