Abstract
Finite upper half planes are finite field analogues of the Poincaré upper half plane. We introduce modular forms of new type on finite upper half planes, and consider related topics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Angel, J., Celniker, N., Poulos, S., Terras, A., Trimble, C., Velasquez, E.: Special functions on finite upper half planes. Contemporary Math. 138, 1–26 (1992)
Freitag, E.: Hilbert Modular Forms. Springer-Verlag, Heidelberg (1990)
Harish-Chandra.: Eisenstein series over finite fields, in Collected Papers, vol. 4, pp. 8–21. Springer-Verlag, Berlin Heidelberg (1984)
Lee, M.H.: Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms. Lecture Notes in Mathematics, vol. 1845. Springer, Heidelberg (2004)
Terras, A.: Fourier Analysis on Finite Groups and Applications. London Mathematical Society Student Texts, vol. 43. Cambridge Univ. Press, Cambridge (1999)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hamahata, Y. (2007). A Note on Modular Forms on Finite Upper Half Planes. In: Carlet, C., Sunar, B. (eds) Arithmetic of Finite Fields. WAIFI 2007. Lecture Notes in Computer Science, vol 4547. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73074-3_3
Download citation
DOI: https://doi.org/10.1007/978-3-540-73074-3_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73073-6
Online ISBN: 978-3-540-73074-3
eBook Packages: Computer ScienceComputer Science (R0)