Identities between Mahler measures

Mathematics – Number Theory

Scientific paper

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Scientific paper

The purpose of this short note is to give a proof of the following identity
between (logarithmic) Mahler measures
m(y^2+2xy+y-x^3-2x^2-x)=5/7*m(y^2+4xy+y-x^3+x^2) which is one of many examples
that arise from the comparison of Mahler measures and special values of
L-functions.

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