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 ½ÌÊ¦·ç²É µÔÎÄ¹ã¡¡½ÌÊÚ£¬²©Ê¿Éúµ¼Ê¦ ¡¡¡¡Ãñ×å£º ºº¡¡¡¡¡¡¡¡ÐÔ±ð£ºÄÐ ¡¡¡¡Email: zhaiwg@hotmail.com£¬ wgzhai@163.com Ö÷ÒªÑ§ÊõÂÛÎÄ   [68](with Deyu Zhang) On the mean value of the index of composition of an integral ideal, Journal of Number Theory 131 (2011), 618¨C633. [67](with Deyu Zhang) On the fifth-power moment of (x), Int. J of Number Theory, Vol. 7(2011), 71-86. [66](with Xiaodong Cao, Yoshio Tanigawa), On a conjecture of Chowla and Walum, Sci. China Math. 53 (2010), no. 10, 2755¨C2771. [65](with Jun Furuya, Yoshio Tanigawa), Dirichlet series obtained from the error term in the Dirichlet divisor problem, Monatsh. Math. 160 (2010), no. 4, 385¨C402 [64](with Xiaodong Cao), On the mean square of the error term for the asymmetric two-dimensional divisor problems, Monatsh. Math. 160 (2010), no. 2, 115¨C142. [63](with Deyu Zhang), Mean values of a gcd-sum function over regular integers modulo n, J. Integer Seq. 13 (2010), no. 4, Article 10.4.7, 11 pp. [62](with Xiaodong Cao)Some arithmetic functions involving exponential divisors, J. Integer Seq. 13 (2010), no. 3, Article 10.3.7, 13 pp. [61](with Xiaodong Cao)On the mean square of the error term for the asymmetric two-dimensional divisor problem, Monatsh. Math. 159 (2010), no. 1-2, 185¨C209. [60](with Lingling Dong ) ON the distribution of {x/p}(in Chinese)£¬ Acta Math. Sinica£¬52 (2009), no. 3, 569¨C578. [59]On the prime power factorization of n!, J. Number Theory 129 (2009), no. 8, 1820¨C1836. [58]On the error term inWeyl¡¯s law for the Heisenberg manifolds. II, Sci. China Ser. A 52 (2009), no. 5, 857¨C874. [57](with Yoshio Tanigawa), On the fourth power moment of (x) and E(x) in short intervals, Int. J. Number Theory 5 (2009), no. 2, 355¨C382. [56](with Huaning Liu),A note on the pseudorandomness of the Liouville function, Acta Arith. 136 (2009), no. 2, 101¨C121. [55](with Gaangshi Lv)On the representation of large integers as sums of four almost equal squares of primes, Ramanujan J. 18 (2009), no. 1, 1¨C10. [54] (with Xiaodong Cao) Distribution of square-free integers of the form (in Chinese)£¬Acta Math. Sinica51(2008), no. 6, 1187¨C1194. [53]On the error term in Weyl¡¯s law for Heisenberg manifolds, Acta Arith. 134 (2008), no. 3, 219¨C257. [52](with Jun Furuya)On the k-free divisor problem(II), Acta Arith. 132 (2008), 351-358 [51](with Yoshio Tanigawa) On the gcd-sum function, J. Integer Seq. 11 (2008), no. 2, Article 08.2.3, 11 pp. [50](with Yoshio Tanigawa, Deyu Zhang)On the Rankin-Selberg problem: higher power moments of the Riesz mean error term, Sci. China Ser. A 51 (2008), no. 1, 148--160. ? [49] (with Xiaodong Cao) On a Diophantine inequality over primes. II, Monatsh. Math. 150 (2007), no. 2, 173--179 ? [48](with Yoshio Tanigawa) Dirichlet series associated with polynomials and applications, J. Number Theory 122 (2007), no. 2, 466--518 ? [47] R¨¦nyi's problem in short intervals, Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 1, 29¡ª36 [46]On the mean value of the index of composition of an integer, Acta Arith. 125 (2006), no. 4, 331--345 ? [45](with Deyu Zhang)Differences of two relatively prime cubes. (Chinese) Acta Math. Sinica (Chin. Ser.) 49 (2006), no. 5, 1181--1188. [44]On the k-free divisor problem, Acta Arith. 123 (2006), no. 3, 267--287(SCI) [43](with Deyu Zhang)On integers \$n\$ coprime to \$[n\sp c]\$. (Chinese) Acta Math. Sinica (Chin. Ser.) 49 (2006), no. 2, 469--472 [42]On higher-power moments of (x). IV. (Chinese) Acta Math. Sinica (Chin. Ser.) 49 (2006), no. 3, 639--646. [41](with Xiaodong Cao) On sums of two coprime k-th powers. II, Monatsh. Math. 148 (2006), no. 2, 153¡ª172 [40](with Deyu Zhang) Estimates of maximal divisor of \$k\$-th power. (Chinese) Acta Math. Sinica (Chin. Ser.) 49 (2006), no. 1, 205--214. [39]Square-free integers as sums of two squares, Number theory, 219--227, Dev. Math., 15, Springer, New York, 2006 [38]On higher-power moments of (x). III, Acta Arith. 118 (2005), no. 3, 263¡ª281 [37] On sums of two coprime k-th powers, Monatsh. Math. 144 (2005), no. 3, 233--250 ? [36](with Deyu Zhang) The Waring-Goldbach problem in thin sets of primes. II. (Chinese) Acta Math. Sinica (Chin. Ser.) 48 (2005), no. 4, 809--816. ? [35] On higher-power moments of E(t), Acta Arith. 115 (2004), no. 4, 329¡ª348 [34]On higher-power moments of (x). II, Acta Arith. 114 (2004), no. 1, 35--54 ? [33]On higher-power moments of (x), Acta Arith. 112 (2004), no. 4, 367--395 ? [32]The divisor problem for the Beatty sequences. (Chinese) Acta Math. Sinica (Chin. Ser.) 47 (2004), no. 6, 1213--1216. [31](with Guangshi Lv) On three-dimensional divisor problem of \$(a,a,b)\$ type. Adv. Math. (China) 33 (2004), no. 2, 195--202. [30]Short interval results for a class of integers, Monatsh. Math. 140 (2003), no. 3, 233--257 ? [29](with Xiaodong Cao) On a binary Diophantine inequality. Adv. Math. (China) 32 (2003), no. 6, 706--721. [28](with Guangshi Lv) The sum of multidimensional divisor functions on a special sequence. (Chinese) Adv. Math. (China) 32 (2003), no. 6, 660--664. [27](with Xiaodong Cao)On a Diophantine inequality over primes. Adv. Math. (China) 32 (2003), no. 1, 63--73. ? [26]On primitive lattice points in planar domains, Acta Arith. 109 (2003), no. 1, 1¡ª26 [25](with Guangshi Lv)A special divisor problem. (Chinese) Acta Math. Sinica (Chin. Ser.) 45 (2002), no. 5, 991--1004. [24]On the number of primitive Pythagorean triangles, Acta Arith. 105 (2002), no. 4, 387--403 ? [23](with Xiaodong Cao)A Diophantine inequality with prime numbers. (Chinese) Acta Math. Sinica (Chin. Ser.) 45 (2002), no. 2, 361¡ª370 [22](with Xiaodong Cao)A Diophantine equation with prime numbers. (Chinese) Acta Math. Sinica (Chin. Ser.) 45 (2002), no. 3, 443--454. [21]On the simultaneous distribution of the fractional parts of different powers of prime numbers, J. Number Theory 86 (2001), no. 1, 133--155 ? [20]On the average number of unitary factors of finite abelian groups. II, Acta Math. Sin. (Engl. Ser.) 16 (2000), no. 4, 549--554 [19](with Xiaodong Cao)On the distribution of r-full and l-free integers in short intervals, Monatsh. Math. 130 (2000), no. 1, 71¡ª84 [18](with Xiaodong Cao)]Multiple exponential sums with monomials, Acta Arith. 92 (2000), no. 3, 195¡ª213 [17]On a system of two Diophantine inequalities with prime numbers, Acta Arith. 92 (2000), no. 1, 31--46 ? [16]On three-dimensional divisor problem of \$(a,a,b)\$ type. Adv. Math. (China) 29 (2000), no. 2, 137--146 [15]On the k-dimensional Piatetski-Shapiro prime number theorem, Sci. China Ser. A 42 (1999), no. 11, 1173--1183 ? [14](with Xiaodong Cao) On the distribution of ?modulo one, J. Th¨¦or. Nombres Bordeaux 11 (1999), no. 2, 407--423 [13]On sums and differences of two coprime k-th powers, Acta Arith. 91 (1999), no. 3, 233--248 ? [12]The additive completion of k-th powers, J. Number Theory 79 (1999), no. 2, 292¡ª300 [11]On the average number of direct factors of finite abelian groups. II, Acta Arith. 90 (1999), no. 1, 69--78 ? [10](with Xiaodong Cao)On the number of coprime integer pairs within a circle, Acta Arith. 90 (1999), no. 1, 1--16 ? [9]The reciprocal sums of a class of additive functions. (Chinese) Acta Math. Sinica (Chin. Ser.) 42 (1999), no. 3, 529--536 [8](with Xiaodong Cao)The distribution of square-free numbers of the form [],J. Th¨¦or. Nombres Bordeaux 10 (1998), no. 2, 287--299 [7]On the average number of unitary factors of finite abelian groups, Acta Arith. 85 (1998), no. 4, 293--300 ? [6]The Waring-Goldbach problem in thin sets of primes. (Chinese) Acta Math. Sinica (Chin. Ser.) 41 (1998), no. 3, 595--608 [5] A note on a result of Abercrombie, Chinese Sci. Bull. 42 (1997), no. 14, 1151--1154 ? [4](with Xiaodong Cao)On the average number of direct factors of finite abelian groups, Acta Arith. 82 (1997), no. 1, 45--55 ? [3]Reciprocal sums of a class of additive functions in short intervals, Chinese Sci. Bull. 42 (1997), no. 2, 102¡ª105 [2] On a multiplicative hybrid problem, Acta Arith. 71 (1995), no. 1, 47--53 [1]On the distribution of {x/n}. II, Chinese Sci. Bull. 41 (1996), no. 1, 1¡ª5