Zaizhao Meng

Publications (2)0 Total impact

• Source

  Available from: ArXiv

  Article: Inequalities for Continued Fractions, II

  Zaizhao Meng
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  ABSTRACT: In this paper, we investigate the monotone property of the continued fractions $G(m,\lambda)$ as a function of $m$ and $\lambda$. In particular, we obtain new inequality for the relative continued fractions.
  12/2010;
• Source

  Available from: ArXiv

  Article: A Note on the Linnik's constant

  Zaizhao Meng
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  ABSTRACT: Let $P(a,q)$ be the least prime in the arithmetic progression $\{n\equiv a(mod\ q)\}$. In this note, when $q$ has bounded cubic part and $(a,q)=1$, we combine the Heath-Brown's method and the Burgess's bounds for L-functions to obtain $ P(a,q)\ll q^{4.5}.$
  10/2010;