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Automorphic products that are singular modulo primes

Research in Number Theory, vol. 10

Abstract

Abstract We use Rankin–Cohen brackets on $$\textrm{O}(n, 2)$$ O ( n , 2 ) to prove that the Fourier coefficients of reflective Borcherds products often satisfy congruences modulo certain primes.

Authors 2

  1. Wuhan University

    Affiliation as printed

    School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, People’s Republic of China

    School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, People's Republic of China

  2. RWTH Aachen University

    Affiliation as printed

    Lehrstuhl A für Mathematik, RWTH Aachen, 52056, Aachen, Germany

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References 21