Results 61 to 70 of about 52,742 (268)

On Eisenstein series in $M_{2k}(\Gamma_0(N))$ and their applications

, 2018
Let $k,N \in \mathbb{N}$ with $N$ square-free and $k>1$. We prove an orthogonal relation and use this to compute the Fourier coefficients of the Eisenstein part of any $f(z) \in M_{2k}(\Gamma_0(N))$ in terms of sum of divisors function. In particular, if
Aygin, Zafer Selcuk
core   +1 more source

Long‐term culture of skin biopsies: maintenance of fibroblast production and competency of reprogramming

FEBS Open Bio, EarlyView.
Skin biopsies taken from a patient with an ultra‐rare disorder as well as controls were cultured for up to 473 days. The chunks of skin were serially transferred to a new culture plate when confluent with fibroblasts. Different generations of fibroblasts were analyzed for cell and molecular properties, proliferation, and competence for reprogramming to
Sudiksha Rathan‐Kumar, Michael A. Ripperger, Grant M. Westlake, Kevin C. Ess   +3 more
wiley   +1 more source

On a new congruence in the Catalan triangle [PDF]

Notes on Number Theory and Discrete Mathematics
For 0≤k≤n, the number C(n,k) represents the number of all lattice paths in the plane from the point (0,0) to the point (n,k), using steps (1,0) and (0,1), that never rise above the main diagonal y = x.
Jovan Mikić
doaj   +1 more source

Mass equidistribution of Hilbert modular eigenforms

, 2012
Let F be a totally real number field, and let f traverse a sequence of non-dihedral holomorphic eigencuspforms on GL(2)/F of weight (k_1,...,k_n), trivial central character and full level. We show that the mass of f equidistributes on the Hilbert modular
A. Hildebrand, A. Ichino, A. Venkatesh, A. Weil, A.I. Šnirel’man, D. Blasius, E. Kowalski, E. Lindenstrauss, E.C. Titchmarsh, E.T. Whittaker, G. Greaves, G. Shimura, G. Shimura, H. Davenport, H. Iwaniec, H. Iwaniec, H. Jacquet, H. Jacquet, H.L. Montgomery, I.S. Gradshteyn, J. Hoffstein, J.-P. Labesse, J.G. Hinz, K. Soundararajan, K. Soundararajan, L. Silberman, M. Harris, M. Nair, M. Nair, P. Sarnak, Paul D. Nelson, R. Holowinsky, R. Holowinsky, R. Holowinsky, S. Gelbart, S. Gelbart, S. Zelditch, Uwe Krause, V. Blomer, W. Luo, W. Luo, W. Schaal, Y. Colin de Verdière, Z. Rudnick   +43 more
core   +1 more source

SmallTalk: a novel small‐sized fusion tag for peptide expression and purification

FEBS Open Bio, EarlyView.
The SmallTalk fusion tag allows for the efficient expression and purification of soluble recombinant proteins or peptides in Escherichia coli. Testing with SmallTalk‐GFP confirmed that the proteins were soluble and folded correctly, while SmallTalk‐Bin1b maintained its antimicrobial activity against various bacterial isolates. This streamlined workflow
Atika Tariq, Nestor G. Casillas‐Vega, Alma Gomez‐Loredo, Xristo Zarate   +3 more
wiley   +1 more source

Autophagosome marker, LC3, is released extracellularly via several distinct pathways

FEBS Open Bio, EarlyView.
This study establishes a novel HiBiT‐tagging system for ultrasensitive detection of LC3, revealing multiple pathways for its extracellular secretion. It demonstrates that LC3 is released via both autophagy‐dependent and ‐independent mechanisms, including a novel route for nonlipidated LC3‐I.
Koki Saito, Masashi Arakawa, Koki Maeda, Eiji Morita   +3 more
wiley   +1 more source

Eisenstein Series Identities Involving the Borweins' Cubic Theta Functions

Journal of Applied Mathematics, 2012
Based on the theories of Ramanujan's elliptic functions and the (p, k)-parametrization of theta functions due to Alaca et al. (2006, 2007, 2006) we derive certain Eisenstein series identities involving the Borweins' cubic theta functions with the help of
Ernest X. W. Xia, Olivia X. M. Yao
doaj   +1 more source

NR4A1 Exerts Pro‐Tumor Role in Glioblastoma via Inducing xCT/GPX4‐Regulated Ferroptosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Purpose This study investigates NR4A1's paradoxical roles in glioblastoma (GBM) progression, focusing on its mechanistic link to ferroptosis regulation. We aimed to resolve conflicting reports of NR4A1 as both an oncogene and a tumor suppressor by defining its transcriptional control over xCT/GPX4‐mediated iron homeostasis and its clinical ...
Peng Tao, Shikuan Din, Zhengkang Fu, Qian Sun, Xiwei Zhu, Yuxin Wei, Huan Qu, Xinyi Zhang, Jiaxuan Liu, Chuhua Fu, Qianxue Chen   +10 more
wiley   +1 more source

The $D^6 R^4$ interaction as a Poincaré series, and a related shifted convolution sum [PDF]

, 2022
Kim Klinger-Logan, Stephen D. Miller, Danylo Radchenko   +2 more
openalex   +1 more source

Lesion Location and Functional Connections Reveal Cognitive Impairment Networks in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cognitive impairment, fatigue, and depression are common in multiple sclerosis (MS), potentially due to disruption of regional functional connectivity caused by white matter (WM) lesions. We explored whether WM lesions functionally connected to specific brain regions contribute to these MS‐related manifestations.
Alessandro Franceschini, Paolo Preziosa, Paola Valsasina, Damiano Mistri, Monica Margoni, Federica Esposito, Massimo Filippi, Maria A. Rocca   +7 more
wiley   +1 more source