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Bernhard Riemann (view source)

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Riemann advanced the understanding of trigonometric series, which led to profound work to determine when a function is integrable.
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===Analytic Number Theory===
 
===Analytic Number Theory===
 
''Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse'' -- in English, "On the Number of Primes Less Than a Given Magnitude" (1859). The [[Riemann hypothesis]], which is the greatest unsolved problem in mathematics today, is in this paper.
 
''Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse'' -- in English, "On the Number of Primes Less Than a Given Magnitude" (1859). The [[Riemann hypothesis]], which is the greatest unsolved problem in mathematics today, is in this paper.
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== Riemann's additional work ==
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Riemann advanced the understanding of trigonometric series, which led to profound work to determine when a function is integrable.
    
== Riemann's posthumous papers ==
 
== Riemann's posthumous papers ==
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