Generalized (P ,ω)-partitions and generating functions for trees - Arima, Tagawa () Citation Context ...− wz m−2 v ‖Xm‖‖Ym−1‖‖Z2‖) ∏ m i=1 yk‖Xm‖‖Ym−1‖‖Z2‖) ∏ m−1 j=1 (1 − xiyjzv) ∏ m k=1 (1 − zm−3 v x −1 . k ‖Xm‖...
Using generating functions, Andrews proved that the number of partitions of n with initial B Darlison Nyirenda darlison.nyirenda@wits.ac.za Beaullah Mugwangwavari 712040@students.wits.ac.za 1 The John Knopfmacher Centre for Applicable Analysis and Number Theory, University of the Witwatersrand, 1 ...
Having published extensively on the theory of partitions and related areas, he has been formally recognized for his contribution to p... (展开全部) 目录 ··· Preface 1. Introduction 2. Euler and beyond 3. Ferrers graphs 4. The Rogers-Ramanujan identities 5. Generating functions ··· (...
Statistics on permutations and rearrangements are defined and relationships between q -analogues of n , \\(n!\\) , and \\(\\binom{n}{k}\\) are proved. Integer partitions are defined and a few results concerning them are discussed. Generating functions are introduced as both elements of ...
M. Haiman, Notes on partitions and their generating functions, 2010. Google Scholar [8] B. Jayaram, S. Arumugam, K. Thulasiraman Dominator sequences in bipartite graphs Theoret. Comput. Sci., 694 (2017), pp. 34-41 View PDFView articleView in ScopusGoogle Scholar [9] S. Kitaev, S....
Explicit formulas for the associated exponential generating functions and for the totals of the respective statistics over all members of P(n,k) are found. To establish several of our results, we solve explicitly various linear partial differential equations. Finally, some comparable results are ...
Asymptotic Enumeration of Plane Partitions of Large Integers and Hayman's Theorem for Admissible Generating Functions We use the quantum statistical approach to estimate the number of restricted plane partitions of an integer n with the number of parts not exceeding some f... L Mutafchiev 被引量...
The treatment of IPs with generating functions and analytic combinatorics has been particularly impactful with regard to this question and we refer the interested reader to the comprehensive treatise given in [75]. Some constraints on IPs can also be taken into account with generating functions and ...
Bringmann, Lovejoy, and Osburn showed that the generating functions of the spt-overpartition functions spt(n), spt1(n), spt2(n), and M2spt(n) are quasimock theta functions, and satisfy a number of simple Ramanujan-like congruences. Andrews, Garvan, and Liang defined an spt-crank in ...
This paper presents an approach based on generating functions, with which the Banzhaf and Shapley-Shubik power... [Show full abstract] DOI: 10.1137/0604004 被引量: 2 年份: 1983 收藏 引用 批量引用 报错 分享 全部来源 免费下载 求助全文 ResearchGate ProQuest ResearchGate (全网免费下载) 钛...