Twisted second moments and explicit formulae of the Riemann zeta-function
Twisted second moments and explicit formulae of the Riemann zeta-function
复制标题
黎曼 zeta 函数的扭曲二阶矩和显式公式
DOI：
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Nicolas Robles
中科院分区：
文献类型：
--
作者：
Nicolas Robles
研究和扩展了解析数论与黎曼ζ函数的几个方面。这些包括:
Several aspects connecting analytic number theory and the Riemann zeta-function are studied and expanded. These include:
1. explicit formulae relating the Mobius function to the non-trivial zeros of the zeta
function;
2. generalized results on sums of Ramanujan sums;
3. new results on the combinations of Riemann $Xi$-functions on bounded vertical shifts and their zeros on the critical line;
4. a generalization of moment integrals involving the Riemann $Xi$-function;
5. asymptotics for the mean square of the product of the Riemann $xi$-function and new Dirichlet polynomials;
6. zeta regularization on tori and a new proof of the Chowla-Selberg formula.
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影响因子：
0.7
作者：
Bui H
通讯作者：
Bui H