Banca de DEFESA: ÉDER LUIS TOSTES

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : ÉDER LUIS TOSTES
DATE: 12/12/2023
TIME: 17:00
LOCAL: Campus Santo Antônio da UFSJ
TITLE:

Conjecture 41: An Asymptotic Approximation for the Prime Count−41 Function

KEY WORDS:

Prime numbers; Conjecture F; n-square Zeta; Polynomial v41; Conjecture 41.

PAGES: 57
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Matemática Aplicada
SPECIALTY: Matemática Discreta e Combinatória
SUMMARY:

The Hardy-Littlewood F Conjecture, proposed in 1922, states that certain quadratic functions generate infinitely many prime numbers, and provides an asymptotic relationship for the counting function of prime numbers. The present work exposes Conjecture 41, which states that the function count of primes−41, generated by the 2nd degree polynomial v41(x) = x^2 + 81x + 41^2, obtained through the n-square Zeta, is asymptotically equal to x/(A ln x+B) and verifies that if the conjecture were true, the polynomial would generate infinitely many prime numbers.

BANKING MEMBERS:
Presidente - 1671327 - JORGE ANDRES JULCA AVILA
Interno - 1758734 - JOSE ANGEL DAVALOS CHUQUIPOMA
Externo à Instituição - GERMAN JESUS LOZADA CRUZ - UNESP
Externo à Instituição - GABRIEL SILVA DE ANDRADE