Abstract
We give congruences modulo powers of p in {3, 5, 7} for the Fourier coefficients of certain modular functions in level p with poles only at 0, answering a question posed by Andersen and Jenkins and continuing work done by the Jenkins, the author, and Moss. The congruences involve a modulus that depends on the base p expansion of the modular form's order of vanishing at infinity.
Degree
MS
College and Department
Physical and Mathematical Sciences; Mathematics
Rights
http://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Keck, Ryan Austin, "Congruences for Coefficients of Modular Functions in Levels 3, 5, and 7 with Poles at 0" (2020). Theses and Dissertations. 8137.
https://scholarsarchive.byu.edu/etd/8137
Date Submitted
2020-03-01
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd11089
Keywords
modular forms, congruences, Fourier coefficients
Language
English