Distribution of the error term for the number of lattice points inside a shifted circle
نویسندگان
چکیده
منابع مشابه
Distribution of the Error Term for the Number of Lattice Points Inside a Shifted Circle
We investigate the fluctuations in Na(R), the number of lattice points n £ Z inside a circle of radius R centered at a fixed point α e [0, I). Assuming that R is smoothly (e.g., uniformly) distributed on a segment 0 ̂ R ^ T9 we prove that the random variable — 7= has a limit distribution as T -> oo (independent of the distribution of R\ which is absolutely continuous with respect to Lebesgue mea...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1993
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02102104