Results 41 to 50 of about 90,542 (255)

More congruences for central binomial coefficients

Journal of Number Theory, 2010
Let \(p>5\) be a prime number. The author proves that \[ \sum_{k=1}^{p-1}\frac{1}{k^2}\binom{2k}{k}^{-1}\equiv\frac13 \frac{H(1)}{p}\pmod {p^3} \] and that \[ \sum_{k=1}^{p-1}\frac{(-1)^k}{k^3}\binom{2k}{k}^{-1}\equiv-\frac25 \frac{H(1)}{p^2}\pmod {p^3}, \] where \(H(1)=\sum_{k=1}^{p-1}\frac{1}{k}\).
openaire   +3 more sources

MYCOPHENOLATE MOFETIL TREATMENT REDUCES THE RISK OF TREATMENT ESCALATION DUE TO VASCULAR COMPLICATIONS IN LIMITED CUTANEOUS SYSTEMIC SCLEROSIS: EMULATION OF A TARGET TRIAL FROM ITALIAN RHEUMATOLOGY SOCIETY SPRING REGISTRY

Arthritis Care &Research, Accepted Article.
Objective Mycophenolate Mofetil (MMF) use in limited cutaneous systemic sclerosis (lcSSc) is relatively uncommon due to the lower fibrotic burden and the predominance of the vascular complications. In vitro observations and clinical data from transplanted patients suggest a protective effect of MMF on endothelial function.
Enrico De Lorenzis, Gerlando Natalello, Rossella De Angelis, Lucrezia Verardi, Dilia Giuggioli, Gianluigi Bajocchi, Lorenzo Dagna, Silvia Bellando‐Randone, Giovanni Zanframundo, Rosario Foti, Fabio Cacciapaglia, Giovanna Cuomo, Alarico Ariani, Edoardo Rosato, Gemma Lepri, Francesco Girelli, Valeria Riccieri, Elisabetta Zanatta, Ilaria Cavazzana, Francesca Ingegnoli, Maria De Santis, Giuseppe Murdaca, Giuseppina Abignano, Giorgio Pettiti, Alessandra Della Rossa, Maurizio Caminiti, Annamaria Iuliano, Giovanni Ciano, Lorenzo Beretta, Gianluca Bagnato, Ennio Lubrano, Maria Ilenia De Andres, Alessandro Giollo, Cosimo Bruni, Martina Orlandi, Marco Fornaro, Marta Saracco, Cecilia Agnes, Pier Giacomo Cerasuolo, Gabriella Alonzi, Edoardo Cipolletta, Federica Lumetti, Amelia Spinella, Luca Magnani, Corrado Campochiaro, Giacomo De Luca, Veronica Codullo, Elisa Visalli, Carlo Iandoli, Antonietta Gigante, Greta Pellegrino, Erika Pigatto, Maria‐Grazia Lazzaroni, Franco Franceschini, Elena Generali, Gianna Mennillo, Simone Barsotti, Giuseppa Pagano Mariano, Federica Furini, Licia Vultaggio, Simone Parisi, Clara Lisa Peroni, Gerolamo Bianchi, Enrico Fusaro, Gian Domenico Sebastiani, Marcello Govoni, Salvatore D'Angelo, Franco Cozzi, Fabrizio Conti, Serena Guiducci, Andrea Doria, Carlo Salvarani, Florenzo Iannone, Maria Antonietta D'Agostino, Clodoveo Ferri, Marco Matucci Cerinic, Silvia Laura Bosello, on behalf of SPRING collaborators   +77 more
wiley   +1 more source

Odd Euler Sums and Harmonic Series with Cubic Central Binomial Coefficients in Denominators

Axioms
By means of the coefficient extraction method, we examine a transformation of a classical hypergeometric series. Three classes of infinite series (of convergence rate “1/4”) with harmonic numbers in numerators and cubic central binomial coefficients in ...
Chunli Li, Wenchang Chu
doaj   +1 more source

p-adic valuations of some sums of multinomial coefficients

, 2011
Let $m$ and $n>0$ be integers. Suppose that $p$ is a prime dividing $m-4$ but not dividing $m$. We show that $\nu_p(\sum_{k=0}^{n-1}\frac{\binom{2k}k}{m^k})$ and $\nu_p(\sum_{k=0}^{n-1}\binom{n-1}{k}(-1)^k\frac{\binom{2k}k}{m^k})$ are at least $\nu_p(n)$,
Sun, Zhi-Wei
core   +1 more source

Developing and Evaluating a Laboratory‐Based Frailty Index (FI‐Lab) for the Prediction of Long‐Term Health Outcomes in Systemic Lupus Erythematosus

Arthritis Care &Research, Accepted Article.
Objective We aimed to construct and evaluate the first laboratory‐based frailty index (FI‐Lab) for predicting adverse outcomes in systemic lupus erythematosus (SLE) and to compare its predictive ability to that of an existing clinical frailty index (FI).
Grace Burns, Samuel D. Searle, Alexandra Legge   +2 more
wiley   +1 more source

Canonical characters on quasi-symmetric functions and bivariate Catalan numbers [PDF]

, 2004
Every character on a graded connected Hopf algebra decomposes uniquely as a product of an even character and an odd character (Aguiar, Bergeron, and Sottile, math.CO/0310016).
Aguiar, Marcelo, Hsiao, Samuel K.
core   +5 more sources

Integrated Transcriptomics Reveals Evolutionary Trajectories and Cell Density‐Dependent Mechanisms in Aldosterone‐Producing Adenomas

Advanced Science, EarlyView.
Aldosterone‐producing adenomas (APAs) develop via two distinct paths: directly from adrenal zona glomerulosa (zG) cells, or stepwise from zG cells through aldosterone‐producing micronodules (APMs) before progressing to APAs. Advanced single‐cell and spatial analyses identified distinct cell states linked to oxidative stress and cell–cell interactions ...
Zhuolun Sun, Changying Jing, Martina Tetti, Siyuan Gong, Jia Wei, Yingxian Pang, Martin Reincke, Tracy Ann Williams   +7 more
wiley   +1 more source

Thermal Plasticity is Regulated by a Key MicroRNA During Range Expansion of an Invasive Fruit Fly

Advanced Science, EarlyView.
Populations at the invasion front of Bactrocera dorsalis adapt through reduced phenotypic and gene expression plasticity, a phenomenon likely to be driven by genetic assimilation. We identify a key miRNA‐mediated regulatory axis, in which miR‐276b post‐transcriptionally represses thw, a conserved chitin‐binding gene critical to the cold‐tolerance ...
Yan Zhao, Juntao Hu, Juan Du, Shaokun Guo, Youming Hou, Zhihong Li   +5 more
wiley   +1 more source

A short derivation of an elegant sum involving central binomial coefficients due to László via a hypergeometric series approach [PDF]

Contributions to Mathematics, 2022
Dongkyu Lim, Arjun K. Rathie
doaj   +1 more source

PARPi Combining Nanoparticle LIN28B siRNA for the Management of Malignant Ascites

Advanced Science, EarlyView.
This study demonstrates that co‐inhibition of LIN28B and PARP using siLin28b/DSSP@lip‐PEG‐FA nanoparticles in combination with the PARP inhibitor BMN673 effectively suppresses the accumulation of malignant ascites associated with advanced cancers.
Yan Fang, Qian Shen, Yao Lin, Jing Zhu, Xiaolan Zhu, Rui Huang, Yijia Wu, Feiyang Shen, Qian Li, Guopei Zheng, Zhe Zhang, Qian Chu, Junhao Hu, Jianfeng Shen   +13 more
wiley   +1 more source