Considerations on certain series
Euler factors a power series into an infinite product, applying it to f'/f, and evaluates a number of series using what look like trigonometric substitutions. He also applies this to the differential equation zs' – s – sz + s2 = 0 by recursion. Then he attempts to evaluate ζ(2k+1).
Original Source Citation
Commentarii academiae scientiarum Petropolitanae, Volume 12, pp. 53-96.
Opera Omnia Citation
Series 1, Volume 14, pp.407-462.