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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
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Identical equations for multiplicative functions [PDF]
Notes on Number Theory and Discrete MathematicsWe examine identical equations for multiplicative functions and certain special cases, such as totients and quadratics. We confine ourselves to identical equations expressing the value f(mn) (or the value f(m)f(n)) nontrivially in terms of the values f(m/
Pentti Haukkanen
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Multiplicative Square Functions
Revista Matemática Iberoamericana, 2004 We study regularity properties of a positive measure in the euclidean space in terms of two square functions which are the multiplicative analogues of the usual martingale square function and of the Lusin area function of a harmonic function.
González, María José, Nicolau, Artur
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Multiple Functions of Thioredoxins
Zeitschrift für Naturforschung C, 1978 Abstract Reduced thioredoxins from microbial and plant cells, both of cytoplasmic or chloroplast origin, are interchangeable in stimulating such diverse enzyme activities as ribonucleoside diphosphate reductase (E. coli) , PAPS sulfotransferase (Synechococcus), and fructose-1,6-bis-phosphatase (from spinach) in vitro.
W, Wagner, H, Follmann, A, Schmidt
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Hermite–Hadamard type inequalities for multiplicatively harmonic convex functions
Journal of Inequalities and Applications, 2023 In this work, the notion of a multiplicative harmonic convex function is examined, and Hermite–Hadamard inequalities for this class of functions are established.
Serap Özcan, Saad Ihsan Butt
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Osteoprotegerin: Multiple partners for multiple functions [PDF]
Cytokine & Growth Factor Reviews, 2013 Osteoprotegerin (OPG) is an essential secreted protein in bone turnover due to its role as a decoy receptor for the Receptor Activator of Nuclear Factor-kB ligand (RANKL) in the osteoclasts, thus inhibiting their differentiation. However, there are additional ligands of OPG that confer various biological functions.
Baud'huin, M.E. +8 more
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On the General and Measurable Solutions of some Functional Equations
Annales Mathematicae Silesianae, 2018 The general solutions of two functional equations, without imposing any regularity condition on any of the functions appearing, have been obtained. From these general solutions, the Lebesgue measurable solutions have been deduced by assuming the function(
Nath Prem, Singh Dhiraj Kumar
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Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars
Journal of Mathematics, 2021 The field of graph theory is broadly growing and playing a remarkable role in cheminformatics, mainly in chemistry and mathematics in developing different chemical structures and their physicochemical properties.
Aqsa Sattar +2 more
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A Novel Form of Multiplicative Gamma Function and Its Analytical Properties
Journal of Function SpacesIn this article, we introduce and investigate a novel Euler-style multiplicative gamma function formulated within the framework of multiplicative calculus.
Sajedeh Norozpour +3 more
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Multiplicative polynomials and Fermat's little theorem for non-primes
International Journal of Mathematics and Mathematical Sciences, 1997 Fermat's Little Theorem states that xp=x(modp) for x∈N and prime p, and so identifies an integer-valued polynomial (IVP) gp(x)=(xp−x)/p. Presented here are IVP's gn for non-prime n that complete the sequence {gn|n∈N} in a natural way.
Paul Milnes, C. Stanley-Albarda
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