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math.NT2022★ 1 cited
Twisted th moments of primitive Dirichlet -functions: beyond the diagonal
Siegfred Baluyot, Caroline L. Turnage-Butterbaugh
We study the family of Dirichlet -functions of all even primitive characters of conductor at most , where is a parameter tending to . For an arbitrary positive in…
math.NT2022★ 1 cited
On the Montgomery-Odlyzko method regarding gaps between zeros of the zeta-function
Daniel A. Goldston, Timothy S. Trudgian, Caroline L. Turnage-Butterbaugh
Assuming the Riemann Hypothesis, it is known that there are infinitely many consecutive pairs of zeros of the Riemann zeta-function within 0.515396 times the average spacing. This…