Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis
Author(s)Zagier, Don; Lewis, John B
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We show that an asymptotic property of the determinants of certain matrices whose entries are finite sums of cotangents with rational arguments is equivalent to the GRH for odd Dirichlet characters. This is then connected to the existence of certain quantum modular forms related to Maass Eisenstein series.
Research in the Mathematical Sciences
Springer International Publishing
Lewis, John, and Don Zagier. “Cotangent Sums, Quantum Modular Forms, and the Generalized Riemann Hypothesis.” Research in the Mathematical Sciences, vol. 6, no. 1, Mar. 2019. © 2018 The Authors
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