Abstract
In this article we compute a formula for the trace of the Hecke operators on the space S * k (N), which is the space generated by newforms of level dividing N, where N is a squarefree positive integer, and of weight k, where k is a positive even integer. This is of interest because, while the computation of the trace of the Hecke operators on the whole space of cusp forms S k (N) is strongly dependent on the prime factorization of N, the trace on this subspace is only dependent on the magnitude of N and on its residue modulo a number that depends only on n, where n is the number associated to the Hecke operator T n . An interesting consequence of this calculation is the fact that for any fixed nonsquare n and even k, the trace of the Hecke operator T k (N) on the space S * k (N) has an absolute bound for all squarefree N.
Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
