Landau-Siegel Zeroes and Black Hole Entropy

Abstract

There has been some speculation about relations of D-brane models of black holes to arithmetic. In this note we point out that some of these speculations have implications for a circle of questions related to the generalized Riemann hypothesis on the zeroes of Dirichlet $L$-functions.

30 pp. harvmac (b), 1 figure. V2: Statement of Theorem 4.1 corrected. Some clarifications. One reference added. v3: New appendix, by S.D. Miller, gives proof of Theorem 4.1

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