Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

Finding all Borcherds product paramodular cusp forms of a given weight and level


Authors: Cris Poor, Jerry Shurman and David S. Yuen
Journal: Math. Comp. 89 (2020), 2435-2480
MSC (2010): Primary 11F46; Secondary 11F55, 11F30, 11F50
DOI: https://doi.org/10.1090/mcom/3532
Published electronically: March 31, 2020
MathSciNet review: 4109573
Full-text PDF
View in AMS MathViewer New

Abstract | References | Similar Articles | Additional Information

Abstract: We present an algorithm to compute all Borcherds product paramodular cusp forms of a specified weight and level, describing its implementation in some detail and giving examples of its use.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC (2010): 11F46, 11F55, 11F30, 11F50

Retrieve articles in all journals with MSC (2010): 11F46, 11F55, 11F30, 11F50


Additional Information

Cris Poor
Affiliation: Department of Mathematics, Fordham University, Bronx, New York 10458
Email: poor@fordham.edu

Jerry Shurman
Affiliation: Department of Mathematics, Reed College, Portland, Oregon 97202
Email: jerry@reed.edu

David S. Yuen
Affiliation: Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822
Email: yuen888@hawaii.edu

DOI: https://doi.org/10.1090/mcom/3532
Keywords: Paramodular cusp form, Borcherds product
Received by editor(s): January 12, 2019
Received by editor(s) in revised form: November 13, 2019, and January 11, 2020
Published electronically: March 31, 2020
Article copyright: © Copyright 2020 American Mathematical Society