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math.NT2010
Inequalities for Continued Fractions, II
Zaizhao Meng
In this paper, we investigate the monotone property of the continued fractions as a function of and . In particular, we obtain new inequality for the relative conti…
math.NT2010★ 1 cited
A Note on the Linnik's constant
Zaizhao Meng
Let be the least prime in the arithmetic progression . In this note, when has bounded cubic part and , we combine the Heath-Brown's met…
math.NT2008
On a variance for twins of free numbers in arithmetic progressions
Zaizhao Meng
In this paper, we give a new upper bound of Barban-Davenport-Halberstam type for twins of free numbers in arithmetic progressions.