We fixed the Lemma 3.
Keyphrases: Chebyshev function, prime numbers, Riemann hypothesis, Riemann zeta function
@Booklet{EasyChair:13682, author = {Frank Vega}, title = {Note for the Riemann Hypothesis}, howpublished = {EasyChair Preprint no. 13682}, year = {EasyChair, 2024}}