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Volumn 14, Issue 5, 2002, Pages 691-712

The distribution of spacings between fractional parts of lacunary sequences

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EID: 0036042868     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: 10.1515/form.2002.030     Document Type: Article
Times cited : (65)

References (11)
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    • The proof of the central limit theorem for theta sums
    • Jurkat, W. B., and Van Home, J. W.: The proof of the central limit theorem for theta sums. Duke Math. J. 48 (1981), 873-885
    • (1981) Duke Math. J. , vol.48 , pp. 873-885
    • Jurkat, W.B.1    Van Home, J.W.2
  • 4
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    • An asymptotic formula for the number of solutions of a certain Diophantine equation
    • Israilov, M. I.: An asymptotic formula for the number of solutions of a certain Diophantine equation. Math. USSR-Sb. 11 (1970), 327-338
    • (1970) Math. USSR-Sb. , vol.11 , pp. 327-338
    • Israilov, M.I.1
  • 5
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    • Probability methods in some problems of analysis and number theory
    • Kac, M.: Probability methods in some problems of analysis and number theory. Bull. Amer. Math. Soc. 55 (1949), 641-665
    • (1949) Bull. Amer. Math. Soc. , vol.55 , pp. 641-665
    • Kac, M.1
  • 6
    • 0033558658 scopus 로고    scopus 로고
    • Limit theorems for theta sums
    • Marklof, J.: Limit theorems for theta sums. Duke Math. J. 97 (1999), 127-153
    • (1999) Duke Math. J. , vol.97 , pp. 127-153
    • Marklof, J.1
  • 8
    • 0032474147 scopus 로고    scopus 로고
    • The pair correlation function of fractional parts of polynomials
    • Rudnick, Z., and Sarnak, P.: The pair correlation function of fractional parts of polynomials. Comm. in Math. Physics. 194 (1998), 61-70
    • (1998) Comm. in Math. Physics. , vol.194 , pp. 61-70
    • Rudnick, Z.1    Sarnak, P.2
  • 10
    • 0001164635 scopus 로고    scopus 로고
    • A metric result on pair correlation of fractional parts of sequences
    • Rudnick, Z., and Zaharescu, A.: A metric result on pair correlation of fractional parts of sequences. Acta Arithmetica LXXXIX (3) (1999), 283-293
    • (1999) Acta Arithmetica , vol.89 , Issue.3 , pp. 283-293
    • Rudnick, Z.1    Zaharescu, A.2
  • 11
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    • Level spacings for integrable quantum maps in genus zero
    • Zelditch, S.: Level spacings for integrable quantum maps in genus zero. Comm. Math. Phys. 196 (1998), 289-329
    • (1998) Comm. Math. Phys. , vol.196 , pp. 289-329
    • Zelditch, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.