### Abstract

We study the Fourier coefficients of cusp forms of half integral weight and generalize the Kohnen-Zagier formula to the case of '4 x general odd' level by using results of Ueda. As an application, we obtain a generalization of the result of Luo-Ramakrishnan [11] to the case of arbitrary odd level.

Original language | English |
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Pages (from-to) | 63-85 |

Number of pages | 23 |

Journal | Nagoya Mathematical Journal |

Volume | 190 |

Publication status | Published - 2008 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**On the Kohnen-Zagier formula in the case of '4 x general odd' level.** / Sakata, Hiroshi.

Research output: Contribution to journal › Article

*Nagoya Mathematical Journal*, vol. 190, pp. 63-85.

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TY - JOUR

T1 - On the Kohnen-Zagier formula in the case of '4 x general odd' level

AU - Sakata, Hiroshi

PY - 2008

Y1 - 2008

N2 - We study the Fourier coefficients of cusp forms of half integral weight and generalize the Kohnen-Zagier formula to the case of '4 x general odd' level by using results of Ueda. As an application, we obtain a generalization of the result of Luo-Ramakrishnan [11] to the case of arbitrary odd level.

AB - We study the Fourier coefficients of cusp forms of half integral weight and generalize the Kohnen-Zagier formula to the case of '4 x general odd' level by using results of Ueda. As an application, we obtain a generalization of the result of Luo-Ramakrishnan [11] to the case of arbitrary odd level.

UR - http://www.scopus.com/inward/record.url?scp=45849133698&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45849133698&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:45849133698

VL - 190

SP - 63

EP - 85

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

SN - 0027-7630

ER -