Zobrazeno 1 - 10
of 15 394
pro vyhledávání: '"A. Meurman"'
In a sequence of two papers, S. Capparelli, A. Meurman, A. Primc, M. Primc (CMPP) and then M. Primc put forth three remarkable sets of conjectures, stating that the generating functions of coloured integer partition in which the parts satisfy restric
Externí odkaz:
http://arxiv.org/abs/2404.03851
Autor:
Gessel, Ira M.
We give a short generating function proof of the Almkvist-Meurman theorem: For integers $h$ and $k\ne0$, define the numbers $M_n(h,k)$ by $kx(e^{hx}-1)/(e^{kx}-1)=\sum_{n=0}^\infty M_n(h,k) x^n/n!$. Equivalently, $M_n(h,k) = k^n(B_n(h/k) - B_n)$, whe
Externí odkaz:
http://arxiv.org/abs/2310.15312
Autor:
Russell, Matthew C.
We find bivariate generating functions for the $k=1$ cases of recently conjectured colored partition identities of Capparelli, Meurman, A. Primc, and M. Primc that are slight variants of the generating functions for the sum sides of the Andrews-Gordo
Externí odkaz:
http://arxiv.org/abs/2306.16251
Autor:
Gessel, Ira M.
Publikováno v:
Integers 23 (2023), Paper No. A14, 10 pp
Almkvist and Meurman showed that if h and k are integers, then so is $k^n(B_n(h/k) - B_n)$ where $B_n(u)$ is the Bernoulli polynomial. We give here a new and simpler proof of the Almkvist-Meurman theorem using generating functions. We describe some p
Externí odkaz:
http://arxiv.org/abs/2207.11326
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Autor:
Salmela, Ulla1 (AUTHOR) ulla.salmela@nba.fi
Publikováno v:
Planning Perspectives. Oct2007, Vol. 22 Issue 4, p443-466. 24p. 2 Black and White Photographs, 5 Illustrations, 2 Maps.
Publikováno v:
Journal of Algebra 660 (2024), 147-189
In this paper, we recall Lepowsky's and Wakimoto's product character formulas formulated in a new way by using arrays of specialized weighted crystals of negative roots for affine Lie algebras of type $C_l^{(1)}$, $D_{l+1}^{(2)}$ and $A_{2l}^{(2)}$.
Externí odkaz:
http://arxiv.org/abs/2403.05456
Autor:
Steven Hopkins, Saivaroon Gajagowni, Yusuf Qadeer, Zhen Wang, Salim S. Virani, Jukka H. Meurman, Roman Leischik, Carl J. Lavie, Markus Strauss, Chayakrit Krittanawong
Publikováno v:
American Heart Journal Plus, Vol 43, Iss , Pp 100407- (2024)
Epidemiological evidence has revealed a potential relationship between periodontal disease and cardiovascular disease (CVD). Consensus regarding a link between these pathologies remains elusive, however, largely secondary to the considerable overlap
Externí odkaz:
https://doaj.org/article/042786981a49400793179094dfc7e3ed
Autor:
Jukka H. Meurman, Heikki Murtomaa
Publikováno v:
Frontiers in Psychiatry, Vol 15 (2024)
IntroductionPsychiatric patients suffer from oral diseases and side effects of antipsychotic medication. In particular, the typical antipsychotic drugs may cause severe hyposalivation with subsequent oral symptoms. We therefore aimed to compare oral
Externí odkaz:
https://doaj.org/article/29a66f70a0e147dda9f2f298120114d0
Autor:
Mapstone, Sally
Publikováno v:
The Review of English Studies, 1996 May 01. 47(186), 238-240.
Externí odkaz:
https://www.jstor.org/stable/518120