Eichler, M. (Martin)
Overview
Works:  34 works in 167 publications in 6 languages and 2,593 library holdings 

Roles:  Author, Editor 
Classifications:  QA3, 512.8 
Publication Timeline
.
Most widely held works by
M Eichler
Introduction to the theory of algebraic numbers and functions by
M Eichler(
Book
)
31 editions published between 1963 and 2014 in 4 languages and held by 866 WorldCat member libraries worldwide
31 editions published between 1963 and 2014 in 4 languages and held by 866 WorldCat member libraries worldwide
Quadratische Formen und orthogonale Gruppen by
M Eichler(
Book
)
37 editions published between 1952 and 2012 in 3 languages and held by 549 WorldCat member libraries worldwide
37 editions published between 1952 and 2012 in 3 languages and held by 549 WorldCat member libraries worldwide
Projective varieties and modular forms by
M Eichler(
Book
)
22 editions published between 1971 and 2008 in 3 languages and held by 436 WorldCat member libraries worldwide
22 editions published between 1971 and 2008 in 3 languages and held by 436 WorldCat member libraries worldwide
The theory of Jacobi forms by
M Eichler(
Book
)
16 editions published between 1985 and 2014 in English and held by 308 WorldCat member libraries worldwide
The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL (~) to be a holomorphic function 2 (JC = upper halfplane) satisfying the t\10 transformation eouations 2Tiimcz· k CT +d ar +b z) (1) ((cT+d) e cp(T, z) cp CT +d ' CT +d (2) rjl(T, z+h+]l) and having a Four·ier expansion of the form 00 e2Tii(nT +rz) (3) cp(T, z) 2: c(n, r) 2:: rE~ n=O 2 r ~ 4nm Here k and m are natural numbers, called the weight and index of rp, respectively. Note that th e function cp (T, 0) is an ordinary modular formofweight k, whileforfixed T thefunction z+rjl( r, z) isa function of the type normally used to embed the elliptic curve ~/~T + ~ into a projective space. If m= 0, then cp is independent of z and the definition reduces to the usual notion of modular forms in one variable. We give three other examples of situations where functions satisfying (1)(3) arise classically: 1. Theta series. Let Q: ~+ ~ be a positive definite integer valued quadratic form and B the associated bilinear form
16 editions published between 1985 and 2014 in English and held by 308 WorldCat member libraries worldwide
The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL (~) to be a holomorphic function 2 (JC = upper halfplane) satisfying the t\10 transformation eouations 2Tiimcz· k CT +d ar +b z) (1) ((cT+d) e cp(T, z) cp CT +d ' CT +d (2) rjl(T, z+h+]l) and having a Four·ier expansion of the form 00 e2Tii(nT +rz) (3) cp(T, z) 2: c(n, r) 2:: rE~ n=O 2 r ~ 4nm Here k and m are natural numbers, called the weight and index of rp, respectively. Note that th e function cp (T, 0) is an ordinary modular formofweight k, whileforfixed T thefunction z+rjl( r, z) isa function of the type normally used to embed the elliptic curve ~/~T + ~ into a projective space. If m= 0, then cp is independent of z and the definition reduces to the usual notion of modular forms in one variable. We give three other examples of situations where functions satisfying (1)(3) arise classically: 1. Theta series. Let Q: ~+ ~ be a positive definite integer valued quadratic form and B the associated bilinear form
Lectures on modular correspondences by
M Eichler(
Book
)
17 editions published between 1955 and 1965 in English and Undetermined and held by 96 WorldCat member libraries worldwide
17 editions published between 1955 and 1965 in English and Undetermined and held by 96 WorldCat member libraries worldwide
Über die Darstellung von Modulformen durch Thetareihen by
M Eichler(
Book
)
4 editions published in 1980 in German and held by 34 WorldCat member libraries worldwide
4 editions published in 1980 in German and held by 34 WorldCat member libraries worldwide
Über die Wirkung von HeckeOperatoren auf Thetareihen by
M Eichler(
Book
)
2 editions published in 1979 in German and held by 31 WorldCat member libraries worldwide
2 editions published in 1979 in German and held by 31 WorldCat member libraries worldwide
HarzSagen. Die schönsten Sagen und Märchen aus dem Harze by
M Eichler(
Book
)
5 editions published between 1890 and 1893 in German and held by 10 WorldCat member libraries worldwide
5 editions published between 1890 and 1893 in German and held by 10 WorldCat member libraries worldwide
Untersuchungen in der Zahlentheorie der rationalen Quaternionenalgebren by
M Eichler(
Book
)
3 editions published in 1935 in German and Undetermined and held by 6 WorldCat member libraries worldwide
3 editions published in 1935 in German and Undetermined and held by 6 WorldCat member libraries worldwide
Introduction to the theory of algebraic numbers and functions by
M Eichler(
)
1 edition published in 1966 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1966 in English and held by 4 WorldCat member libraries worldwide
On the imbeddings of imaginary quadratic orders in definite quaternion orders by
Jerzy Brzeziński(
Book
)
3 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
Allgemeine Kongruenzklasseneinteilungen der Ideale einfacher Algebren über algebraischen Zahlkörpern und ihre LReihen by
M Eichler(
Book
)
2 editions published in 1938 in German and held by 3 WorldCat member libraries worldwide
2 editions published in 1938 in German and held by 3 WorldCat member libraries worldwide
Ueber die wirkung von heckeoperatoren auf thetareihen by
M Eichler(
Book
)
3 editions published in 1979 in German and held by 2 WorldCat member libraries worldwide
3 editions published in 1979 in German and held by 2 WorldCat member libraries worldwide
Theoretischpraktische Schule für Piccoloflöte (Trommelpfeife) by
M Eichler(
)
1 edition published in 1900 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1900 in Undetermined and held by 1 WorldCat member library worldwide
Avis aux voyageurs en Suisse, avec une nouvelle carte des principales routes de la Suisse by
Johann Georg Heinzmann(
Book
)
1 edition published in 1796 in French and held by 1 WorldCat member library worldwide
1 edition published in 1796 in French and held by 1 WorldCat member library worldwide
Construction of kernels for the solution of singular integral equations of the first kind : especially with differential kernels by
M Eichler(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
The double standard : a feminist critique of feminist social science by
Margrit Eichler(
Book
)
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
Bibliographie Land, Forst und Ernaerungswirtschaft : deutsprachige Hochschulschriften und Veroeffentlichungen ausserhalb
des Buchhandels 19661980 = Bibliography of agriculture, forestry and the food sciences : bibliography of Germanlanguage
university dissertations and publications outside the book trade 19661980(
Book
)
1 edition published in 1994 in German and held by 1 WorldCat member library worldwide
1 edition published in 1994 in German and held by 1 WorldCat member library worldwide
Incidence of preconception contracts for the production of children by
Ireland(
Book
)
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
Projective Varieties and Modular Forms : Course Given at the University of Maryland, Spring 1970 by
M Eichler(
)
1 edition published in 1971 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1971 in English and held by 0 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Zagier, Don 1951
 SpringerLink (Service en ligne)
 Striker, George Translator
 Rangachari, S. S. Editor
 味村, 良雄 1943
 平松, 豊一 1937
 Brzezinski, J. Author
 Heinzmann, Johann Georg Author
 Volkmann, Swantje Author
 Micromedia Limited
Useful Links
Associated Subjects
Algebraic fields Algebraic functions Algebraic number theory Algebraic varieties Algebras, Linear Criticism (Philosophy) Feminism Forms, Modular Forms, Quadratic Forms (Mathematics) Functional analysis Geometry, Algebraic Germany Group theory Hecke operators Integral equations Jacobi forms Linear algebraic groups Mathematics Modular functions Modular groups Modules (Algebra) Number theory Series, Orthogonal Series, Theta Sexism Sex role Tales Transformations (Mathematics) WomenSocial conditions
Alternative Names
Eichler, M.
Eichler, M. 19121992
Eichler, Martin
Eichler, Martin, 19121992
Eichler, Martin Maximilian Emil 19121992
Martin Eichler deutscher Mathematiker
Martin Eichler Duits wiskundige
Martin Eichler German mathematician
Martin Eichler matemàtic alemany
Martin Eichler matemático alemán
Martin Eichler mathématicien allemand
Martin Eichler tysk matematikar
Martin Eichler tysk matematiker
アイヒラー, M.
アイヒラー, Ｍ. 19121992
マルティン・アイヒラー
Languages
Covers