On the Zhang–Zagier measure
2018 ◽
Vol 14
(10)
◽
pp. 2663-2671
We first improve the known lower bound for the absolute Zhang–Zagier measure in the general case. Then we restrict our study to totally positive algebraic integers. In this case, we are able to find six points for the related spectrum. At last, we give inequalities involving the Zhang–Zagier measure, the Mahler measure and the length of such integers.
Two new points in the spectrum of the absolute Mahler measure of totally positive algebraic integers
1996 ◽
Vol 65
(213)
◽
pp. 307-312
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2014 ◽
Vol 90
(3)
◽
pp. 391-403
2019 ◽
Vol 15
(01)
◽
pp. 173-181
Keyword(s):
2018 ◽
Vol 98
(1)
◽
pp. 70-76
2011 ◽
Vol 80
(274)
◽
pp. 1041-1041
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1987 ◽
Vol 30
(1)
◽
pp. 3-8
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