Results 71 to 80 of about 52,800 (268)
Ramanujan’s Tau-Function and Convolution Sums
European Journal of Theoretical and Applied SciencesWe study certain type of convolution sums involving an arbitrary arithmetic function f, which it is applied to Ramanujan’s tau function when f coincides with the sum of divisors function.
R. Sivaraman +2 more
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Estimates for character sums with various convolutions [PDF]
Acta Arithmetica, 2017 We provide estimates for sums of the form \[\left|\sum_{a\in A}\sum_{b\in B}\sum_{c\in C} (a+b+c)\right|\] and \[\left|\sum_{a\in A}\sum_{b\in B}\sum_{c\in C}\sum_{d\in D} (a+b+cd)\right|\] when $A,B,C,D\subset \mathbb F_p$, the field with $p$ elements and $ $ is a non-trivial multiplicative character modulo $p$.
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Peroxidasin enables melanoma immune escape by inhibiting natural killer cell cytotoxicity
Molecular Oncology, EarlyView.Peroxidasin (PXDN) is secreted by melanoma cells and binds the NK cell receptor NKG2D, thereby suppressing NK cell activation and cytotoxicity. PXDN depletion restores NKG2D signaling and enables effective NK cell–mediated melanoma killing. These findings identify PXDN as a previously unrecognized immune evasion factor and a potential target to improve
Hsu‐Min Sung +17 more
wiley +1 more source
Fast Gaussian Filter Approximations Comparison on SIMD Computing Platforms
Applied SciencesGaussian filtering, being a convolution with a Gaussian kernel, is a widespread technique in image analysis and computer vision applications. It is the traditional approach for noise reduction.
Ekaterina O. Rybakova +2 more
doaj +1 more source
A Characterization of the Compound Multiparameter Hermite Gamma Distribution via Gauss’s Principle
The Scientific World Journal, 2013 We consider the class of those distributions that satisfy Gauss's principle (the maximum likelihood estimator of the mean is the sample mean) and have a parameter orthogonal to the mean.
Werner Hürlimann
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Molecular Oncology, EarlyView.Cytarabine is a key therapy for acute myeloid leukaemia (AML), but its efficacy is limited by the dNTPase SAMHD1, which hydrolyses its active metabolite. Screening nucleotide biosynthesis inhibitors revealed that IMPDH inhibitors selectively sensitise SAMHD1‐proficient AML cells to cytarabine.
Miriam Yagüe‐Capilla +9 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
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On a shifted convolution sum problem
Journal of Number Theory, 2022 It is proved here that for a holomorphic newform of prime level \( p \) and trivial nebentypus, the shifted convolution sum \(\sum_{m=1}^{\infty } \lambda_f(m)\lambda_f(m+pu)F(m/M) \) is \( \ll p^{1/2+ \varepsilon} M^{3/4}\) for \( p^{1+\varepsilon}\ll M\ll p^{3-\varepsilon} \) and ...
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Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining
Molecular Oncology, EarlyView.IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis +3 more
wiley +1 more source
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
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