摘要翻译:
当多项式中出现的变量的某些幂可被p整除时,我们以前关于指数和的定理往往不适用或没有给出尖锐的结果。本文通过系统地应用“p-幂约简”弥补了这一缺陷,使我们的结果得到了加强和推广。
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英文标题:
《Exponential sums nondegenerate relative to a lattice》
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作者:
Alan Adolphson and Steven Sperber
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Number Theory 数论
分类描述:Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数,丢番图方程,解析数论,代数数论,算术几何,伽罗瓦理论
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
Our previous theorems on exponential sums often did not apply or did not give sharp results when certain powers of a variable appearing in the polynomial were divisible by p. We remedy that defect in this paper by systematically applying "p-power reduction," making it possible to strengthen and extend our earlier results.
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PDF链接:
https://arxiv.org/pdf/0808.2755