## Rationality of the Folsom-Ono grid

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- by P. Guerzhoy
- Proc. Amer. Math. Soc.
**137**(2009), 1569-1577 - DOI: https://doi.org/10.1090/S0002-9939-08-09681-0
- Published electronically: December 11, 2008
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## Abstract:

In a recent paper Folsom and Ono constructed a grid of Poincaré series of weights $3/2$ and $1/2$. They conjectured that the coefficients of the holomorphic parts of these series are rational integers. We prove that these coefficients are indeed rational numbers with bounded denominators.## References

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## Bibliographic Information

**P. Guerzhoy**- Affiliation: Department of Mathematics, University of Hawaii, 2565 McCarthy Mall, Honolulu, Hawaii 96822-2273
- Email: pavel@math.hawaii.edu
- Received by editor(s): June 23, 2008
- Received by editor(s) in revised form: June 28, 2008
- Published electronically: December 11, 2008
- Additional Notes: The author was supported by NSF grant DMS-0700933
- Communicated by: Ken Ono
- © Copyright 2008
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc.
**137**(2009), 1569-1577 - MSC (2000): Primary 11F37
- DOI: https://doi.org/10.1090/S0002-9939-08-09681-0
- MathSciNet review: 2470814