Abstract
In this chapter we elucidate the basic facts which lead to the Eichler-Shimura formula, and we explain its arithmetical importance. Within this monograph, we can only outline the far-reaching connections. More detailed information may for example be found in [Shim71], [SwBi75] and [Knap92].
Keywords
- Modular Form
- Fourier Expansion
- Cusp Form
- Modular Function
- Congruence Subgroup
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© 2001 Springer-Verlag Berlin Heidelberg
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(2001). Elliptic Modular Curves. In: Adelmann, C. (eds) The Decomposition of Primes in Torsion Point Fields. Lecture Notes in Mathematics, vol 1761. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44949-3_4
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DOI: https://doi.org/10.1007/3-540-44949-3_4
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42035-4
Online ISBN: 978-3-540-44949-2
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