Computing Classical Modular Forms

Alex Best; Jonathan W Bober; Andrew R Booker; Edgar Costa; John Cremona; Maarten Derickx; Min Lee; David Lowry-Duda; David Roe; Andrew Sutherland; John Voight

doi:10.1007/978-3-030-80914-0_4

Computing Classical Modular Forms

Alex Best, Jonathan W Bober, Andrew R Booker, Edgar Costa, John Cremona, Maarten Derickx, Min Lee, David Lowry-Duda, David Roe, Andrew Sutherland^*, John Voight

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

183 Downloads (Pure)

Abstract

We discuss practical and some theoretical aspects of computing a database of classical modular forms in the L-functions and modular forms database (LMFDB).

Original language	English
Title of host publication	Arithmetic Geometry, Number Theory, and Computation
Publisher	Springer
Chapter	4
Pages	131-213
Number of pages	82
Edition	1
ISBN (Electronic)	978-3-030-80914-0
ISBN (Print)	978-3-030-80916-4, 978-3-030-80913-3
DOIs	https://doi.org/10.1007/978-3-030-80914-0_4
Publication status	Published - 16 Mar 2022

Publication series

Name	Simons Symposia
Publisher	Springer
ISSN (Print)	2365-9564
ISSN (Electronic)	2365-9572

Access to Document

10.1007/978-3-030-80914-0_4

Full-text PDF (author’s accepted manuscript)
This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Springer at https://doi.org/10.1007/978-3-030-80914-0_4. Please refer to any applicable terms of use of the publisher.
Accepted author manuscript, 5.47 MB

Handle.net

Persistent link

Cite this

@inbook{06c1c2b45d754edb9d9ffae622fc3bdb,

title = "Computing Classical Modular Forms",

abstract = "We discuss practical and some theoretical aspects of computing a database of classical modular forms in the L-functions and modular forms database (LMFDB).",

author = "Alex Best and Bober, {Jonathan W} and Booker, {Andrew R} and Edgar Costa and John Cremona and Maarten Derickx and Min Lee and David Lowry-Duda and David Roe and Andrew Sutherland and John Voight",

year = "2022",

month = mar,

day = "16",

doi = "10.1007/978-3-030-80914-0_4",

language = "English",

isbn = "978-3-030-80916-4",

series = "Simons Symposia",

publisher = "Springer",

pages = "131--213",

booktitle = "Arithmetic Geometry, Number Theory, and Computation",

edition = "1",

}

TY - CHAP

T1 - Computing Classical Modular Forms

AU - Best, Alex

AU - Bober, Jonathan W

AU - Booker, Andrew R

AU - Costa, Edgar

AU - Cremona, John

AU - Derickx, Maarten

AU - Lee, Min

AU - Lowry-Duda, David

AU - Roe, David

AU - Sutherland, Andrew

AU - Voight, John

PY - 2022/3/16

Y1 - 2022/3/16

N2 - We discuss practical and some theoretical aspects of computing a database of classical modular forms in the L-functions and modular forms database (LMFDB).

AB - We discuss practical and some theoretical aspects of computing a database of classical modular forms in the L-functions and modular forms database (LMFDB).

U2 - 10.1007/978-3-030-80914-0_4

DO - 10.1007/978-3-030-80914-0_4

M3 - Chapter in a book

SN - 978-3-030-80916-4

SN - 978-3-030-80913-3

T3 - Simons Symposia

SP - 131

EP - 213

BT - Arithmetic Geometry, Number Theory, and Computation

PB - Springer

ER -

Computing Classical Modular Forms

Abstract

Publication series

Access to Document

Handle.net

Fingerprint

Cite this