On the Computation of Class Polynomials with “Thetanullwerte” and Its Applications to the Unit Group Computation

DOI10.1080/10586458.2011.565234zbMath1269.11059OpenAlexW2031669615MaRDI QIDQ4915390

Franck Leprévost, Osmanbey Uzunkol, Michael E. Pohst

Publication date: 10 April 2013

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1317924420

zbMATH Keywords

theta functionscomplex multiplicationclass fields

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Analytic computations (11Y35)

Cites Work

• A lower regulator bound for number fields
• Weber's class invariants revisited
• A taxonomy of pairing-friendly elliptic curves
• Fast evaluation of modular functions using Newton iterations and the AGM
• Implementing the asymptotically fast version of the elliptic curve primality proving algorithm
• Die singulären Werte der Weberschen Funktionen f, f1, f2, 2, 3.
• Elliptic units of cyclic unramified extensions of complex quadratic fields
• Advances in Elliptic Curve Cryptography
• Weber's class invariants

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