### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | - |

Numero di pagine | 10 |

Rivista | Discrete Mathematics |

Volume | 312/3 |

Stato di pubblicazione | Published - 2012 |

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### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Discrete Mathematics and Combinatorics

### Cita questo

**On the Classification of Algebraic Function Fields of Class Number Three.** / Picone, Alberto.

Risultato della ricerca: Article

*Discrete Mathematics*, vol. 312/3, pagg. -.

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TY - JOUR

T1 - On the Classification of Algebraic Function Fields of Class Number Three

AU - Picone, Alberto

PY - 2012

Y1 - 2012

N2 - Let F be an algebraic function field of one variable having a finite field Fq with q > 2 elements as its field of constants. We determine all such fields for which the class number is three. More precisely, we show that, up to Fq-isomorphism, there are only 8 of such function fields. For q = 2 the problem has been solved under the additional hypothesis that the function field is quadratic.

AB - Let F be an algebraic function field of one variable having a finite field Fq with q > 2 elements as its field of constants. We determine all such fields for which the class number is three. More precisely, we show that, up to Fq-isomorphism, there are only 8 of such function fields. For q = 2 the problem has been solved under the additional hypothesis that the function field is quadratic.

KW - Algebraic function field; Class number

UR - http://hdl.handle.net/10447/60567

UR - http://www.sciencedirect.com/science/article/pii/S0012365X11002214

M3 - Article

VL - 312/3

SP - -

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

ER -