Distribution of the error term for the number of lattice points inside a shifted circle
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Publication:2367953
DOI10.1007/BF02102104zbMath0781.11038MaRDI QIDQ2367953
Zheming Cheng, Freeman J. Dyson, Joel L. Lebowitz, Pavel M. Bleher
Publication date: 21 February 1994
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Lattice points in specified regions (11P21) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)
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Cites Work
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- On the divisor and circle problems
- New omega theorems for two classical lattice point problems
- On the distribution of the number of lattice points inside a family of convex ovals
- Nombre de points entiers dans une famille homothétique de domaines de ${R}$
- Semiclassical theory of spectral rigidity
- The distribution and moments of the error term in the Dirichlet divisor problem
- ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVAL
