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2015年数学高引Top10
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2015年数学高引Top10
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根据美国数学会《数学评论》引文数据库（MR Citation Database）的统计结果，2015年高引论文Top10和高引专著Top10分别摘引如下，供大家参考。
2015年高引论文Top10
Search for highly cited articles by year in the MR Citation Database
| Citations | Publication |
|---|---|
| 19 | MR3271254 Servadei, Raffaella; Valdinoci, Enrico The Brezis-Nirenberg result for the fractional Laplacian. Trans. Amer. Math. Soc. 367 (2015), no. 1, 67–102. |
| 17 | MR3272924 Guth, Larry; Katz, Nets Hawk On the Erdős distinct distances problem in the plane. Ann. of Math. (2) 181 (2015), no. 1, 155–190. |
| 16 | MR3280032 Cabré, Xavier; Sire, Yannick Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions. Trans. Amer. Math. Soc. 367 (2015), no. 2, 911–941. |
| 13 | Small gaps between primes. Ann. of Math. (2) 181 (2015), no. 1, 383–413. |
| 11 | MR3342661 Ameur, Yacin; Hedenmalm, Haakan; Makarov, Nikolai Random normal matrices and Ward identities. Ann. Probab. 43 (2015), no. 3, 1157–1201. |
| 10 | MR3335888 Tian, WenYi; Zhou, Han; Deng, Weihua A class of second order difference approximations for solving space fractional diffusion equations. Math. Comp. 84 (2015), no. 294, 1703–1727. |
| 9 | MR3264768 Chen, Xiuxiong; Donaldson, Simon; Sun, Song Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2π and completion of the main proof. 2π and completion of the main proof. J. Amer. Math. Soc. 28 (2015), no. 1, 235–278. |
| 8 | MR3332942 Brydges, David C.; Slade, Gordon A renormalisation group method. V. A single renormalisation group step. J. Stat. Phys. 159 (2015), no. 3, 589–667. |
| 7 | MR3332941 Brydges, David C.; Slade, Gordon A renormalisation group method. IV. Stability analysis. J. Stat. Phys. 159 (2015), no. 3, 530–588. |
| 7 | MR3332939 Brydges, David C.; Slade, Gordon A renormalisation group method. II. Approximation by local polynomials. J. Stat. Phys. 159 (2015), no. 3, 461–491. |
2015年高引专著Top10
| Citations | Publication |
|---|---|
| 25 | MR3307753 Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio Cox rings. Cambridge Studies in Advanced Mathematics, 144. Cambridge University Press, Cambridge, 2015. viii+530 pp. ISBN: 978-1-107-02462-5 |
| 8 | MR3363168 Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. Sobolev spaces on metric measure spaces. An approach based on upper gradients. New Mathematical Monographs, 27. Cambridge University Press, Cambridge, 2015. xii+434 pp. ISBN: 978-1-107-09234-1 |
| 8 | MR3307944 Gradshteyn, I. S.; Ryzhik, I. M. Table of integrals, series, and products. Translated from the Russian. Translation edited and with a preface by Daniel Zwillinger and Victor Moll. Eighth edition. Revised from the seventh edition [MR2360010]. Elsevier/Academic Press, Amsterdam, 2015. xlvi+1133 pp. ISBN: 978-0-12-384933-5 |
| 6 | MR3287221 Maclagan, Diane; Sturmfels, Bernd Introduction to tropical geometry. Graduate Studies in Mathematics, 161. American Mathematical Society, Providence, RI, 2015. xii+363 pp. ISBN: 978-0-8218-5198-2 |
| 5 | MR3328438 Joe, Harry Dependence modeling with copulas. Monographs on Statistics and Applied Probability, 134. CRC Press, Boca Raton, FL, 2015. xviii+462 pp. ISBN: 978-1-4665-8322-1 |
| 4 | MR3362691 Dehornoy, Patrick Foundations of Garside theory. With François Digne, Eddy Godelle, Daan Krammer and Jean Michel. Contributor name on title page: Daan Kramer. EMS Tracts in Mathematics, 22. European Mathematical Society (EMS), Zürich, 2015. xviii+691 pp. ISBN: 978-3-03719-139-2 |
| 4 | MR3362184 Banerjee, Sudipto; Carlin, Bradley P.; Gelfand, Alan E. Hierarchical modeling and analysis for spatial data. Second edition. Monographs on Statistics and Applied Probability, 135. CRC Press, Boca Raton, FL, 2015. xxii+562 pp. ISBN: 978-1-4398-1917-3 |
| 3 | Dynamics of Berkovich spaces in low dimensions. Berkovich spaces and applications, 205–366, Lecture Notes in Math., 2119, Springer, Cham, 2015. |
| 3 | MR3307755 Morris, Dave Witte Introduction to arithmetic groups. Deductive Press, Place of publication not identified, 2015. xii+475 pp. ISBN: 978-0-9865716-0-2; 978-0-9865716-1-9 |
| 2 | MR3330490 Cox, David A.; Little, John; O'Shea, Donal Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Fourth edition. Undergraduate Texts in Mathematics. Springer, Cham, 2015. xvi+646 pp. ISBN: 978-3-319-16720-6; 978-3-319-16721-3 |
数论高引Top10
| Citations | Publication |
|---|---|
| 1074 | MR0817210 Silverman, Joseph H. The arithmetic of elliptic curves. Graduate Texts in Mathematics, 106. Springer-Verlag, New York, 1986. xii+400 pp. ISBN: 0-387-96203-4 |
| 851 | The theory of the Riemann zeta-function. Second edition. Edited and with a preface by D. R. Heath-Brown. The Clarendon Press, Oxford University Press, New York, 1986. x+412 pp. ISBN: 0-19-853369-1 |
| 820 | MR1429394 Lidl, Rudolf; Niederreiter, Harald Finite fields. With a foreword by P. M. Cohn. Second edition. Encyclopedia of Mathematics and its Applications, 20. Cambridge University Press, Cambridge,1997. xiv+755 pp. ISBN: 0-521-39231-4 |
| 742 | MR2061214 Iwaniec, Henryk; Kowalski, Emmanuel Analytic number theory. American Mathematical Society Colloquium Publications, 53. American Mathematical Society, Providence, RI, 2004. xii+615 pp. ISBN: 0-8218-3633-1 |
| 613 | MR1421575 Washington, Lawrence C. Introduction to cyclotomic fields. Second edition. Graduate Texts in Mathematics, 83. Springer-Verlag, New York, 1997. xiv+487 pp. ISBN: 0-387-94762-0 |
| 591 | MR1228206 Cohen, Henri A course in computational algebraic number theory. Graduate Texts in Mathematics, 138. Springer-Verlag, Berlin, 1993. xii+534 pp. ISBN: 3-540-55640-0 |
| 568 | MR0746963 Lidl, Rudolf; Niederreiter, Harald Finite fields. With a foreword by P. M. Cohn. Encyclopedia of Mathematics and its Applications, 20. Addison-Wesley Publishing Company, Advanced Book Program, Reading, MA, 1983. xx+755 pp. ISBN: 0-201-13519-1 |
| 506 | MR1312368 Silverman, Joseph H. Advanced topics in the arithmetic of elliptic curves. Graduate Texts in Mathematics, 151. Springer-Verlag, New York, 1994. xiv+525 pp. ISBN: 0-387-94328-5 |
| 484 | Quadratic and Hermitian forms. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 270. Springer-Verlag, Berlin, 1985. x+421 pp. ISBN: 3-540-13724-6 |
| 482 | MR1333035 Wiles, Andrew Modular elliptic curves and Fermat's last theorem. Ann. of Math. (2) 141 (1995), no. 3, 443–551. |
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