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Congruences for Ramanujans f and {omega} functions via generalized Borcherds products

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 نشر من قبل Robert Grizzard
 تاريخ النشر 2013
  مجال البحث
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Bruinier and Ono recently developed the theory of generalized Borcherds products, which uses coefficients of certain Maass forms as exponents in infinite product expansions of meromorphic modular forms. Using this, one can use classical results on congruences of modular forms to obtain congruences for Maass forms. In this note we work out the example of Ramanujans mock theta functions f and {omega} in detail.

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