Erich Hecke
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Erich Hecke | |
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![]() Erich Hecke, date unknown | |
Born | |
Died | 13 February 1947 | (aged 59)
Alma mater | University of Göttingen |
Known for | Hecke algebra Hecke operator |
Scientific career | |
Fields | Mathematics |
Doctoral advisor | David Hilbert |
Notable students | Kurt Reidemeister Heinrich Behnke Hans Petersson |
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.
Biography[]
Hecke was born in Buk, Posen, Germany (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[]
- List of things named after Erich Hecke
- Hecke algebra (disambiguation)
- Tate's thesis
References[]
- ^ "hecke, erich".
- ^ Jump up to: a b Erich Hecke at the Mathematics Genealogy Project
- ^ "Hecke, Erich". ENCYCLOPEDIA.
- ^ 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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External links[]
- Erich Hecke at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Erich Hecke", MacTutor History of Mathematics archive, University of St Andrews
- 1887 births
- 1947 deaths
- People from Poznań County
- People from the Province of Posen
- 20th-century German mathematicians
- Number theorists
- Mathematicians involved with Mathematische Annalen
- German academic biography stubs