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MR2537114 (2010h:11189) 11R65 (11R29)
Watanabe, Takao; Yoshimitsu, Ryusuke A bound of the number of reduced Arakelov divisors of a number field. Quadratic forms—algebra, arithmetic, and geometry, 399–408, Contemp. Math., 493, Amer. Math. Soc., Providence, RI, 2009.
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