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ricardo gil
Number Theory Researcher
San Antonio, Texas
Public Documents
2
Prime number theorem with error correction
Ricardo Gil
June 07, 2024
The distribution and density of these zeros affect the error term in the Prime Number Theorem. If the Riemann Hypothesis holds, it implies a tighter error bound in the Prime Number Theorem.
Behavior of Non-trivial Zeros and Prime Numbers in Riemann Hypothesis
Ricardo Gil
May 30, 2024
The Riemann Hypothesis proposes a specific location (the critical line) for the non-trivial zeros of the Riemann zeta function. This paper argues that the aperiodicity observed in the distribution of these non-trivial zeros and the distribution of primes numbers is a fundamental property. A periodic zeta function would significantly alter