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Erich Hecke

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Erich Hecke
Photo courtesy of MFO
Photo courtesy of MFO
Born September 20, 1887(1887-09-20)
Buk, Posen, Germany
Died February 13, 1947 (aged 59)
Copenhagen, Denmark
Fields Mathematics
Alma mater University of Göttingen
Doctoral advisor David Hilbert
Notable students Kurt Reidemeister
Heinrich Behnke
Known for Hecke operator

Erich Hecke (September 20, 1887February 13, 1947) was a German mathematician. He obtained his PhD in Göttingen under the supervision of David Hilbert. Kurt Reidemeister and Heinrich Behnke were among his students.

Hecke was born in Buk, Posen, Germany (now Poznań, Poland), and died in Copenhagen, Denmark. His early work included establishing the functional equation for the Dedekind zeta function, with a proof based on theta functions. The method extended to the L-functions associated to a class of characters now known as Hecke characters or idele class characters: such L-functions are now known as Hecke L-functions. He devoted most of his research to the theory of modular forms, creating the general theory of cusp forms (holomorphic, for GL(2)), as it is now understood in the classical setting.

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