Mahler measures of elliptic modular surfaces
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DOI: 10.1090/tran/7524
Abstract: In this article we develop a new method for relating Mahler measures of three-variable polynomials that define elliptic modular surfaces to L-values of modular forms. Using an idea of Deninger, we express the Mahler measure… read more here.
Keywords: mahler measures; measures elliptic; modular surfaces; mahler ... See more keywords
Small Mahler measures with bounds on the house and shortness
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DOI: 10.4153/s0008439524000900
Abstract: Abstract We show that for any $\varepsilon>0$ , the number of monic, reciprocal, length- $5$ integer polynomials that have house at least $1+\varepsilon $ is finite. The proof is algorithmic, and we are consequently able… read more here.
Keywords: mahler measures; house least; polynomials house; mahler ... See more keywords