A note on the Laplace transform of the square in the circle problem

A note on the Laplace transform of the square in the circle problem
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2003-12
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通讯作者:
A. Ivi'c
A. Ivi'c
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其他
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作者:
A. Ivi'c

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.如果P(x)是圆问题的误差项,则证明了改进了以前的结果,误差项中的指数为56。利用F.其中r(n)是n作为两个整数平方和的表示数。
. If P ( x ) is the error term in the circle problem, then it is proved that improving the earlier result with exponent 56 in the error term. The new bound is obtained by using results of F. Chamizo on the correlated sum where r ( n ) is the number of representations of n as a sum of two integer squares.