On the number of coprime integer pairs within a circle

• Autorzy: Wenguang Zhai , Xiaodong Cao
• Języki publikacji: EN

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions
• 11P21: Lattice points in specified regions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 90
• Numer: 1
• Strony: 1-16

Daty

wydano

1999

otrzymano

1996-11-22

poprawiono

1999-02-03

Twórcy

autor

Wenguang Zhai

• Department of Mathematics, Shandong Normal University, Jinan, 250014, Shandong, P.R. China

autor

Xiaodong Cao

• Beijing Institute of Petrochemical Technology, Daxing, Beijing 102600, P.R. China

Bibliografia

• [1] R. C. Baker and G. Harman, Numbers with a large prime factor, Acta Arith. 73 (1995), 119-145.
• [2] E. Bombieri and H. Iwaniec, On the order of ζ(1/2+it), Ann. Scuola Norm. Sup. Pisa 13 (1986), 449-472.
• [3] E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333.
• [4] D. R. Heath-Brown, The Pjateckiĭ-Šapiro prime number theorem, ibid. 16 (1983), 242-266.
• [5] D. Hensley, The number of lattice points within a contour and visible from the origin, Pacific J. Math. 166 (1994), 295-304.
• [6] M. N. Huxley, Exponential sums and lattice points II, Proc. London Math. Soc. 66 (1993), 279-301.
• [7] A. Ivić, The Riemann Zeta-function, Wiley, 1985.
• [8] C. H. Jia, On the distribution of squarefree numbers (II), Sci. China Ser. A 8 (1992), 812-827.
• [9] E. Krätzel, Lattice Points, Deutsch. Verlag Wiss., Berlin, 1988.
• [10] S. H. Min, Methods of Number Theory, Science Press, Beijing, 1983 (in Chinese).
• [11] W. G. Nowak, Primitive lattice points in rational ellipses and related arithmetical functions, Monatsh. Math. 106 (1988), 57-63.
• [12] B. R. Srinivasan, The lattice point problem of many-dimensional hyperboloids II, Acta Arith. 8 (1963), 173-204.