### Abstract

We prove by an elementary method the Riemann hypothesis for the local Euler factor of the zeta function of quadratic orders.

Original language | English |
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Title of host publication | ZETA FUNCTIONS, TOPOLOGY AND QUANTUM PHYSICS |

Pages | 75-80 |

Number of pages | 6 |

Volume | 14 |

Publication status | Published - 2005 |

### Publication series

Name | Developments in Mathematics |
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Volume | 14 |

ISSN (Print) | 13892177 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*ZETA FUNCTIONS, TOPOLOGY AND QUANTUM PHYSICS*(Vol. 14, pp. 75-80). (Developments in Mathematics; Vol. 14).

**On the local factor of the zeta function of quadratic orders.** / Kaneko, Masanobu.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*ZETA FUNCTIONS, TOPOLOGY AND QUANTUM PHYSICS.*vol. 14, Developments in Mathematics, vol. 14, pp. 75-80.

}

TY - CHAP

T1 - On the local factor of the zeta function of quadratic orders

AU - Kaneko, Masanobu

PY - 2005

Y1 - 2005

N2 - We prove by an elementary method the Riemann hypothesis for the local Euler factor of the zeta function of quadratic orders.

AB - We prove by an elementary method the Riemann hypothesis for the local Euler factor of the zeta function of quadratic orders.

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UR - http://www.scopus.com/inward/citedby.url?scp=84859500862&partnerID=8YFLogxK

M3 - Chapter

SN - 9780387249728

VL - 14

T3 - Developments in Mathematics

SP - 75

EP - 80

BT - ZETA FUNCTIONS, TOPOLOGY AND QUANTUM PHYSICS

ER -