On finite pseudorandom binary sequences, V. on (nα) and (n2α) sequences

Monatshefte fur Mathematik

Volumn 129, Issue 3, 2000, Pages 197-216

  Mauduit, Christian ^a   Saŕközy, András ^b  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Correlation; Diophantine approximation; Pseudorandom; Uniform distribution

Indexed keywords

EID: 0000840256     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006050050071     Document Type: Article

References (10)

1. Cassaigne J, Ferenczi S, Maudutt C, Rival J, Sárközy A (1999) On finite pseudorandom binary sequences, III (The Liouville function, I). Acta Arith 87: 367-390
2. Cassaigne J, Ferenczi S, Maudutt C, Rival J, Sárközy A (2000) On finite pseudorandom binary sequences, IV (The Liouville function, II). Acta Arith (to appear)
3. Erdös P, Turán P (1948) On a problem in the theory of uniform distribution, I, II. Indag Math 10: 370-378, 406-413
4. Hardy GH, Wright EM (1979) An Introduction to the Theory of Numbers, 5th edn. Oxford: University Press
5. 2}. MathComp 18: 211-232
6. Kuipers L, Niederreiter H (1974) Uniform Distribution of Sequences. New York: Wiley Interscience
7. Maudutt C, Sárközy A (1997) On finite pseudorandom binary sequences, I. Measure of pseudorandomness, the Legendre symbol. Acta Arith 82: 365-377
8. Maudutt C, Sárközy A (1998) On finite pseudorandom binary sequences, II. The Champernowne, Rudin-Shapiro and Thue-Morse sequences. A further construction. J Number Theory 73: 256-276
9. Roth KF (1964) Remark concerning integer sequences. Acta Arith 9: 257-260
10. Sárközy A (1978) On difference sets of sequences of integers, I. Acta Math Acad Sci Hune 31: 125-149