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arXiv 1603.09587math.PRmath.CO
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关于格凸链的个数

On the number of lattice convex chains

Julien Bureaux, Nathanaël Enriquez

摘要:

给出了连接原点和对角线远点的平面格子凸多边形线数的渐近公式。该公式涉及zeta函数的非平凡零点,并导致黎曼假设成立的充要条件。

英文摘要:

An asymptotic formula is presented for the number of planar lattice convex polygonal lines joining the origin to a distant point of the diagonal. The formula involves the non-trivial zeros of the zeta function and leads to a necessary and sufficient condition for the Riemann Hypothesis to hold.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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