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Abstract
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For a fixed singular modulus
,
we give an effective lower bound of the norm of
for another
singular modulus
with large discriminant. We then generalize this result for
, where
is the
-th
modular polynomial.
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Keywords
difference of singular moduli
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Mathematical Subject Classification
Primary: 11F03
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Milestones
Received: 25 April 2020
Revised: 3 March 2021
Accepted: 23 March 2021
Published: 23 June 2021
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