# Mahler measure numerology

@inproceedings{Zudilin2021MahlerMN, title={Mahler measure numerology}, author={Wadim Zudilin}, year={2021} }

|x1|=···=|xk|=1 log |P (x1, . . . , xk)| dx1 x1 · · · dxk xk of an k-variable (Laurent) polynomial P (x1, . . . , xk) ∈ C[x1, . . . , xk] is a quite unique attractor of numerous problems in mathematics [3]. One of big problems (well open even in the case k = 1!) is the range of the Mahler measures attached to polynomials with integer coefficients [1]. A particular aspect of this problem is a remarkable connection of such Mahler measures to the L-values of algebraic varieties, usually related to… Expand

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