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Additional
modular form
English Wikipedia - The Free Encyclopedia
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Modular form
In
mathematics
, a
modular form
is a (complex)
analytic function
on the
upper half-plane
satisfying a certain kind of
functional equation
with respect to the
group action
of the
modular group
, and also satisfying a growth condition. The theory of modular forms therefore belongs to
complex analysis
but the main importance of the theory has traditionally been in its connections with
number theory
. Modular forms appear in other areas, such as
algebraic topology
and
string theory
.
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