The Library
Distinguishing eigenforms modulo a prime ideal
Tools
Chow, Sam and Ghitza, Alex (2014) Distinguishing eigenforms modulo a prime ideal. Functiones et Approximatio, Commentarii Mathematici, 51 (2). pp. 363-377. doi:10.7169/facm/2014.51.2.8 ISSN 2080-9433.
PDF
1.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (260Kb) |
Official URL: https://doi.org/10.7169/facm/2014.51.2.8
Abstract
Consider the Fourier expansions of two elements of a given space of modular forms. How many leading coefficients must agree in order to guarantee that the two expansions are the same? Sturm [20] gave an upper bound for modular forms of a given weight and level. This was adapted by Ram Murty [16] and Ghitza [5] to the case of two eigenforms of the same level but having potentially different weights. We consider their expansions modulo a prime ideal, presenting a new bound. In the process of analysing this bound, we generalise a result of Bach and Sorenson [2], who provide a practical upper bound for the least prime in an arithmetic progression.
Item Type: | Journal Article | ||||||
---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Functiones et Approximatio, Commentarii Mathematici | ||||||
Publisher: | Adam Mickiewicz University | ||||||
ISSN: | 2080-9433 | ||||||
Official Date: | 26 November 2014 | ||||||
Dates: |
|
||||||
Volume: | 51 | ||||||
Number: | 2 | ||||||
Page Range: | pp. 363-377 | ||||||
DOI: | 10.7169/facm/2014.51.2.8 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 18 September 2019 | ||||||
Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |