2020arXiv (Cornell University)Open access

Some remarks on sum of Euler's totient function

Es-said En-naoui

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Abstract

Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n. The aim of this article is to give a result about the sum of euler's totient function from k equal 1 to n whene p divides n and p a prime number.

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Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n. The aim of this article is to give a result about the sum of euler's totient function from k equal 1 to n whene p divides n and p a prime number.

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Available abstract

Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n. The aim of this article is to give a result about the sum of euler's totient function from k equal 1 to n whene p divides n and p a prime number.

Key concepts: Euler's totient function, Euler's formula, Mathematics, Prime (order theory), Combinatorics, Function (biology), Integer (computer science), Discrete mathematics

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