Higher integral moments of automorphic L-functions in short intervals

Autor:	Xuanxuan Xiao
Přispěvatelé:	Institut Élie Cartan de Lorraine (IECL), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), XIAO, XUANXUAN
Rok vydání:	2017
Předmět:	Pure mathematics Automorphic L-function Mathematics::Number Theory Automorphic form Jacquet–Langlands correspondence automorphic forms 01 natural sciences Mathematics::Group Theory symbols.namesake L-functions 0103 physical sciences Langlands–Shahidi method 0101 mathematics Mathematics Moment Algebra and Number Theory Conjecture Converse theorem 010102 general mathematics Mathematical analysis [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] Moment (mathematics) Riemann hypothesis symbols 010307 mathematical physics [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Zdroj:	Journal of Number Theory. 171:169-197
ISSN:	0022-314X
DOI:	10.1016/j.jnt.2016.07.004
Popis:	We consider the higher integral moments for automorphic L-functions in short intervals and give a proof for the conjecture of Conrey et al. under Generalized Riemann Hypothesis for automorphic L-function.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48245064608710063e27aa4065a9dd0b https://doi.org/10.1016/j.jnt.2016.07.004 Zobrazit plný text záznamu Full Text from ScienceDirect