The Riemann-Siegel formula is a formula discovered (but not published) by Riemann for computing an asymptotic formula for the Riemann-Siegel function ϑ(t). The formula was subsequently discovered in an archive of Riemann's papers by C. L. Siegel and published by Siegel in 1932.

logarithmic integral | prime counting function | prime number theorem | Riemann-Siegel functions | Riemann-Siegel integral formula | Riemann-von Mangoldt formula | Riemann zeta function