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20
Theta Functions
Properties
20.3
Graphics
20.3
Graphics
20.4
Values at
= 0
Figure 20.3.2
(See
in context
.)
Figure 20.3.2:
,
,
= 0.05, 0.5, 0.7, 0.9. For
,
is convex in
for
. Here
approximately, where
corresponds to the maximum value of Dedekind’s eta function
as depicted in Figure
23.16.1
.
Annotations:
Symbols:
: Dedekind’s eta function (or Dedekind modular function)
,
: theta function
,
: base of exponential function
and
: nome
Keywords:
Dedekind’s eta function
,
modular functions
,
theta functions
Permalink:
http://dlmf.nist.gov/20.3.F2.mag
Encodings:
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,
pdf