Partitions into a small number of part sizes
نویسندگان
چکیده
منابع مشابه
Partitions with Fixed Number of Sizes
Let t(n, s) and t(n, k, s), respectively, be the number of partitions of n with s different sizes, and the number of partitions of n with exactly k parts and s different sizes. In this article, an asymptotic estimate for t(n, k, s) is presented for the following two cases: (i) s = k − 1 and (ii) when k is a prime number with s = 2. Further, the enumeration of uniform partitions with exactly 2 s...
متن کاملPartitions according to multiplicities and part sizes
In this paper we study the largest parts in integer partitions according to multiplicities and part sizes. Firstly we investigate various properties of the multiplicities of the largest parts. We then consider the sum of the m largest parts first as distinct parts and then including multiplicities. Finally, we find the generating function for the sum of the m largest parts of a partition, i.e.,...
متن کاملRandom partitions with restricted part sizes
For a subsetS of positive integers let (n,S)be the set of partitions ofn into summands that are elements of S. For every λ ∈ (n,S), let Mn(λ) be the number of parts, with multiplicity, that λ has. Put a uniform probability distribution on (n,S), and regardMn as a random variable. In this paper the limiting density of the (suitably normalized) random variableMn is determined for sets that are su...
متن کاملThe Asymptotic Number of Set Partitions with Unequal Block Sizes
The asymptotic behavior of the number of set partitions of an n-element set into blocks of distinct sizes is determined. This behavior is more complicated than is typical for set partition problems. Although there is a simple generating function, the usual analytic methods for estimating coefficients fail in the direct approach, and elementary approaches combined with some analytic methods are ...
متن کاملa study of translation of english litrary terms into persian
چکیده هدف از پژوهش حاضر بررسی ترجمه ی واژه های تخصصی حوزه ی ادبیات به منظور کاوش در زمینه ی ترجمه پذیری آنها و نیز راهکار های به کار رفته توسط سه مترجم فارسی زبان :سیامک بابایی(1386)، سیما داد(1378)،و سعید سبزیان(1384) است. هدف دیگر این مطالعه تحقیق در مورد روش های واژه سازی به کار رفته در ارائه معادل های فارسی واژه های ادبی می باشد. در راستای این اهداف،چارچوب نظری این پژوهش راهکارهای ترجمه ار...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Number Theory
سال: 2016
ISSN: 1793-0421,1793-7310
DOI: 10.1142/s1793042117500130