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On the distribution of the number of lattice points inside a family of convex ovals
Pavel Bleher
Source: Duke Math. J. Volume 67, Number 3
(1992), 461-481.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077294534
Mathematical Reviews number (MathSciNet): MR1181309
Zentralblatt MATH identifier: 0762.11031
Digital Object Identifier: doi:10.1215/S0012-7094-92-06718-4
References
[B] A. S. Besicovitch, Almost periodic functions, Dover Publications Inc., New York, 1955.
Mathematical Reviews (MathSciNet): MR16,817a
Zentralblatt MATH: 0065.07102
[BP] E. Bombieri and J. Pila, The number of integral points on arcs and ovals, Duke Math. J. 59 (1989), no. 2, 337–357.
Mathematical Reviews (MathSciNet): MR90j:11099
Zentralblatt MATH: 0718.11048
Digital Object Identifier: doi:10.1215/S0012-7094-89-05915-2
Project Euclid: euclid.dmj/1077308005
[BCDL] P. M. Bleher, Zh. Cheng, F. J. Dyson, and J. L. Lebowitz, Distribution of the error term for the number of lattice points inside a shifted circle, preprint IASSNS-HEP-92/10, Institute for Adv. Study, Princeton, 1992.
Mathematical Reviews (MathSciNet): MR1224087
Zentralblatt MATH: 0781.11038
Digital Object Identifier: doi:10.1007/BF02102104
Project Euclid: euclid.cmp/1104253074
[CdV] Y. Colin de Verdière, Nombre de points entiers dans une famille homothétique de domains de $\bf R$, Ann. Sci. École Norm. Sup. (4) 10 (1977), no. 4, 559–575.
Mathematical Reviews (MathSciNet): MR58:563
Zentralblatt MATH: 0409.58011
[CL] Z. Cheng and J. L. Lebowitz, Statistics of energy levels in integrable quantum systems, Phys. Rev. A (3) 44, no. 191, 3399–3402.
[H-B] D. R. Heath-Brown, The distribution and moments of the error term in the Dirichlet divisor problem, Acta Arith. 60 (1992), no. 4, 389–415.
Mathematical Reviews (MathSciNet): MR93e:11114
Zentralblatt MATH: 0739.11036
[H1] M. N. Huxley, Exponential sums and lattice points, Proc. London Math. Soc. (3) 60 (1990), no. 3, 471–502.
Mathematical Reviews (MathSciNet): MR91m:11082
Zentralblatt MATH: 0659.10057
Digital Object Identifier: doi:10.1112/plms/s3-60.3.471
[H2] M. N. Huxley, Integer points in a domain with smooth boundary, preprint, 1991.
Mathematical Reviews (MathSciNet): MR1476731
Zentralblatt MATH: 0742.11046
[IM] H. Iwaniec and C. J. Mozzochi, On the divisor and circle problems, J. Number Theory 29 (1988), no. 1, 60–93.
Mathematical Reviews (MathSciNet): MR89g:11091
Zentralblatt MATH: 0644.10031
Digital Object Identifier: doi:10.1016/0022-314X(88)90093-5
[K] D. G. Kendall, On the number of lattice points inside a random oval, Quart. J. Math., Oxford Ser. 19 (1948), 1–26.
Mathematical Reviews (MathSciNet): MR9,570b
Zentralblatt MATH: 0031.11201
Digital Object Identifier: doi:10.1093/qmath/os-19.1.1
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