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math.NT2023
Nonlocal correlation in L-functions
Gordon Chavez
We identify a nonlocal correlation structure in L-functions. This structure involves very long and infinite-range correlations between values of logarithmic L-functions, where the…
math.NT2021
Zeta zero dependence and the critical line
Gordon Chavez
On the critical line the conditional distribution of the zeta function's magnitude around zeta zeros exists and predicts the well-known pair correlation between nontrivial zeta zer…
math.NT2021★ 1 cited
Prime zeta function statistics and Riemann zero-difference repulsion
Gordon Chavez, Altan Allawala
We present a derivation of the numerical phenomenon that differences between the Riemann zeta function's nontrivial zeros tend to avoid being equal to the imaginary parts of the ze…