Abstract
Recall that a non empty subset S of a topological space X is called discrete, if S is closed in X and the induced topology on S is discrete. For subsets of ℝn we have the following equivalent characterization.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Apostol, T. M., Modular Functions and Dirichlet Series in Number Theory, GTM 41, Springer-Verlag, New York- Berlin, 1976.
Brown, A., p-adic Theta Functions and Tate Curves, this volume.
Chandrasekharan K., Elliptic Functions, Grundlehren der mathematischen Wissenschaften 281, Springer-Verlag, Berlin-Tokyo, 1985.
Lang, S., Elliptic Functions, GTM 112, Springer-Verlag, New York -Berlin, 1987, (second Edition).
Manickam, M and Ramakrishnan, B., An Introduction to Modular Forms and Hecke Operators, this volume.
Remmert, Theory of Complex Functions, Translated by Robert B. Burckel, Springer-Verlag, New York-Hongkong, 1991.
Serre, J. P., A course in Arithmetic, Springer, International Student Edition, 1973.
Silverman, J., The Arithmetic Theory of Elliptic Curves, GTM 106, Springer-Verlag, New York-Tokyo, 1986.
Silverman, J., Advanced Topics in Arithmetic of Elliptic Curves, GTM 151, Springer-Verlag, New York-Budapest, 1994.
Proceedings of the Instructional Conference on Elliptic Curves, Unpublished Lecture Notes by TIFR, Mumbai 1991.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Hindustan Book Agency
About this chapter
Cite this chapter
Shastri, P. (2003). Elliptic Functions. In: Bhandari, A.K., Nagaraj, D.S., Ramakrishnan, B., Venkataramana, T.N. (eds) Elliptic Curves, Modular Forms and Cryptography. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-15-6_15
Download citation
DOI: https://doi.org/10.1007/978-93-86279-15-6_15
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-42-5
Online ISBN: 978-93-86279-15-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)