Abstract
AbstractIn 2008, Soundararajan showed that there exists a normalized Hecke eigenform of weight and level one such that for sufficiently large . In this note, we show that for any and for all sufficiently large , the number of normalized Hecke eigenforms of weight and level one for which is . For an odd fundamental discriminant , let be the set of all cuspidal normalized Hecke eigenforms of weight and level dividing . When the real primitive Dirichlet character satisfies , we investigate the number of for which takes extremal values.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
