## Proceedings of the Japan Academy, Series A, Mathematical Sciences

### Remark on the dimension of Kohnen's spaces of half integral weight with square free level

Hisashi Kojima

#### Abstract

In this note we determine explicitly the dimension of Kohnen's spaces of half integral weight with odd square free level and arbitrary character $\chi$, and show that it coincides with that of spaces of modular cusp forms of weight $2k$ with square free level and character $\chi^2$.

#### Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 78, Number 2 (2002), 18-21.

Dates
First available in Project Euclid: 23 May 2006

https://projecteuclid.org/euclid.pja/1148392763

Digital Object Identifier
doi:10.3792/pjaa.78.18

Mathematical Reviews number (MathSciNet)
MR1887108

Zentralblatt MATH identifier
1010.11024

#### Citation

Kojima, Hisashi. Remark on the dimension of Kohnen's spaces of half integral weight with square free level. Proc. Japan Acad. Ser. A Math. Sci. 78 (2002), no. 2, 18--21. doi:10.3792/pjaa.78.18. https://projecteuclid.org/euclid.pja/1148392763

#### References

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