Erich Hecke

Erich Hecke (20 September 1887 – 13 February 1947) was a German mathematician known for his work in number theory and the theory of modular forms.

"Hecke" redirects here. For the surname, see Hecke (surname).
Erich Hecke
Erich Hecke, date unknown
Born(1887-09-20)20 September 1887
Buk, Province of Posen, German Empire
Died13 February 1947(1947-02-13) (aged 59)
Copenhagen, Denmark
Alma materUniversity of Göttingen
Known forHecke algebra
Hecke operator
Scientific career
FieldsMathematics
Doctoral advisorDavid Hilbert
Notable studentsKurt Reidemeister
Heinrich Behnke
Hans Petersson

Biography

Hecke was born in Buk, Province of Posen, German Empire (now Poznań, Poland).[1] He obtained his doctorate in Göttingen under the supervision of David Hilbert.[2]

Kurt Reidemeister and Heinrich Behnke were among his students.[2]

Hecke died in Copenhagen, Denmark.[3]

Research

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.

Recognition

He was a Plenary Speaker of the ICM in 1936 in Oslo.[4]

See also

References
  1. "hecke, erich".
  2. Erich Hecke at the Mathematics Genealogy Project
  3. "Hecke, Erich". ENCYCLOPEDIA.
  4. Hecke, Erich (1937). "Neuere Fortschritte in der Theorie der elliptischen Modulfunktionen". In: Comptes rendus du Congrès international des mathématiciens: Oslo, 1936. Vol. 1. pp. 140–156.


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