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陈永川

移除 4,455 位元組, 4 年前
代表论著及论文
* 教育部科技进步一等奖。
* 全国五四青年奖章和中国青年科技奖等奖项。
 
== 代表论著及论文 ==
*(with D.X.Q. Jia and L.X.W. Wang)
Higher order Turán inequalities for the partition function,
Trans. Amer. Math. Soc., to appear.
PDF | 2 Citations 2018
 
*(with L.H. Sun)
Stanley's lemma and multiple theta functions,
SIAM J. Discrete Math. 32 (2018) 474-504.
PDF 2017
*(with K.Y. Zheng)
The log-behavior of and ,
Ramanujan J. 44 (2017) 281-299.
PDF
*The spt-Function of Andrews (updated version),
In: A. Claesson, M. Dukes, S. Kitaev, D. Manlove and K. Meeks (eds.),
Surveys in Combinatorics 2017, 141-203,
Cambridge Univ. Press, Cambridge, 2017.
PDF | 5 Citations
*(with K.Q. Ji and W.J.T. Zang)
Nearly equal distributions of the rank and the crank of partitions,
In: G.E. Andrews and F. Garvan (eds.),
Analytic Number Theory, Modular Forms and q-Hypergeometric Series, 157-177,
Springer Proc. Math. Stat., 221, Springer, 2017.
PDF | 1 Citation
*(with A.M. Fu)
Context-free grammars for permutations and increasing trees,
Adv. in Appl. Math. 82 (2017) 58-82.
PDF | 16 Citations 2016
*(with A.J.X. Guo, P.L. Guo, H.H.Y. Huang and T.Y.H. Liu)
s-Inversion sequences and P-partitions of type B,
SIAM J. Discrete Math. 30 (2016) 1632-1643.
5 Citations
*Automated discovery and proof of congruence theorems for partial sums of combinatorial sequences,
J. Difference Equ. Appl. 22(6) (2016) 780-788.
6 Citations
*(with J.N. Chen)
On permutations with bounded drop size,
European J. Combin. 54 (2016) 138-153.
PDF
*(with Q.-H. Hou, L.H. Sun and L. Zhang)
Ramanujan-type congruences for overpartitions modulo 16,
Ramanujan J. 40(2) (2016) 311-322.
PDF | 9 Citations
*(with H.H.Y. Huang and L.X.W. Wang)
Average size of a self-conjugate (s, t)-core partition,
Proc. Amer. Math. Soc. 144(4) (2016) 1391-1399.
PDF | 20 Citations
*(with K.Q. Ji and W.J.T. Zang)
The spt-crank for ordinary partitions,
J. Reine Angew. Math. 711 (2016) 231-249.
PDF | 6 Citations
*(with L.X.W. Wang and G.Y.B. Xie)
Finite differences of the logarithm of the partition function, 2015
*(with P.L. Guo and S.X.M. Pang)
Vacillating Hecke tableaux and linked partitions,
Math. Z. 281(3-4) (2015) 661-672.
PDF | 1 Citation
*(with J.J.F. Guo and L.X.W. Wang)
Zeta functions and the log behavior of combinatorial sequences,
Proc. Edinb. Math. Soc. (2) 58(3) (2015) 637-651.
10 Citations
*(with D.D.M. Sang and D.Y.H. Shi)
An overpartition analogue of Bressoud's theorem of Rogers-Ramanujan-Gordon type,
Ramanujan J. 36(1-2) (2015) 69-80.
PDF | 8 Citations
*(with K.Q. Ji and W.J.T. Zang)
Proof of the Andrews-Dyson-Rhoades conjecture on the spt-crank,
Adv. Math. 270 (2015) 60-96.
PDF | 8 Citations
*(with L.H. Sun, R.-H. Wang and L. Zhang)
Ramanujan-type congruences for overpartitions modulo 5,
J. Number Theory 148 (2015) 62-72.
12 Citations 2014 (with P.L. Guo)
Equivalence classes of full-dimensional 0/1-polytopes with many vertices,
Discrete Comput. Geom. 52(2) (2014) 630-662.
2 Citations
*(with Q.-H. Guo, L.H. Sun and J. Wang)
Zigzag stacks and m-regular linear stacks,
J. Comput. Biol. 21(12) (2014) 915-935.
PDF | 3 Citations
*(with P.L. Guo)
Equivalence classes of full-dimensional 0/1-polytopes with many vertices,
Discrete Comput. Geom. 52(2) (2014) 630-662.
2 Citations
*(with D.K. Du, Q.-H. Hou and L.H.Sun)
Congruences of multipartition functions modulo powers of primes,
Ramanujan J. 35 (2014) 1-19.
PDF | 4 Citations
*(with N.J.Y. Fan, A.J.X. Guo, P.L. Guo, H.H.Y. Huang and M.X.X. Zhong)
Combinatorial proof of the inversion formula on the Kazhdan-Lusztig R-polynomials,
Math. Z. 277 (3-4) (2014) 1017-1025.
PDF
*(with A.R.B. Fan and R.T. Yu)
Ramanujan-type congruences for broken 2-diamond partitions modulo 3,
Sci. China Math. 57(8) (2014) 1553-1560.
PDF | 5 Citations
*(with E.X.W. Xia)
Proof of a conjecture of Hirschhorn and Sellers on overpartitions,
Acta Arith. 163(1) (2014) 59-69.
PDF | 23 Citations
*(with K.Q. Ji and E.Y.Y. Shen)
On the positive moments of ranks of partitions,
Electron. J. Combin. 21(1) (2014) #P1.29.
2 Citations
*(with A.Y.L. Dai and R.D.P. Zhou)
Ordered partitions avoiding a permutation pattern of length 3,
European J. Combin. 36 (2014) 416-424.
PDF | 8 Citations
*(with J.J.F. Guo and L.X.W. Wang)
Infinitely log-monotonic combinatorial sequences,
Adv. Appl. Math. 52 (2014) 99-120.
PDF | 19 Citations
*(with J.F.F. Peng)
Disposition polynomials and plane trees,
European J. Combin. 36 (2014) 122-129.
PDF | 3 Citations<br>
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== 参考资料 ==
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