number-theoretic formalism - traduction vers russe
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number-theoretic formalism - traduction vers russe

ANY FUNCTION WHOSE DOMAIN IS THE POSITIVE INTEGERS AND WHOSE RANGE IS A SUBSET OF THE COMPLEX NUMBERS
Arithmetic functions; Arithmetical function; Number-theoretic function; Number-theoretic functions; Number theoretic function; Arithmetical functions; Summatory function

number-theoretic formalism      

математика

теоретико-числовой формализм

formal analysis         
STUDY OF ART BY ANALYZING AND COMPARING FORM AND STYLE
Formalism in Art; Formal analysis; Aesthetic formalism; Formalism in art

математика

формальный анализ

formalism in art         
STUDY OF ART BY ANALYZING AND COMPARING FORM AND STYLE
Formalism in Art; Formal analysis; Aesthetic formalism; Formalism in art
формализм в искусстве

Définition

ВЕЩЕСТВЕННОЕ ЧИСЛО
то же, что действительное число.

Wikipédia

Arithmetic function

In number theory, an arithmetic, arithmetical, or number-theoretic function is for most authors any function f(n) whose domain is the positive integers and whose range is a subset of the complex numbers. Hardy & Wright include in their definition the requirement that an arithmetical function "expresses some arithmetical property of n".

An example of an arithmetic function is the divisor function whose value at a positive integer n is equal to the number of divisors of n.

There is a larger class of number-theoretic functions that do not fit the above definition, for example, the prime-counting functions. This article provides links to functions of both classes.

Arithmetic functions are often extremely irregular (see table), but some of them have series expansions in terms of Ramanujan's sum.

Traduction de &#39number-theoretic formalism&#39 en Russe