On some first sign change problems of modular forms

Autor:	Seokho Jin
Rok vydání:	2019
Předmět:	010101 applied mathematics Cusp (singularity) Pure mathematics Applied Mathematics 010102 general mathematics Modular form 0101 mathematics 01 natural sciences Analysis Eigenvalues and eigenvectors Prime (order theory) Mathematics Sign (mathematics)
Zdroj:	Journal of Mathematical Analysis and Applications. 472:577-583
ISSN:	0022-247X
Popis:	We give two different bounds, namely, for the first prime p such that the p-th Hecke eigenvalue λ f ( p ) is negative when f is a normalized cuspidal newform of level Γ 0 ( N ) , and for the first sign change for general cusp forms, which improves the bound given by Choie and Kohnen [3] in the level aspect in the case of prime level.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a0b63692fa144bf76c667ad57068a097 https://doi.org/10.1016/j.jmaa.2018.11.041 Zobrazit plný text záznamu Full Text from ScienceDirect