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Some properties of specially multiplicative functions
, 1981 In this paper we study some of the properties of specially multiplicative functions, which are multiplicative functions satisfying the identity (1.2). We define the norm of a specially multiplicative function (see (2.5)) and study its properties. We give
Sivaramakrishnan, R, Redmond, Don
core +1 more source
Some characterizations of totients
International Journal of Mathematics and Mathematical Sciences, 1996 An arithmetical function is said to be a totient if it is the Dirichlet convolution between a completely multiplicative function and the inverse of a completely multiplicative function. Euler's phi-function is a famous example of a totient.
Pentti Haukkanen
doaj +1 more source
Electron transfer between complexes III and IV in S. cerevisiae mitochondrial membranes
FEBS Letters, EarlyView.Mitochondrial oxidative phosphorylation in S. cerevisiae mitoplasts is limited by complex IV catalytic capacity, rather than two‐dimensional cytochrome c diffusion. At physiological cytochrome c : supercomplex ratios at salinity equivalent to that of 20 mm monovalent salt, activity is maximized, indicating that this low ionic strength accurately mimics
Ana Paula Lobez +2 more
wiley +1 more source
On Schur multiple zeta functions: A combinatoric generalization of multiple zeta functions [PDF]
Advances in Mathematics, 2018 We introduce Schur multiple zeta functions which interpolate both the multiple zeta and multiple zeta-star functions of the Euler-Zagier type combinatorially. We first study their basic properties including a region of absolute convergence and the case where all variables are the same.
Nakasuji, M. +2 more
openaire +3 more sources
Interpreting the effects of DNA polymerase variants at the structural level
Molecular Oncology, EarlyView.Using MAVISp and molecular dynamics simulations, we analyzed over 60 000 missense variants in POLE and POLD1 from ClinVar, COSMIC, cBioPortal, and saturation mutagenesis. Identified mechanistic indicators, including stability, binding, and long‐range, enable structural interpretation, providing ACMG‐like evidence for possible reclassification of VUS ...
Matteo Arnaudi +7 more
wiley +1 more source
Capturing the zero: a new class of zero-augmented distributions and multiplicative error processes [PDF]
, 2010 We propose a novel approach to model serially dependent positive-valued variables which realize a non-trivial proportion of zero outcomes. This is a typical phenomenon in financial time series observed on high frequencies, such as cumulated trading ...
Hautsch, Nikolaus +2 more
core
Molecular Oncology, EarlyView.Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi +14 more
wiley +1 more source
Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma
Molecular Oncology, EarlyView.Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski +10 more
wiley +1 more source
On Benford’s law for multiplicative functions
Proceedings of the American Mathematical Society, 2023 We provide a criterion to determine whether a real multiplicative function is a strong Benford sequence. The criterion implies that the k k
Chandee, Vorrapan +3 more
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MiR‐513a promotes human erythroid differentiation by modulating c‐Jun
FEBS Open Bio, EarlyView.During early human erythropoiesis, miR‐513a promoted erythroid differentiation in primary human CD34+ hematopoietic stem‐progenitor cells and human TF‐1 erythroleukemic cells by indirectly decreasing c‐Jun and phospho‐c‐Jun expression, which are associated with increased GATA1 expression.
MinJung Kim +11 more
wiley +1 more source