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Showing 1 to 2 of 2 for “"Borcherds-Produkt"”.
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Modular forms for the orthogonal group O(2,5)
… as invariant polynomials of theta series, and as Borcherds products. The Borcherds products are (meromorphic) modular forms with explicitly known divisors. Using a reduction process we can, in two cases, determine generators of the graded ring of orthogonal modular forms. It turns out that in both …
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Hilbert modular forms for the fields Q( 5), Q( 13) and Q( 17)
… of the known rings using Eisenstein series and Borcherds products, as they were formulated in Bruinier, Bundschuh, "On Borcherds products associated with lattices of prime discriminant", Ramanujan J., 7, 49-61 (2003) for the case of Hilbert modular forms. We compute the rings of modular forms …