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

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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

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

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title = "Computing Classical Modular Forms",

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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

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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

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Computing Classical Modular Forms

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