On the one-sided boundedness of the local discrepancy of {n?}-sequences

被引：0

作者：

Ying, Jiangang ^{[1
]}

Zheng, Yushu ^{[2
]}

机构：

[1] Fudan Univ, Sch Math, Shanghai 200433, Peoples R China

[2] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China

来源：

ACTA ARITHMETICA | 2022年

关键词：

irrational rotation; continued fraction; discrepancy;

D O I：

10.4064/aa211015-12-11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：97 / 114

页数：18

共 12 条

[1] CONTINUED FRACTIONS AND HEAVY SEQUENCES [J].

Boshernitzan, Michael ;

Ralston, David .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137 (10) :3177-3185

[2] INTERVALS OF GREATER REST FOR SERIES (N-ALPHA) [J].

DUPAIN, Y .

ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1977, 29 (3-4) :289-303

[3]

Dupain Y., 1980, ACTA ARITH, V37, P363

[4] PRIME FLOWS IN TOPOLOGICAL DYNAMICS [J].

FURSTENBERG, H ;

KEYNES, H ;

SHAPIRO, L .

ISRAEL JOURNAL OF MATHEMATICS, 1973, 14 (01) :26-38

[5]

Good IJ, 1941, P CAMB PHILOS SOC, V37, P199

[6] REMARKS ON REMAINDER IN BIRKHOFFS ERGODIC THEOREM [J].

HALASZ, G .

ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1976, 28 (3-4) :389-395

[7]

Hecke E., 1922, Abh. Math. Semin. Univ. Hambg, V1, P54, DOI DOI 10.1007/BF02940580

[8]

Kesten H., 1966, Acta Arith., V12, P193

[9]

Khinchin A. Ya., 1963, CONTINUED FRACTIONS

[10]

Ostrowsky A., 1922, Abh. Math. Semin. Univ. Hambg., V1, P77, DOI [10.1007/BF02940581, DOI 10.1007/BF02940581]

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