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research
Rapid computation of L-functions for modular forms
Authors
Arias
Berry
+21 more
Booker
Booker
Epstein
Good
Heath-Brown
Hiary
Hiary
Iwaniec
Lagarias
Odlyzko
Odlyzko
Pankaj Vishe
Rubinstein
Sarnak
Schönhage
Solomonovich
Traub
Traub
Turing
Venkatesh
Voight
Publication date
18 October 2011
Publisher
'Oxford University Press (OUP)'
Doi
Cite
View
on
arXiv
Abstract
Let
f
f
f
be a fixed (holomorphic or Maass) modular cusp form, with
L
L
L
-function
L
(
f
,
s
)
L(f,s)
L
(
f
,
s
)
. We describe an algorithm that computes the value
L
(
f
,
1
/
2
+
i
T
)
L(f,1/2+ iT)
L
(
f
,
1/2
+
i
T
)
to any specified precision in time
O
(
1
+
∣
T
∣
7
/
8
)
O(1+|T|^{7/8})
O
(
1
+
∣
T
∣
7/8
)
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oai:pure.mpg.de:item_3121384
Last time updated on 08/08/2019
Crossref
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info:doi/10.1093%2Fimrn%2Frns1...
Last time updated on 11/12/2019