Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Parry, Daniel"'
Autor:
Boyer, Robert P., Parry, Daniel
A partition polynomial is a refinement of the partition number p(n) whose coefficients count some special partition statistic. Just as partition numbers have useful asymptotics so do partition polynomials. In fact, their asymptotics determine the lim
Externí odkaz:
http://arxiv.org/abs/2111.12226
In this paper, we study concave compositions, an extension of partitions that were considered by Andrews, Rhoades, and Zwegers. They presented several open problems regarding the statistical structure of concave compositions including the distributio
Externí odkaz:
http://arxiv.org/abs/1605.00343
Autor:
Parry, Daniel
We study the $q$-series $F(q) = \sum q^{m(m+1)/2}/(q)_m^2$ and offer some commentary on why Ramanujan may have thought $F(q)$ does not "close."
Comment: Typo Log V2: fixed typo of summation index n->j on page 12 V3: Fixed minus sign error on $m$
Comment: Typo Log V2: fixed typo of summation index n->j on page 12 V3: Fixed minus sign error on $m$
Externí odkaz:
http://arxiv.org/abs/1512.07436
We give a new proof of an old identity of Dixon (1865-1936) that uses tools from topological combinatorics. Dixon's identity is re-established by constructing an infinite family of non-pure simplicial complexes $\Delta(n)$, indexed by the positive in
Externí odkaz:
http://arxiv.org/abs/1512.00080
We establish the asymptotic behavior of the Andrews $G_k(q)$ function as $q\to 1.$
Externí odkaz:
http://arxiv.org/abs/1511.07855
Autor:
Boyer, Robert, Parry, Daniel
The plane partition polynomial $Q_n(x)$ is the polynomial of degree $n$ whose coefficients count the number of plane partitions of $n$ indexed by their trace. Extending classical work of E.M. Wright, we develop the asymptotics of these polynomials in
Externí odkaz:
http://arxiv.org/abs/1401.1893
Autor:
Parry, Daniel
We develop a polynomial analogue of Meinardus' Thoerem for bivariate Euler products and apply it to the study of complex multiplicatively weighted partitions.
Comment: 18 pages, 0 figures
Comment: 18 pages, 0 figures
Externí odkaz:
http://arxiv.org/abs/1401.1886
Autor:
PARRY, DANIEL, RHOADES, ROBERT C.
Publikováno v:
Proceedings of the American Mathematical Society, 2017 Jan 01. 145(1), 101-108.
Externí odkaz:
https://www.jstor.org/stable/procamermathsoci.145.1.101
Publikováno v:
In Advances in Mathematics 17 March 2017 309:436-451
Autor:
BOYER, ROBERT P., PARRY, DANIEL T.
Publikováno v:
The Rocky Mountain Journal of Mathematics, 2014 Jan 01. 44(1), 1-18.
Externí odkaz:
https://www.jstor.org/stable/26409295