A Totient Function Inequality

2010/02/09 by N. A. Carella, Carella, N. A.
Mathematics · #11A25 #11A41 #11Y35 #Advanced Mathematical Theories #Analytic Number Theory Research #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1002.1998

openalex publication_date 2010/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An unconditional inequality of the totient function is contributed to the literature. This result is associated with various problems about the distribution of prime numbers.

Citations

• Approximate formulas for some functions of prime numbers
• Estimates of Some Functions Over Primes without R.H.
• Sieving and the Erd\H os-Kac theorem
• Mertens' Proof of Mertens' Theorem

Related

• A Divisor Function Inequality
• An inequality involving primes and the product of primes
• A new inequality involving primes
• Some remarks on sum of Euler's totient function
• Divisor and Totient Functions Estimates