Results 71 to 80 of about 575,106 (294)
Ranks For Two Partition Quadruple Functions [PDF]
, 2016 Recently the author introduced two new integer partition quadruple functions, which satisfy Ramanujan-type congruences modulo $3$, $5$, $7$, and $13$. Here we reprove the congruences modulo $3$, $5$, and $7$ by defining a rank-type statistic that gives a
Jennings-Shaffer, Chris
core +3 more sources
Dissecting the Stanley partition function
Journal of Combinatorial Theory, Series A, 2005 Let p(n) denote the number of unrestricted partitions of n. For i=0, 2, let p[i](n) denote the number of partitions pi of n such that O(pi) - O(pi') = i mod 4. Here O(pi) denotes the number of odd parts of the partition pi and pi' is the conjugate of pi. R. Stanley [13], [14] derived an infinite product representation for the generating function of p[0]
Department of Mathematics, The University of Florida, Gainsville, FL 32611-8105, USA ( host institution ) +2 more
openaire +3 more sources
On the complexity of quantum partition functions
CoRR, 2021 48 pages, 1 figure; v2 fixes a bug in the proof of Theorem 7.
Sergey Bravyi 0001 +3 more
openaire +2 more sources
FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley +1 more source
A statistical mechanical approach to restricted integer partition functions
, 2018 The main aim of this paper is twofold: (1) Suggesting a statistical mechanical approach to the calculation of the generating function of restricted integer partition functions which count the number of partitions --- a way of writing an integer as a sum ...
Dai, Wu-Sheng, Zhou, Chi-Chun
core +1 more source
Astronomy & Astrophysics, 2016 Context. Hydrogen is the most abundant molecule in the Universe. Its thermodynamic quantities dominate the physical conditions in molecular clouds, protoplanetary disks, etc. It is also of high interest in plasma physics. Therefore thermodynamic data for molecular hydrogen have to be as accurate as possible in a wide temperature range.Aims.
Popovas, Andrius, Jørgensen, Uffe Gråe
openaire +2 more sources
AAA+ protein unfoldases—the Moirai of the proteome
FEBS Letters, EarlyView.AAA+ unfoldases are essential molecular motors that power protein degradation and disaggregation. This review integrates recent cryo‐electron microscopy (cryo‐EM) structures and single‐molecule biophysical data to reconcile competing models of substrate translocation.
Stavros Azinas, Marta Carroni
wiley +1 more source
Crystal melting, BPS quivers and plethystics
Journal of High Energy Physics, 2022 We study the refined and unrefined crystal/BPS partition functions of D6-D2-D0 brane bound states for all toric Calabi-Yau threefolds without compact 4-cycles and some non-toric examples.
Jiakang Bao, Yang-Hui He, Ali Zahabi
doaj +1 more source
Gluing Nekrasov partition functions
, 2014 In this paper we summarise the localisation calculation of 5D super Yang-Mills on simply connected toric Sasaki-Einstein (SE) manifolds. We show how various aspects of the computation, including the equivariant index, the asymptotic behaviour and the ...
Qiu, Jian +3 more
core +1 more source
Molecular Oncology, EarlyView.Aptamers are used both therapeutically and as targeting agents in cancer treatment. We developed an aptamer‐targeted PLGA–TRAIL nanosystem that exhibited superior therapeutic efficacy in NOD/SCID breast cancer models. This nanosystem represents a novel biotechnological drug candidate for suppressing resistance development in breast cancer.
Gulen Melike Demirbolat +8 more
wiley +1 more source