Skip to main content
Modular forms with large coefficient fields via congruences
Published Web Location
https://link.springer.com/article/10.1007/s40993-015-0003-9No data is associated with this publication.
Abstract
We use the theory of congruences between modular forms to prove the existence of newforms with square-free level having a fixed number of prime factors such that the degree of their coefficient fields is arbitrarily large. We also prove a similar result for certain almost square-free levels.
Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.