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In 1859 Riemann (1826-1866) published his only paper on number theory. Inthis eight-page paper he obtained a formula for the number of primes less thanor equal to a real number x, and revealed the deep connection between thedistribution of primes and the zeros of an analytic function now called theRiemann Zeta Function. In the early 1930's two related unpublished results from1859 were found in Riemanns very rough notes by the great twentieth centurymathematician and scholar, Carl Ludwig Siegel (1896-1981).  In his 1932 paper "Uber Riemanns Nachlass zur analytischen Zahlentheorie"("OnRiemann's Nachlass for Analytic Number Theory") Siegel presents theseunpublished results and gives derivations he found in Riemann's notes. Thefirst is an asymptotic development, now called the Riemann-Siegel formula, forefficiently computing values of the Riemann Zeta Function. The second is a newintegral representation of the zeta function. These results had not beenrediscovered seventy years after Riemann. Thus, in 1932 the importance ofSiegel's paper was not only its contribution to the history of mathematics, butalso its contribution to current research.  Hoping to get some insight into how Siegel spotted and deciphered these gemsamong Riemann's fragmentary and disordered personnel papers, we decided to lookat the 1932 paper. We also wanted to learn how much of the paper is original toRiemann and whether Siegel needed to fill any gaps. Although Siegel's paper iscited whenever the Riemann-Siegel formula is discussed, we were unable thelocate an English translation. Despite our limited knowledge of the Germanlanguage, we have produced a translation of the paper as it appears in volumeone of Siegel's collected works.

On Riemanns Nachlass for Analytic Number Theory: A translation of Siegel's Uber