Generic exponential sums associated with polynomials of degree 3 in two variables

Generic exponential sums associated with polynomials of degree 3 in two variables
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DOI:
10.1007/s10114-012-0237-6
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发表时间:
2012-04
期刊:
Acta Mathematica Sinica, English Series
影响因子:
--
通讯作者:
Chuanze Niu
Chuanze Niu
中科院分区:
其他
文献类型:
--
作者:
Chuanze Niu

文献摘要

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利用Dwork的解析方法研究了二元三次多项式指数和L-函数的一般Newton多边形。证明了Wan的猜想在这种情况下是正确的。
The generic Newton polygon ofL-functions associated with the exponential sums of polynomials of degree 3 in two variables is studied by Dwork’s analytic methods. Wan’s conjecture is shown to be true for this case.