All ones function

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This article defines an arithmetic function or number-theoretic function: a function from the natural numbers to a ring (usually, the ring of integers, rational numbers, real numbers, or complex numbers).
View a complete list of arithmetic functions


Let be a commutative unital ring. The all ones function from the natural numbers to is the function that sends every natural number to the identity element of .

The all ones function is typically denoted by the letter .

Relation with other arithmetic functions