一项关于乘积之和的研究。
A study in sums of products.
作者信息
Fouvry Étienne, Kowalski Emmanuel, Michel Philippe
机构信息
Université Paris Sud, Laboratoire de Mathématique, Campus d'Orsay, 91405 Orsay Cedex, France.
ETH Zürich - D-MATH, Rämistrasse 101, 8092 Zürich, Switzerland
出版信息
Philos Trans A Math Phys Eng Sci. 2015 Apr 28;239(2040). doi: 10.1098/rsta.2014.0309.
Abstract
We give a general version of cancellation in exponential sums that arise as sums of products of trace functions satisfying a suitable independence condition related to the Goursat-Kolchin-Ribet criterion, in a form that is easily applicable in analytic number theory.
摘要
我们给出指数和中消去法的一个一般版本，这些指数和是作为满足与古尔萨 - 科尔钦 - 里贝特准则相关的合适独立性条件的迹函数乘积之和出现的，其形式易于应用于解析数论。
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引用本文的文献
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Number fields and function fields: coalescences, contrasts and emerging applications.数域与函数域：融合、对比及新兴应用。
Philos Trans A Math Phys Eng Sci. 2015 Apr 28;239(2040). doi: 10.1098/rsta.2014.0315.
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