Character sums and pair correlations

• Autorzy: Vâjâitu M. , Zaharescu A.
• Języki publikacji: EN

Słowa kluczowe

EN

rational functions; polynomials

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 2
• Strony: 225--232
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Vâjâitu M.

• Institute of Mathematics of The Romanian Academy, P.O. Box 1-764, 70700 Bucharest, Romania

autor

Zaharescu A.

• Institute of Mathematics of The Romanian Academy, P.O. Box 1-764, 70700 Bucharest, Romania
• Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 W. Green Street, Urbana, Il, 61801, U.S.A.

Bibliografia

• [1] F. Boca, A. Zaharescu, Pair correlation of values of rational functions (modp), Duke Math. J. 105 no. 2 (2000), 267-307.
• [2] D. A. Burgess, On character sums and, L-series II, Proc. London Math. Soc. (3) 13 (1963), 524-536.
• [3] H. Davenport, Multiplicative Number Theory, Second Edition, Springer-Verlag, 1980.
• [4] H. L. Montgomery, The analytic principle of the large sieve, Bull. Amer. Math. Soc. 84 no. 4 (1978), 547-567.
• [5] H. L. Montgomery, Distribution of small powers of a primitive root, Advances in number theory (Kingston, ON, 1991), 137-149, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993. Amer. Math. Soc. Il l no. 2 (1991), 523-531.
• [6] Z. Rudnick, P. Sarnak, The pair correlation function of fractional parts of polynomials, Comm. Math. Phys. 194 (1998), 61-70.
• [7] Z. Rudnick, P. Sarnak, A. Zaharescu, The distribution of spacings between the fractional parts of n2α, Invent. Math. 145 no. 1 (2001), 37-57.
• [8] Z. Rudnick, A. Zaharescu, A metric result on the pair correlation of fractional parts of sequences, Acta Arith. 89 no. 3 (1999), 283-293.
• [9] A. Zaharescu, Averages of short exponential sums, Acta Arith. 88 no. 3 (1999), 223-231.