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Function Evaluation in Unnormalized Arithmetic
Journal of the ACM, 1964The evaluation of a function of one argument is a standard computational task. When an unnormalized number representation is used, it is appropriate that function evaluation to subject to certain “adjustment” criteria, defined independently of the computing method. In this paper some such criteria are developed, and their application described.
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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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The author plans a series of three articles on the theory of arithmetical functions, of which the present one is the first. The paper is expository at the introductory level. This first part deals with some problems of elementary number theory.
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Table-driven implementation of the exponential function in IEEE floating-point arithmetic
ACM Transactions on Mathematical Software, 1989John R Rice
exaly
Computing the Lambert W function in arbitrary-precision complex interval arithmetic
Numerical Algorithms, 2019Fredrik Johansson, Johansson Fredrik
exaly
Homological properties of certain arithmetic groups in the function field case
Inventiones Mathematicae, 1980Ulrich Stuhler, Stuhler Ulrich
exaly
The Riemann Zeta Function on Arithmetic Progressions
Experimental Mathematics, 2012Elias Wegert, Jorn Steuding
exaly

