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Erich Hecke

Index Erich Hecke

Erich Hecke (20 September 1887 – 13 February 1947) was a German mathematician. [1]

28 relations: Buk, Copenhagen, Cusp form, David Hilbert, Dedekind zeta function, Denmark, Functional equation (L-function), German Empire, Germany, Hans Petersson, Hecke algebra, Hecke character, Hecke operator, Heinrich Behnke, Holomorphic function, International Congress of Mathematicians, Kurt Reidemeister, L-function, List of things named after Erich Hecke, Mathematician, Mathematics, Modular form, Poland, Poznań, Province of Posen, Tate's thesis, Theta function, University of Göttingen.

Buk

Buk (Buk, 1943-45: Buchenstadt) is a town in central Poland, situated in the Greater Poland Voivodeship (since 1999), previously in Poznań Voivodeship (1975–1998).

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Copenhagen

Copenhagen (København; Hafnia) is the capital and most populous city of Denmark.

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Cusp form

In number theory, a branch of mathematics, a cusp form is a particular kind of modular form with a zero constant coefficient in the Fourier series expansion.

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David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.

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Dedekind zeta function

In mathematics, the Dedekind zeta function of an algebraic number field K, generally denoted ζK(s), is a generalization of the Riemann zeta function (which is obtained in the case where K is the rational numbers Q).

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Denmark

Denmark (Danmark), officially the Kingdom of Denmark,Kongeriget Danmark,.

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Functional equation (L-function)

In mathematics, the L-functions of number theory are expected to have several characteristic properties, one of which is that they satisfy certain functional equations.

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German Empire

The German Empire (Deutsches Kaiserreich, officially Deutsches Reich),Herbert Tuttle wrote in September 1881 that the term "Reich" does not literally connote an empire as has been commonly assumed by English-speaking people.

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Germany

Germany (Deutschland), officially the Federal Republic of Germany (Bundesrepublik Deutschland), is a sovereign state in central-western Europe.

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Hans Petersson

Hans Petersson (24 September 1902 in Bentschen – 9 November 1984 in Münster) was a German mathematician.

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Hecke algebra

In mathematics, a Hecke algebra can be one of several algebras, similar to the algebra of Hecke operators studied by Erich Hecke.

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Hecke character

In number theory, a Hecke character is a generalisation of a Dirichlet character, introduced by Erich Hecke to construct a class of ''L''-functions larger than Dirichlet ''L''-functions, and a natural setting for the Dedekind zeta-functions and certain others which have functional equations analogous to that of the Riemann zeta-function.

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Hecke operator

In mathematics, in particular in the theory of modular forms, a Hecke operator, studied by, is a certain kind of "averaging" operator that plays a significant role in the structure of vector spaces of modular forms and more general automorphic representations.

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Heinrich Behnke

Heinrich Adolph Louis Behnke (Horn, 9 October 1898 – Münster, 10 October 1979) was a German mathematician and rector at the University of Münster.

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Holomorphic function

In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.

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International Congress of Mathematicians

The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics.

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Kurt Reidemeister

Kurt Werner Friedrich Reidemeister (13 October 1893 – 8 July 1971) was a mathematician born in Braunschweig (Brunswick), Germany.

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L-function

In mathematics, an L-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects.

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List of things named after Erich Hecke

These are things named after Erich Hecke, a German mathematician.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Modular form

In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition.

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Poland

Poland (Polska), officially the Republic of Poland (Rzeczpospolita Polska), is a country located in Central Europe.

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Poznań

Poznań (Posen; known also by other historical names) is a city on the Warta River in west-central Poland, in the Greater Poland region.

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Province of Posen

The Province of Posen (Provinz Posen, Prowincja Poznańska) was a province of Prussia from 1848 and as such part of the German Empire from 1871 until 1918.

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Tate's thesis

In number theory, Tate's thesis is the 1950 thesis of under supervision of Emil Artin.

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Theta function

In mathematics, theta functions are special functions of several complex variables.

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University of Göttingen

The University of Göttingen (Georg-August-Universität Göttingen, GAU, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany.

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References

[1] https://en.wikipedia.org/wiki/Erich_Hecke

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