WorldCat Identities

Lehner, J. (Joseph) 1912-

Overview
Works: 42 works in 129 publications in 3 languages and 1,651 library holdings
Genres: Academic theses 
Roles: Author, Editor, Creator, Other, Artist
Classifications: QA351, 517.85
Publication Timeline
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Most widely held works by J Lehner
A short course in automorphic functions by J Lehner( Book )

20 editions published between 1966 and 2015 in English and Undetermined and held by 597 WorldCat member libraries worldwide

This concise three-part treatment introduces undergraduate and graduate students to the theory of automorphic functions and discontinuous groups. Author Joseph Lehner begins by elaborating on the theory of discontinuous groups by the classical method of Poincaré, employing the model of the hyperbolic plane. The necessary hyperbolic geometry is developed in the text. Chapter two develops automorphic functions and forms via the Poincaré series. Formulas for divisors of a function and form are proved and their consequences analyzed. The final chapter is devoted to the connection between automorphic function theory and Riemann surface theory, concluding with some applications of Riemann-Roch theorem. The book presupposes only the usual first courses in complex analysis, topology, and algebra. Exercises range from routine verifications to significant theorems. Notes at the end of each chapter describe further results and extensions, and a glossary offers definitions of terms
Discontinuous groups and automorphic functions by J Lehner( Book )

22 editions published between 1964 and 2000 in English and Italian and held by 567 WorldCat member libraries worldwide

Literaturverz. S. 409 - 418
Lectures on modular forms by J Lehner( Book )

5 editions published in 1969 in English and held by 227 WorldCat member libraries worldwide

Lectures on modular forms by J Lehner( )

7 editions published between 1969 and 2017 in English and Undetermined and held by 54 WorldCat member libraries worldwide

This concise volume presents an expository account of the theory of modular forms and its application to number theory and analysis. Suitable for advanced undergraduates and graduate students in mathematics, the treatment starts with classical material and leads gradually to modern developments. Prerequisites include a grasp of the elements of complex variable theory, group theory, and number theory. The opening chapters define modular forms, develop their most important properties, and introduce the Hecke modular forms. Subsequent chapters explore the automorphisms of a compact Riemann surface, develop congruences and other arithmetic properties for the Fourier coefficients of Klein's absolute modular invariant, and discuss analogies with the Hecke theory as well as with the Ramanujan congruences for the partition function. Substantial notes at the end of each chapter provide detailed explanations of the text's more difficult points
Modular function theory in arithmetic and analysis by J Lehner( Book )

4 editions published in 1968 in English and held by 37 WorldCat member libraries worldwide

On Riccati and Riccati-like equations arising in one-dimensional diffusion problems by I. I Kolodner( )

2 editions published in 1962 in English and held by 22 WorldCat member libraries worldwide

Automorphic forms by J Lehner( Book )

4 editions published in 1976 in English and held by 19 WorldCat member libraries worldwide

A partition function connected with the modulus five by J Lehner( Book )

6 editions published in 1942 in English and held by 17 WorldCat member libraries worldwide

Discontinuous groups and automorphic functions by J Lehner( Book )

1 edition published in 1964 in English and held by 14 WorldCat member libraries worldwide

Discontinuous groups and automorphic functions by J Lehner( Book )

8 editions published between 1964 and 2014 in English and held by 10 WorldCat member libraries worldwide

Discontinuous groups and automorphic functions by J Lehner( )

3 editions published between 1964 and 1990 in English and Undetermined and held by 8 WorldCat member libraries worldwide

Verdauungsapparat by W Bargmann( )

1 edition published in 1936 in German and held by 8 WorldCat member libraries worldwide

Neue Glasmalereien und Kunstverglasungen im modernen Stil by J Lehner( Book )

5 editions published between 1904 and 1905 in German and held by 7 WorldCat member libraries worldwide

A review of software-induced failure experience( )

1 edition published in 2006 in English and held by 6 WorldCat member libraries worldwide

We present a review of software-induced failures in commercial nuclear power plants (NPPs) and in several non-nuclear industries. We discuss the approach used for connecting operational events related to these failures and the insights gained from this review. In particular, we elaborate on insights that can be used to model this kind of failure in a probabilistic risk assessment (PRA) model. We present the conclusions reached in these areas
Lectures on modular forms by J Lehner( Book )

1 edition published in 1969 in Undetermined and held by 6 WorldCat member libraries worldwide

Verdauungsapparat Fünter Band / 3. Teil by W Bargmann( )

1 edition published in 1936 in German and held by 5 WorldCat member libraries worldwide

Die Zerstörung der stadt Jerusalem ... Zweite Auflage. A sermon by J Lehner( Book )

2 editions published in 1871 in German and held by 4 WorldCat member libraries worldwide

Die Zerstörung der Stadt Jerusalem : Fur̈ die kirchliche Vorlesung am X. Sonntage nach Trinitatis bearbeitet von J. Lehner by J Lehner( Book )

2 editions published between 1870 and 1871 in German and held by 4 WorldCat member libraries worldwide

A computer code approach to the stability of earthen embankments by M Reich( Book )

3 editions published in 1975 in English and held by 3 WorldCat member libraries worldwide

Lectures on modular forms( Book )

1 edition published in 1969 in English and held by 3 WorldCat member libraries worldwide

 
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Audience level: 0.60 (from 0.52 for A short co ... to 0.95 for Verdauungs ...)

Alternative Names
Joseph Lehner American mathematician

Joseph Lehner Amerikaans wiskundige (1912-2013)

Joseph Lehner matamaiticeoir Meiriceánach

Joseph Lehner matemàtic estatunidenc

Joseph Lehner matemático estadounidense

Joseph Lehner matemático norte-americano

Joseph Lehner matematico statunitense

Joseph Lehner matemáticu estauxunidense (1912–2013)

Joseph Lehner mathématicien américain

Joseph Lehner US-amerikanischer Mathematiker

Lehner, Joseph

Lehner, Joseph 1912-

Lehner, Joseph 1912-2013

Languages
English (82)

German (11)

Italian (1)