# Erich Hecke

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

Erich Hecke | |
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Photo courtesy of MFO | |

Born | |

Died | 13 February 1947 59) | (aged

Alma mater | University of Göttingen |

Known for | Hecke operator |

Scientific career | |

Fields | Mathematics |

Doctoral advisor | David Hilbert |

Notable students | Kurt Reidemeister Heinrich Behnke Hans Petersson |

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.

## References

- 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.

## 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.