On Exponential Sums Involving the Ideal Counting Function in Quadratic Number Fields
On Exponential Sums Involving the Ideal Counting Function in Quadratic Number Fields
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关于二次数域中涉及理想计数函数的指数和
DOI：
10.1007/s00605-002-0495-y
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
J. Furuya
中科院分区：
文献类型：
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作者：
J. Furuya
设χ为Dirichlet特征模> 1,fχ (n)为算术函数，由Riemann ζ函数与χ in对应的Dirichlet函数积而成。本文研究了涉及算术函数fχ (n)的指数和的渐近性。特别地，我们研究了这些指数和的求和公式和误差项的均方公式。
Let χ be a Dirichlet character modulok> 1, andFχ(n) the arithmetical function which is generated by the product of the Riemann zeta-function and the DirichletL-function corresponding to χ in . In this paper we study the asymptotic behaviour of the exponential sums involving the arithmetical functionFχ(n). In particular, we study summation formulas for these exponential sums and mean square formulas for the error term.