Generators of Siegel modular function fields of higher genus and level

Autor:	Ja Kyung Koo, Dong Sung Yoon, Dong Hwa Shin
Rok vydání:	2019
Předmět:	Pure mathematics Applied Mathematics 010102 general mathematics Modular form Field (mathematics) Cyclotomic field 01 natural sciences 010101 applied mathematics Genus (mathematics) 0101 mathematics Fourier series Analysis Quotient Mathematics Meromorphic function
Zdroj:	Journal of Mathematical Analysis and Applications. 472:447-465
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2018.11.034
Popis:	For positive integers g and N, let F N ( g ) be the field of meromorphic Siegel modular functions of genus g and level N whose Fourier coefficients belong to the Nth cyclotomic field. We present explicit generators of F N ( g ) over F 1 ( g ) in terms of quotient of theta constants, when g ≥ 2 and N ≥ 3 .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c5a8ae783b1b46add99d1afecde6b71b https://doi.org/10.1016/j.jmaa.2018.11.034 Zobrazit plný text záznamu Full Text from ScienceDirect