Theta function and hilbert modular forms of half integral weight
- 67 Downloads
In this paper a kind of theta function is constructed by means of spherical function. And we also obtain some Hilbert modular forms of half integral weight.
KeywordsModular Form Theta Function Spherical Function Integral Weight Half Integral Weight
Unable to display preview. Download preview PDF.
- Feng Xuning,An analog of η(z) in the Hilbert modular case, J. Number Theory,17:1(1983), 116–126.Google Scholar
- Hecke, E., Lectures on the theory of algebraic numbers (Translated from German), Springer-Verlag, 1981, 196–200.Google Scholar
- Goro Shimura,On modular forms of half integral weight, Annals of Mathematics,97:3(1973), 440–481.Google Scholar
- Stein, E. M. & Weiss, G., Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, 155, 1971.Google Scholar
© Science Press 1995