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Items Authored by  Zhang, Xian Ke

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从美国《数学评论》检索到的张贤科的论文(部分)

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[1] 1 811 722 Qiu, Derong; Zhang, Xianke Selmer groups and Mordell-Weil groups of two types of elliptic curves. Progr. Natur. Sci. (English Ed.) 10 (2000), no. 12, 946--949. 11Gxx
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[2] 1 799 338 Zhang, Xianke; Wang, Kunpeng Ideal class groups and subgroups of real quadratic function fields. Tsinghua Sci. Technol. 5 (2000), no. 4, 372--373. 11R29 (11R58)
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[3] 1 799 337 Zhang, Xianke; Wang, Kunpeng Lower bound for ideal class numbers of real quadratic function fields. Tsinghua Sci. Technol. 5 (2000), no. 4, 370--371. 11R29 (11R58)
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[4] 1 783 796 (Review) Wang, Kunpeng; Zhang, Xianke Fundamental unit system and class number for real number fields of type $(2,2,2)$. Tsinghua Sci. Technol. 5 (2000), no. 2, 150--153. (Reviewer: F. Diaz y Diaz) 11R11 (11R20 11R29)
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[5] 2001d:11061 Liu, Tong; Zhang, Xianke Steinitz class of Mordell-Weil groups of elliptic curves with complex multiplication. Pacific J. Math. 193 (2000), no. 2, 371--379. (Reviewer: Ivica Gusi\'c) 11G05 (11G15)
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[6] 2001a:11091 Qiu, Derong; Zhang, Xianke Explicit classification for torsion cyclic subgroups of rational points with even orders of elliptic curves. Chinese Sci. Bull. 44 (1999), no. 21, 1951--1953. (Reviewer: Alain Kraus) 11G05
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[7] 2000i:11166 Zhang, Xianke Structure and prime decomposition law and relative extensions of abelian fields with prime power degree. Sci. China Ser. A 42 (1999), no. 8, 816--824. (Reviewer: W. Narkiewicz) 11R20 (11R29)
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[8] 99j:11125 Washington, Lawrence C.; Zhang, Xianke Heuristics and related results on class groups of real quadratic fields. Sci. China Ser. A 41 (1998), no. 4, 365--370. (Reviewer: Stéphane Louboutin) 11R11 (11R29)
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[9] 99g:11128b Washington, L. C.; Zhang, Xianke Modification of Cohen-Lenstra heuristics for ideal class groups and numbers of certain real quadratic fields. Chinese Sci. Bull. 42 (1997), no. 23, 1959--1962. (Reviewer: Stéphane Louboutin) 11R11 (11R29 11Y40)
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[10] 99g:11128a Zhang, Xian Ke; Washington, L. C. Modification of Cohen-Lenstra heuristics for ideal class groups and numbers of certain real quadratic fields. (Chinese) Kexue Tongbao (Chinese) 42 (1997), no. 19, 2053--2056. (Reviewer: Stéphane Louboutin) 11R11 (11R29 11Y40)
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[11] 98j:11100 Zhang, Xianke Ideal class groups and their subgroups of real quadratic fields. Sci. China Ser. A 40 (1997), no. 9, 909--916. (Reviewer: Ming Guang Leu) 11R29 (11A55 11R11)
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[12] 98b:11110 Zhang, Xianke Classification and prime decomposition of abelian $q$-fields. Chinese Sci. Bull. 41 (1996), no. 24, 2025--2028. (Reviewer: Franz Lemmermeyer) 11R18 (11R29)
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[13] 97i:11109 Zhang, XianKe; Xu, FuHua Existence of integral bases for relative extensions of $n$-cyclic number fields. J. Number Theory 60 (1996), no. 2, 409--416. (Reviewer: Charles J. Parry) 11R18 (11R29)
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[14] 97h:11122 Zhang, Xian Ke Relative integral bases of abelian $q$-fields. (Chinese) Kexue Tongbao (Chinese) 41 (1996), no. 12, 1066--1068. (Reviewer: Ming Yao Zhang) 11R04 (11R20)
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[15] 97d:11160 Zhang, Xianke Relative integral bases of abelian $q$-fields. Chinese Sci. Bull. 41 (1996), no. 13, 1065--1068. (Reviewer: W. Narkiewicz) 11R20 (11R04)
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[16] 97a:11047 Zhang, Xian Ke Equations in real quadratic fields and semisimple and minimal continued fractions. (Chinese) Kexue Tongbao (Chinese) 40 (1995), no. 10, 865--867. (Reviewer: Zhen Fu Cao) 11D09 (11A55)
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[17] 96j:11154 Zhang, Xianke Equations of real quadratic fields and semi-simple and minimal continued fractions. Chinese Sci. Bull. 40 (1995), no. 21, 1761--1765. (Reviewer: H. Yokoi) 11R29 (11A55 11D09 11R11)
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[18] 96h:11112 Zhang, Xian Ke Some composite relative extensions and relative integral bases. Algebra Colloq. 2 (1995), no. 3, 269--274. (Reviewer: Charles J. Parry) 11R20 (11R27 11R33)
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[19] 95f:11018 Zhang, Xian Ke Determination of solutions and solvabilities of Diophantine equations and quadratic fields. Algebraic geometry and algebraic number theory (Tianjin, 1989--1990), 189--199, Nankai Ser. Pure Appl. Math. Theoret. Phys., 3, World Sci. Publishing, River Edge, NJ, 1992. 11D09 (11R11 11R29)
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[20] 93k:11105 Zhang, Xian Ke Class groups of certain real quadratic fields. J. China Univ. Sci. Tech. 22 (1992), no. 4, 393--395. (Reviewer: H. Yokoi) 11R29 (11R11)
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[21] 91b:11112 Zhang, Xian Ke Ten formulae of type Ankeny-Artin-Chowla for class numbers of general cyclic quartic fields. Sci. China Ser. A 32 (1989), no. 4, 417--428. (Reviewer: K. Ramachandra) 11R16 (11R29)
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[22] 90k:11137 Zhang, Xian Ke Congruences modulo $8$ for class numbers of general quadratic fields ${Q}(\sqrt m)$ and ${Q}(\sqrt{-m})$. J. Number Theory 32 (1989), no. 3, 332--338. (Reviewer: F. Diaz y Diaz) 11R11 (11R29)
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[23] 90a:11144 Zhang, Xian Ke Determination of algebraic function fields of type $(2,2,\cdots,2)$ with class number one. Sci. Sinica Ser. A 31 (1988), no. 8, 908--915. (Reviewer: Keqin Feng) 11R58 (11R29)
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[24] 90a:11143 Zhang, Xian Ke Algebraic function fields of type $(2,2,\cdots,2)$. Sci. Sinica Ser. A 31 (1988), no. 5, 521--530. (Reviewer: K. Kiyek) 11R58 (11R37)
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[25] 89j:11115 Zhang, Xian Ke Ambiguous classes and $2$-rank of class group of quadratic function field. J. China Univ. Sci. Tech. 17 (1987), no. 4, 425--431. (Reviewer: Franz Halter-Koch) 11R58 (11R11 11R29)
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[26] 89g:11101 Zhang, Xian Ke A congruence formula for the class number of a general fourth degree cyclic field. (Chinese) Kexue Tongbao (Chinese) 32 (1987), no. 23, 1761--1763. (Reviewer: J. S. Joel) 11R16 (11R29)
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[27] 88i:11076 Zhang, Xian Ke Congruences of class numbers of general cubic cyclic number fields. (Chinese) J. China Univ. Sci. Tech. 17 (1987), no. 2, 141--145. 11R16 (11A07 11R04)
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[28] 88d:11100 Zhang, Xian Ke Relative integral bases and units of number fields of type $(l,l,\cdots,l)$. (Chinese) Acta Math. Sinica 29 (1986), no. 5, 622--627. (Reviewer: De Lang Li) 11R20
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[29] 88c:11065 Zhang, Xianke Counterexample and correction about genus fields of number fields. J. Number Theory 23 (1986), no. 3, 318--321. (Reviewer: R. A. Mollin) 11R37 (11R21)
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[30] 87c:11102 Zhang, Xian Ke Relative integral bases of quartic cyclic number fields. (Chinese) Acta Math. Sinica 27 (1984), no. 3, 425--432. (Reviewer: De Lang Li) 11R16 (11R33)
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[31] 86k:11058 Zhang, Xian Ke Note on a paper by A. A. Albert. Kexue Tongbao (English Ed.) 29 (1984), no. 11, 1434--1435. (Reviewer: Holger P. Petersson) 11R16
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[32] 86j:11106 Zhang, Xian Ke On number fields of type $(l,l,\cdots,l)$. Sci. Sinica Ser. A 27 (1984), no. 10, 1018--1026. (Reviewer: Günter Lettl) 11R20
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[33] 86h:11091 Zhang, Xian Ke A simple construction of genus fields of abelian number fields. Proc. Amer. Math. Soc. 94 (1985), no. 3, 393--395. (Reviewer: Yoshiomi Furuta) 11R20
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[34] 86d:11096 Zhang, Xian Ke Density of number fields of type $(2,2,\cdots ,2)$. Sci. Sinica Ser. A 27 (1984), no. 4, 345--351. (Reviewer: D. J. Lewis) 11R45 (11N37 11R29)
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[35] 86b:11066 Zhang, Xian Ke Note on a paper: "The integers of normal quartic fields" [Ann. of Math. (2) {31} (1930), 381--418; Jbuch {56}, 870] by A. A. Albert. J. China Univ. Sci. Tech. 14 (1984), no. 2, 171--177. (Reviewer: Donald Maurer) 11R16
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[36] 85k:11053 Xianke, Zhang Cyclic quartic fields and genus theory of their subfields. J. Number Theory 18 (1984), no. 3, 350--355. (Reviewer: Richard Massy) 11R16
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[37] 85e:11081 Feng, Ke Qin; Zhang, Xian Ke On relative integral bases of quartic cyclic number fields. Kexue Tongbao (English Ed.) 28 (1983), no. 4, 456--457. (Reviewer: Kurt Girstmair) 11R16 (11R27)
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[38] 84j:12007 Zhang, Xian Ke On number fields of type $(2,\,2,\cdots ,2)$. (Chinese) J. China Univ. Sci. Tech. 12 (1982), no. 4, 29--41. (Reviewer: Hong Wen Lu) 12A35 (12A50)
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[39] 81j:94029 Feng, Ke Qin; Zhang, Xian Ke Analysis of the behavior of error-detecting codes under the condition of feedback and retransmission error control. (Chinese) Acta Math. Appl. Sinica 2 (1979), no. 3, 278--286. (Reviewer: Tai Yang Hwang) 94B70
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[40] 1 789 429 Qiu, Derong; Zhang, Xianke Elliptic curves of twin-primes over Gauss field and Diophantine equations. Adv. Math. (China) 29 (2000), no. 3, 279--281. 11G05 (11D25)
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[41] 1 750 101 Qiu, De Rong; Zhang, Xian Ke An explicit classification of the even order cyclic torsion subgroups of rational points of elliptic curves. (Chinese) Kexue Tongbao (Chinese) 44 (1999), no. 11, 1152--1154. 11G05
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[42] 1 452 449 Zhang, Xian Ke Classification of abelian $q$-fields and prime ideal decompositions. (Chinese) Kexue Tongbao (Chinese) 41 (1996), no. 23, 2113--2115. 11R20
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[43] 867 331 Zhang, Xian Ke Number theory on algebraic function fields of type $(2,2,\cdots,2)$. (Chinese) Kexue Tongbao (Chinese) 31 (1986), no. 16, 1201--1204. 11R27
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[44] 766 162 Zhang, Xian Ke A note on a paper: "The integers of normal quartic fields" [Ann. of Math. {31} (1930), 381--418] by A. A. Albert. (Chinese) Kexue Tongbao (Chinese) 29 (1984), no. 13, 776--777. 11R29
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[45] 734 820 Feng, Ke Qin; Zhang, Xian Ke Relative integral bases for biquadratic cyclic number fields. (Chinese) Kexue Tongbao (Chinese) 27 (1982), no. 16, 961. 12A30
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