@article{Guan2024, 
author = {Bin Guan},
title = {A prime number theorem in short intervals for dihedral Maass newforms},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {4896-4906},
keywords = {prime number theorem, Hecke eigenvalue, Rankin-Selberg L-function, zero-free region, zero density estimate},
url = {https://www.sciopen.com/article/10.3934/math.2024238},
doi = {10.3934/math.2024238},
abstract = {In this paper, we prove a prime number theorem in short intervals for the Rankin-Selberg    L-function    L  (  s  ,  ϕ  ×  ϕ  ), where    ϕ is a fixed dihedral Maass newform. As an application, we give a lower bound for the proportion of primes in a short interval at which the Hecke eigenvalues of the dihedral form are greater than a given constant.}
}