Triple correlation sums of coefficients of θ-series

Autor: Fei Hou, Bin Chen
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 10, Pp 25275-25287 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231289?viewType=HTML
Popis: We investigate the triple correlation sums of coefficients of $ \theta $-series and prove an asymptotic formula with power-saving error term. As a result, we present that this type of sum is non-trivial in the regime $ H\ge X^{2/3+\varepsilon} $.
Databáze: Directory of Open Access Journals