Abstract
Let \({\phi}\) be a Drinfeld A-module of rank 2 defined over C ∞. We explicitly determine the pattern of valuations of the exponential functions attached to \({\phi}\) and discuss applications to the study of zeroes of para-Eisenstein series.
Similar content being viewed by others
References
Chen, I., Lee, Y.: Newton polygons, successive minima, and different bounds for Drinfeld modules of rank 2. Proc. Am. Math. Soc. (to appear)
Gekeler E.-U.: A survey on Drinfeld modular forms. Turkish J. Math. 23(4), 485–518 (1999)
Gekeler E.-U.: On the Drinfeld discriminant function. Compos. Math. 106, 181–202 (1997)
Gekeler E.-U.: Para-Eisenstein series for the modular group \({GL(2,\mathbb{F}_q[T])}\) . Taiwan. J. Math. 15(4), 1463–1475 (2011)
Gekeler E.-U.: Zero distribution and decay at infinity of Drinfeld modular coefficient forms. Int. J. Number Theory. 7(3), 671–693 (2011)
Goss D.: Basic Structures of Function Field Arithmetic. Springer-Verlag, Berlin (1996)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chen, I., Lee, Y. Coefficients of exponential functions attached to Drinfeld modules of rank 2. manuscripta math. 139, 123–136 (2012). https://doi.org/10.1007/s00229-011-0505-2
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00229-011-0505-2