number-theoretic function

number-theoretic function

[¦nəm·bər ‚thē·ə¦red·ik ′fəŋk·shən]
(mathematics)
A function whose domain is the set of positive integers.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Articles are grouped in sections on arithmetic, primes, irrationality and continued fractions, sums of squares and polygonal numbers, Fibonacci numbers, number-theoretic functions, and elliptic curves, cubes, and Fermat's last theorem.
Biscuits of number theory
Now we define two new number-theoretic functions U(n) and V (n) as following,
Two asymptotic formulae on the k + 1-power free numbers
From the point of view of classical mathematics, there are uncountably many sets of natural numbers and uncountably many number-theoretic functions. Since the finitist (meta-)mathematician probably refuses to allow the postulation of uncountably many figures, he will not have enough figures at his disposal for "coding" all number-theoretic functions.
What Finitism could not be

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