78 citations · 295 across the 35 of their papers we have counts for
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Automorphic Forms and Lorentzian Kac-Moody Algebras. Part II
Valeri A. Gritsenko, Viacheslav V. Nikulin
We give variants of lifting construction, which define new classes of modular forms on the Siegel upper half-space of complex dimension 3 with respect to the full paramodular group…
Automorphic Forms and Lorentzian Kac--Moody Algebras. Part I
Valeri A. Gritsenko, Viacheslav V. Nikulin
Using the general method which was applied to prove finiteness of the set of hyperbolic generalized Cartan matrices of elliptic and parabolic type, we classify all symmetric (and t…
The Igusa modular forms and ``the simplest'' Lorentzian Kac--Moody algebras
Valeri A. Gritsenko, Viacheslav V. Nikulin
We find automorphic corrections for the Lorentzian Kac--Moody algebras with the simplest generalized Cartan matrices of rank 3: A_{1,0} = 2 0 -1 0 2 -2 -1 -2 2 and A_{1,I} = 2 -2 -…
The Remark on Discriminants of K3 Surfaces Moduli as Sets of Zeros of Automorphic Forms
Viacheslav V. Nikulin
We show that for any there exists a natural even such that the discriminant of moduli of K3 surfaces of the degree is not equal to the set of zeros of any automorph…