2013/03/12 by Yudong Wang, Wang, Yudong
Computer Science · Mathematics · #Advanced Algebra and Logic #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #math.NT
paper · pdf · doi:10.48550/arxiv.1303.2906
arxiv created 2013/03/15 · arxiv updated 2013/03/18
The lacunarity is an interesting property of a formal series. We say a series is lacunary if "almost all" of its coefficients are zero. In this article we considered about the lacunarity of some eta-products like η(z)2η(bz)2, and proved that they are lacunary if and only if b is 1,2,3,4 or 16. Then We write them as linear combinations of some CM forms.