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Tag: Spectral Theory in Mathematical Physics

  • Spectral localizer matches local Chern and winding markers

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    What the study found The study explicitly demonstrates that the spectral localizer is equivalent to local Chern and winding markers. The authors show that Chern and winding markers appear as leading-order terms in a perturbative expansion in the spectral localizer parameter κ. Why the authors say this matters The authors say this matters because the…

  • Conditional bounds for Dirichlet L-function arguments and low-lying zeros

    Conditional bounds for Dirichlet L-function arguments and low-lying zeros

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    What the study found Under the generalized Riemann hypothesis, the study gives conditional bounds on the mean and mean square of the argument of Dirichlet L-functions for large prime modulus. It also reports applications to low-lying zeros and a new lower bound on the proportion of Dirichlet L-functions with zeros close to the central point.…