Results 51 to 60 of about 52,924 (309)
Sharp $L^1$ Inequalities for Sup-Convolution
Discrete Analysis, 2023 Sharp $L^1$ Inequalities for Sup-Convolution, Discrete Analysis 2023:7, 16 pp. Let $f$ and $g$ be two real-valued functions defined on a compact convex subset $C$ of $\mathbb R^k$.
Hunter Spink +2 more
doaj +1 more source
Molecular Oncology, EarlyView.This study explores salivary RNA for breast cancer (BC) diagnosis, prognosis, and follow‐up. High‐throughput RNA sequencing identified distinct salivary RNA signatures, including novel transcripts, that differentiate BC from healthy controls, characterize histological and molecular subtypes, and indicate lymph node involvement.
Nicholas Rajan +9 more
wiley +1 more source
Convolution formula for the sums of generalized Dirichlet L-functions
, 2018 Using the Kuznetsov trace formula, we prove a spectral decomposition for the sums of generalized Dirichlet $L$-functions. Among applications are an explicit formula relating norms of prime geodesics to moments of symmetric square $L$-functions and an ...
Balkanova, Olga, Frolenkov, Dmitry
core +1 more source
Modeling hepatic fibrosis in TP53 knockout iPSC‐derived human liver organoids
Molecular Oncology, EarlyView.This study developed iPSC‐derived human liver organoids with TP53 gene knockout to model human liver fibrosis. These organoids showed elevated myofibroblast activation, early disease markers, and advanced fibrotic hallmarks. The use of profibrotic differentiation medium further amplified the fibrotic signature seen in the organoids.
Mustafa Karabicici +8 more
wiley +1 more source
An inequality for the distance between densities of free convolutions
, 2013 This paper contributes to the study of the free additive convolution of probability measures. It shows that under some conditions, if measures $\mu_i$ and $\nu_i, i=1,2$, are close to each other in terms of the L\'{e}vy metric and if the free convolution
Kargin, V.
core +1 more source
A sieve method for shifted convolution sums [PDF]
Duke Mathematical Journal, 2009 To appear in Duke Math. J.
openaire +4 more sources
A synthetic benzoxazine dimer derivative targets c‐Myc to inhibit colorectal cancer progression
Molecular Oncology, EarlyView.Benzoxazine dimer derivatives bind to the bHLH‐LZ region of c‐Myc, disrupting c‐Myc/MAX complexes, which are evaluated from SAR analysis. This increases ubiquitination and reduces cellular c‐Myc. Impairing DNA repair mechanisms is shown through proteomic analysis.
Nicharat Sriratanasak +8 more
wiley +1 more source
The second moment of twisted modular L-functions
, 2014 We prove an asymptotic formula with a power saving error term for the (pure or mixed) second moment of central values of L-functions of any two (possibly equal) fixed cusp forms f, g twisted by all primitive characters modulo q, valid for all ...
Blomer, Valentin, Milićević, Djordje
core +1 more source
Ramanujan’s convolution sum twisted by Dirichlet characters
International Journal of Number Theory, 2019 We find formulas for convolutions of sum of divisor functions twisted by the Dirichlet character [Formula: see text], which are analogous to Ramanujan’s formula for convolution of usual sum of divisor functions. We use the theory of modular forms to prove our results.
Aygin, Zafer Selcuk, Hong, Nankun
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CONVOLUTION SUMS ARISING FROM DIVISOR FUNCTIONS [PDF]
Journal of the Korean Mathematical Society, 2013 Let s(N) denote the sum of the sth powers of the positive divisors of a positive integer N and let e s(N) = P djN ( 1) d 1 d s with d, N, and s positive integers.
Aeran Kim, Daeyeoul Kim, Li Yan
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