منابع مشابه
A Bijection for Partitions with All Ranks at Least tSylvie
It follows from work of Andrews and Bressoud that for t 1, the number of partitions of n with all successive ranks at least t is equal to the number of partitions of n with no part of size 2?t. We give a simple bijection for this identity which generalizes a result of Cheema and Gordon for 2-rowed plane partitions. The bijection yields several reenements of the identity when the partition count...
متن کاملA Bijection for Partitions with All Ranks at Least t
It follows from work of Andrews and Bressoud that for t the number of parti tions of n with all successive ranks at least t is equal to the number of partitions of n with no part of size t We give a simple bijection for this identity which generalizes a result of Cheema and Gordon for rowed plane partitions The bijection yields several re nements of the identity when the partition counts are pa...
متن کاملOn the Ranks and Border Ranks of Symmetric Tensors
Motivated by questions arising in signal processing, computational complexity, and other areas, we study the ranks and border ranks of symmetric tensors using geometric methods. We provide improved lower bounds for the rank of a symmetric tensor (i.e., a homogeneous polynomial) obtained by considering the singularities of the hypersurface defined by the polynomial. We obtain normal forms for po...
متن کاملRanks of Elliptic Curves
This paper gives a general survey of ranks of elliptic curves over the field of rational numbers. The rank is a measure of the size of the set of rational points. The paper includes discussions of the Birch and SwinnertonDyer Conjecture, the Parity Conjecture, ranks in families of quadratic twists, and ways to search for elliptic curves of large rank.
متن کاملRanks “cheat Sheet”
This is a “cheat sheet”, which means that it consists of information packaged in a concise and efficient way so that it can easily be used as a quick reference. The topic is ranks of elliptic curves, mostly over Q. This is a slightly revised version of the handout I wrote as a supplement to my survey talk “Distributions of Ranks of Elliptic Curves” at MSRI’s Connections for Women: Arithmetic St...
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ژورنال
عنوان ژورنال: Work Papers of the Summer Institute of Linguistics, University of North Dakota Session
سال: 1974
ISSN: 0361-4700
DOI: 10.31356/silwp.vol18.11