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INDIVIDUAL THYROID DOSE ESTIMATES FOR THE GENOMIC STUDY OF FOLLICULAR CARCINOMAS AND ADENOMAS IN PARTICIPANTS OF THE CHORNOBYL TISSUE BANK. [PDF]
Masiuk SV +16 more
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Exploring the Bidirectional Relationship Between Numerical Cognition and Motor Performance: A Systematic Review. [PDF]
Rached E +6 more
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Co-occurrence of selenium and toxic elements and health risk assessment in commercial selenium-enriched rice from China. [PDF]
Xie Q +11 more
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Additive Arithmetic Functions on Arithmetic Progressions
Proceedings of the London Mathematical Society, 1987For an additive arithmetic function f, and positive integer D, let E(x,D) be \[ \max_{y\leq x}\max_{(r,D)=1}| \sum_{n\leq y,\quad n\equiv r (mod D)}f(n)-(1/\phi (D))\sum_{n\leq y,\quad (n,D)=1}f(n)|. \] Strengthening results from Chapter 7 of his monograph ''Arithmetic functions and integer products'' (1985; Zbl 0559.10032), the author proves that for ...
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1994
The aim of this book is to characterize certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related ...
Wolfgang Schwarz, Jürgen Spilker
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The aim of this book is to characterize certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related ...
Wolfgang Schwarz, Jürgen Spilker
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Arithmetical Functions and Distributivity
Canadian Mathematical Bulletin, 1970In this note we shall present a result about incidence functions on a locally finite partially ordered set, a result which is related to theorems of Lambek [2] and Subbarao [6]. Our terminology and notation will be that of Smith [4, 5] and Rota [7].Let (L, ≤) be a partially ordered set which is locally finite in the sense that for all x, y ∊ L the ...
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