Theta operators, Goss polynomials, and v-adic modular forms

Autor:	Papanikolas, Matthew A., Zeng, Guchao
Rok vydání:	2016
Předmět:	Mathematics - Number Theory 11F52 (Primary) 11F33 11G09 (Secondary)
Zdroj:	J. Th\'eor. Nombres Bordeaux 29 (2017), no. 3, 729-753
Druh dokumentu:	Working Paper
Popis:	We investigate hyperderivatives of Drinfeld modular forms and determine formulas for these derivatives in terms of Goss polynomials for the kernel of the Carlitz exponential. As a consequence we prove that v-adic modular forms in the sense of Serre, as defined by Goss and Vincent, are preserved under hyperdifferentiation. Moreover, upon multiplication by a Carlitz factorial, hyperdifferentiation preserves v-integrality. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1605.04235 Zobrazit plný text záznamu View this record from Arxiv