Abstract
In this section we study the following two problems: construct a basis of the Eisenstein space ε(4N, k+1/2, χl) which are eigenfunctions for all Hecke operators, and calculate their values at all cusp points.
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References
D. Y. Pei. Eisenstein series of weight 3/2: I, II, Trans. Amer. Math. Soc. 1982. 274: 573–606 and 1984. 283: 589-603.
G. Shimura. Introduction to the Arithmetic Theory of Automorphic Functions, Iwanami Shoten: Publishers and Princeton University Press, 1971.
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© 2012 Science Press Beijing and Springer-Verlag Berlin Heidelberg
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Wang, X., Pei, D. (2012). Construction of Eisenstein Series. In: Modular Forms with Integral and Half-Integral Weights. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29302-3_7
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DOI: https://doi.org/10.1007/978-3-642-29302-3_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29301-6
Online ISBN: 978-3-642-29302-3
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