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Nicolas, J.-L. (1981-1982) Petites valeurs de la fonction d’Euler et hypothèse de Riemann, Séminaire de Théorie des nombres. D.P.P., 207-218, Progress in Mathematics, Vol. 38, Birkhäuser, 1983.

has been cited by the following article:

• TITLE: Consequences of Invariant Functions for the Riemann Hypothesis

  AUTHORS: Michael Mark Anthony

  KEYWORDS: LambertW Function, Principal Branch, Riemann Hypothesis, Iterations, Robin Inequality, Robin Integers, Invariance, Gauss Gamma Function, Li-Function, Prime Counting Function, Sums of Divisors, Invariance, Primes, Twin Primes

  JOURNAL NAME: Advances in Pure Mathematics, Vol.15 No.1, January 24, 2025

  ABSTRACT: This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specifically the Robin inequality and the Riemann hypothesis. The exploration of using invariant properties of these functions to derive insights into twin primes and sequential primes is a potentially innovative concept that deserves careful consideration by the mathematical community.