The mean lattice point discrepancy
1995 ◽
Vol 38
(3)
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pp. 523-531
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Keyword(s):
Consider a sufficiently smooth simple closed convex plane curve enclosing the origin, expanding linearly with time. The root mean square of the discrepancy (number of lattice points minus area) from time t = M to t = M + 1 is almost as small as the root mean square discrepancy from time t = 0 to t = M, so the discrepancy has no memory.
2018 ◽
Vol 324
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pp. 012049
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Keyword(s):
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2011 ◽
Vol 62
(3)
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pp. 183-189
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Keyword(s):
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2017 ◽
Vol 13
(02)
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pp. 291-300
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Keyword(s):
2017 ◽
Vol 221
(2)
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pp. 637-659
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Keyword(s):
1961 ◽
Vol 11
(1)
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pp. 143-155
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Keyword(s):