Matilde Lalin, Tushant Mittal
Published 2017-08-08Version 1
We consider a variation of the Mahler measure where the defining integral is performed over a more general torus. We focus our investigation on two particular polynomials related to certain elliptic curve $E$ and we establish new formulas for this variation of the Mahler measure in terms of $L'(E,0)$.
Comments: 26 pages, 1 figure
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Surjectivity of mod 2^n representations of elliptic curves
Trace of Frobenius endomorphism of an elliptic curve with complex multiplication
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