Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)
Acta Arithmetica (1997)
- Volume: 82, Issue: 4, page 379-392
- ISSN: 0065-1036
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topLiang-Cheng Zhang. "Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)." Acta Arithmetica 82.4 (1997): 379-392. <http://eudml.org/doc/207099>.
@article{Liang1997,
author = {Liang-Cheng Zhang},
journal = {Acta Arithmetica},
keywords = {Kronecker's limit formula; modular equations; Hilbert class field; Weber's invariant; Ramanujan's class invariants},
language = {eng},
number = {4},
pages = {379-392},
title = {Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)},
url = {http://eudml.org/doc/207099},
volume = {82},
year = {1997},
}
TY - JOUR
AU - Liang-Cheng Zhang
TI - Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)
JO - Acta Arithmetica
PY - 1997
VL - 82
IS - 4
SP - 379
EP - 392
LA - eng
KW - Kronecker's limit formula; modular equations; Hilbert class field; Weber's invariant; Ramanujan's class invariants
UR - http://eudml.org/doc/207099
ER -
References
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- [10] K. G. Ramanathan, Some applications of Kronecker's limit formula, J. Indian Math. Soc. 52 (1987), 71-89. Zbl0682.12002
- [11] S. Ramanujan, Notebooks (2 volumes), Tata Institute of Fundamental Research, Bombay, 1957.
- [12] S. Ramanujan, Modular equations and approximations to π, Quart. J. Math. (Oxford) 45 (1914), 350-372. Zbl45.1249.01
- [13] C. L. Siegel, Advanced Analytic Number Theory, Tata Institute of Fundamental Research, Bombay, 1980. Zbl0478.10001
- [14] G. N. Watson, Some singular moduli (I), Quart. J. Math. 3 (1932), 81-98. Zbl0005.00902
- [15] H. Weber, Lehrbuch der Algebra, Vol. III, 2nd ed., Braunschweig, 1908 (reprinted by Chelsea, New York, 1961).
- [16] L.-C. Zhang, Ramanujan's class invariants, Kronecker's limit formula and modular equations (II), in: Analytic Number Theory, Proceedings of a Conference in Honor of H. Halberstam, Birkhäuser, 1996, 817-838. Zbl0877.11062
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