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Function Evaluation in Unnormalized Arithmetic

Journal of the ACM, 1964
The 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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Arithmetical Functions

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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Arithmetical functions. I

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.
openaire   +2 more sources

Table-driven implementation of the exponential function in IEEE floating-point arithmetic

ACM Transactions on Mathematical Software, 1989
John R Rice
exaly  

Computing the Lambert W function in arbitrary-precision complex interval arithmetic

Numerical Algorithms, 2019
Fredrik Johansson, Johansson Fredrik
exaly  

Homological properties of certain arithmetic groups in the function field case

Inventiones Mathematicae, 1980
Ulrich Stuhler, Stuhler Ulrich
exaly  

The Riemann Zeta Function on Arithmetic Progressions

Experimental Mathematics, 2012
Elias Wegert, Jorn Steuding
exaly  

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