Erich Hecke (September 20, 1887 – February 13, 1947) was a German mathematician. Events 451 - The Battle of Chalons takes place in North Eastern France. Year 1887 ( MDCCCLXXXVII) was a Common year starting on Saturday (link will display the full calendar of the Gregorian calendar (or a Common Events 1258 - Baghdad falls to the Mongols, and the Abbasid Caliphate is destroyed Year 1947 ( MCMXLVII) was a Common year starting on Wednesday (link will display full 1947 calendar of the Gregorian calendar. Germany, officially the Federal Republic of Germany ( ˈbʊndəsʁepuˌbliːk ˈdɔʏtʃlant is a Country in Central Europe. A mathematician is a person whose primary area of study and research is the field of Mathematics. He obtained his PhD in Göttingen under the supervision of David Hilbert. The University of Göttingen ( German: Georg-August-Universität Göttingen) is a University in the city of Göttingen, Germany. David Hilbert ( January 23, 1862 &ndash February 14, 1943) was a German Mathematician, recognized as one of the most Kurt Reidemeister and Heinrich Behnke were among his students. Kurt Werner Friedrich Reidemeister ( October 13, 1893 - July 8, 1971) was a Mathematician born in Braunschweig (Brunswick
Hecke was born in Buk, Posen, Germany (now Poznań, Poland), and died in Copenhagen, Denmark. Buk is a town in central Poland, situated in the Greater Poland Voivodeship (since 1999 previously in Poznań Voivodeship (1975-1998 Poznań Lublin Voivodeship This article is about the city in Poland Germany, officially the Federal Republic of Germany ( ˈbʊndəsʁepuˌbliːk ˈdɔʏtʃlant is a Country in Central Europe. Poznań Lublin Voivodeship This article is about the city in Poland Poland (Polska officially the Republic of Poland Copenhagen (ˌkəʊpənˈheɪgən ˌkəʊpənˈhɑːgən ˈkəʊpənˌheɪgən ˈkəʊpənˌhɑːgən kʰøb̥ənˈhɑʊ̯ˀn kʰøb̥m̩ˈhɑʊ̯ˀn is the capital and largest city The Kingdom of Denmark ( ˈd̥ænmɑɡ̊ (archaic ˈd̥anmɑːɡ̊ commonly known as Denmark, is a country in the Scandinavian region of northern Europe
His early work included establishing the functional equation for the Dedekind zeta function, with a proof based on theta functions. In Mathematics, the L-functions of Number theory are expected to have several characteristic properties one of which is that they satisfy certain Functional In Mathematics, the Dedekind zeta-function is a Dirichlet series defined for any Algebraic number field K and denoted \zeta_K In Mathematics, theta functions are Special functions of Several complex variables. 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. The theory of L -functions has become a very substantial and still largely Conjectural, part of contemporary Number theory. In Mathematics, in the field of Number theory, a Hecke character is a generalisation of a Dirichlet character, introduced by Erich Hecke to construct In Mathematics, in the field of Number theory, a Hecke character is a generalisation of a Dirichlet character, introduced by Erich Hecke to construct In Mathematics, in the field of Number theory, a Hecke character is a generalisation of a Dirichlet character, introduced by Erich Hecke to construct 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. In Mathematics, a modular form is a (complex Analytic function on the Upper half-plane satisfying a certain kind of Functional equation and In Number theory, a branch of Mathematics, a cusp form is a particular kind of Modular form, distinguished in the case of modular forms for the Modular Holomorphic functions are the central object of study of Complex analysis; they are functions defined on an open subset of the complex number plane
See also
External links
- Erich Hecke at the Mathematics Genealogy Project
- O'Connor, John J. In Mathematics, in particular in the theory of Modular forms a Hecke operator is a certain kind of 'averaging' operator that plays a significant role in the structure In Mathematics, in the field of Number theory, a Hecke character is a generalisation of a Dirichlet character, introduced by Erich Hecke to construct The Mathematics Genealogy Project is a web-based Database that gives an Academic genealogy based on Dissertation supervision relations & Robertson, Edmund F. , “Erich Hecke”, MacTutor History of Mathematics archive
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