Results 71 to 80 of about 51,880 (308)

Averages of shifted convolution sums for $GL(3) \times GL(2)$ [PDF]

, 2022
Qingfeng Sun
openalex   +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

Asymptotic identities for additive convolutions of sums of divisors

Mathematical Proceedings of the Cambridge Philosophical Society, 2022
AbstractIn a 1916 paper, Ramanujan studied the additive convolution $S_{a, b}(n)$ of sum-of-divisors functions $\sigma_a(n)$ and $\sigma_b(n)$ , and proved an asymptotic formula for it when a and b are positive odd integers. He also conjectured that his asymptotic formula should hold for all positive real a and b.
Oliver, Robert J. Lemke, Shrestha, Sunrose T., Thorne, Frank   +2 more
openaire   +2 more sources

Multidimensional OMICs reveal ARID1A orchestrated control of DNA damage, splicing, and cell cycle in normal‐like and malignant urothelial cells

Molecular Oncology, EarlyView.
Loss of the frequently mutated chromatin remodeler ARID1A, a subunit of the SWI/SNF cBAF complex, results in less open chromatin, alternative splicing, and the failure to stop cells from progressing through the cell cycle after DNA damage in bladder (cancer) cells. Created in BioRender. Epigenetic regulators, such as the SWI/SNF complex, with important
Rebecca M. Schlösser, Florian Krumbach, Eyleen Corrales, Geoffroy Andrieux, Christian Preisinger, Franziska Liss, Alexandra Golzmann, Melanie Boerries, Kerstin Becker, Ruth Knüchel, Stefan Garczyk, Bernhard Lüscher   +11 more
wiley   +1 more source

Inverse theorems for discretized sums and $L^q$ norms of convolutions in $\mathbb{R}^d$ [PDF]

, 2023
Pablo Shmerkin
openalex   +1 more source

Evaluation of two convolution sums involving the sum of divisors function [PDF]

Bulletin of the Australian Mathematical Society, 2006
The convolution sumsandare evaluated for alln∈ ℕ.
Mathieu F. Lemire, Kenneth S. Williams
openaire   +1 more source

MicroRNA 196a contributes to the aggressiveness of esophageal adenocarcinoma through the MYC/TERT/NFκB axis

Molecular Oncology, EarlyView.
mir‐196a promotes Esophagus Adenocarcinoma aggressiveness. On one hand, mir‐196a targets the valosin‐containing protein (VCP) mRNA, causing the accumulation of c‐MYC protein that leads to high amounts of TERT. On the other hand, mir‐196a targets the inhibitor of NFκB (NFKBIA).
Jesús García‐Castillo, Carlos M. Martínez‐Cáceres, Manuel Bernabé‐García, Vicente Munitiz, David Ruiz de Angulo, Pascual Parrilla, Ángeles Ortiz, Luisa F. Martínez de Haro, María L. Cayuela   +8 more
wiley   +1 more source

EVALUATING CONVOLUTION SUMS OF THE DIVISOR FUNCTION BY QUASIMODULAR FORMS [PDF]

International Journal of Number Theory, 2007
We provide a systematic method to compute arithmetic sums including some previously computed by Alaca, Besge, Cheng, Glaisher, Huard, Lahiri, Lemire, Melfi, Ou, Ramanujan, Spearman and Williams. Our method is based on quasimodular forms. This extension of modular forms has been constructed by Kaneko and Zagier.
openaire   +4 more sources

Cytomegalovirus infection is common in prostate cancer and antiviral therapies inhibit progression in disease models

Molecular Oncology, EarlyView.
Human cytomegalovirus infection is common in normal prostate epithelium, prostate tumor tissue, and prostate cancer cell lines. CMV promotes cell survival, proliferation, and androgen receptor signaling. Anti‐CMV pharmaceutical compounds in clinical use inhibited cell expansion in prostate cancer models in vitro and in vivo, motivating investigation ...
Johanna Classon, Moa Stenudd, Margherita Zamboni, Kanar Alkass, Carl‐Johan Eriksson, Lars Pedersen, Alrik Schörling, Anna Thoss, Anders Bergh, Pernilla Wikström, Hans‐Olov Adami, Henrik Toft Sørensen, Henrik Druid, Jonas Frisén   +13 more
wiley   +1 more source

On the connections between Fibonacci and Mulatu Numbers

Intermaths
In this work, we present a detailed study of the Fibonacci--Mulatu sequence, {FMn}, defined recursively by FMn+2=FMn+1+FMn with initial terms FM0 = 4 and FM1 = 1.
Eudes Antonio Costa, Élis Gardel da Costa Mesquita, Paula M. M. C. Catarino   +2 more
doaj   +1 more source