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Kronecker's Jugendtraum and modular functions

By: Material type: TextTextLanguage: German Series: Studies in the Development of Modern Mathematics ; 2Publication details: New York Gordon and Breach Science Publishers 1991Description: x, 411pISBN:
  • 2881247547 (HB)
Subject(s):
Contents:
Part I Kronecker Biography Main works The impact of Kronecker's ideas Prehistory. Elliptic functions, the theory of equations, and arithmetic by the middle of the 19th century Predecessors; a complex multiplication according to Gauss, Abel, and Eisenstein Kronecker's synthesis Complex multiplication after Kronecker Definitions and results Part II Zur Theorie der elliptischen Funktionen, XI (L.Kronecker) Part III Modular functions, modular forms, and automorphic representations Modular arithmetic The function-field case Applications The arithmetic of elliptic curves
Item type: BOOKS
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Holdings
Home library Call number Materials specified Status Date due Barcode
IMSc Library 515.178.3 VLA (Browse shelf(Opens below)) Available 29438

Includes index

Includes bibliography (p. 388-401) and references

Part I Kronecker
Biography
Main works
The impact of Kronecker's ideas
Prehistory. Elliptic functions, the theory of equations, and arithmetic by the middle of the 19th century
Predecessors; a complex multiplication according to Gauss, Abel, and Eisenstein
Kronecker's synthesis
Complex multiplication after Kronecker
Definitions and results
Part II Zur Theorie der elliptischen Funktionen, XI (L.Kronecker)
Part III Modular functions, modular forms, and automorphic representations
Modular arithmetic
The function-field case
Applications
The arithmetic of elliptic curves

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The Institute of Mathematical Sciences, Chennai, India