On class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields

A survey of results toward the class number problem for real quadratic fields

Nevin, Joshua Borwein

May 2015

The class number problem is one of the central open problems of algebraic number theory. It has long...

Definite quadratische formen der dimension 24 und diskriminante 1

Niemeier, Hans-Volker

April 1973

AbstractIt is shown that the class number of definite even quadratic forms of dimension 24 and discr...

Imaginary quadratic fields with class number 1

Bínovský, Ondrej

January 2021

We give an exposition of Heegner's and Siegel's proofs that there are exactly 9 imaginary quadratic ...

On class numbers of positive definite binary and ternary unimodular Hermitian forms. Pt.2

Hashimoto, K
Koseki, H.
Goettingen Univ. (Germany). Sonderforschungsbereich 170 - Geometrie und Analysis
Deutsche Forschungsgemeinschaft (DFG), Bonn (Germany)

January 1987

SIGLETIB: RO 2556 (1987,22) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...

On class numbers of positive definite binary and ternary unimodular Hermitian forms. Pt.1

Hashimoto, K
Koseki, H.
Goettingen Univ. (Germany). Sonderforschungsbereich 170 - Geometrie und Analysis
Deutsche Forschungsgemeinschaft (DFG), Bonn (Germany)

January 1987

SIGLETIB: RO 2556 (1987,21) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...

On the genera and the class number of unimodular lattices over the ring of integers in real quadratic fields

Takada, Ichiro

November 1990

AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...

On the Construction of Indecomposable Positive Definite Hermitian Forms over Imaginary Quadratic Fields

Zhu, Fu-Zu

February 1997

AbstractLetDmbe the ring of integers of an imgainary quadratic fieldQ(−m)withm≡3 (mod4). Then there ...

On the Construction of Positive Definite Indecomposable Unimodular Even Hermitian Forms

Zhu, F.Z.

February 1995

AbstractLet Q([formula]) (m > 0 and square free) be an imaginary quadratic field and Dm its ring of ...

Class Numbers of Ray Class Fields of Imaginary Quadratic

Omer Kucuksakalli
Quadratic Fields
Robert Moll Member
George Avrunin
Department Head

September 2016

This Open Access Dissertation is brought to you for free and open access by the Dissertations and Th...

On the 2-part of the class number of imaginary quadratic number fields

Pizer, Arnold

May 1976

AbstractWe employ a type number formula from the theory of quaternion algebras to gain information o...

The number of imaginary quadratic fields with a given class number

Soundararajan, K

January 2007

International audienceThis paper formulates some conjectures for the number of imaginary quadratic f...

On the class number formula of certain real quadratic fields

Chakraborty, K
Kanemitsu, S
Kuzumaki, T

January 2013

International audienceIn this note we give an alternate expression of class number formula for real ...

The ideal class group of quadratic fields

April 2023

The ideal class group problem is one of the very interesting problems in algebraic number theory. In...

On Class Numbers of Real Quadratic Fields with Certain Fundamental Discriminants

CARUS, AYDIN
Pekin, Ayten

January 2015

Let N denote the sets of positive integers and D is an element of N be square free, and let chi(D), ...

On class groups of imaginary quadratic fields

Wiles, A

January 2015

In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...

A survey of results toward the class number problem for real quadratic fields

Nevin, Joshua Borwein

May 2015

The class number problem is one of the central open problems of algebraic number theory. It has long...

Definite quadratische formen der dimension 24 und diskriminante 1

Niemeier, Hans-Volker

April 1973

AbstractIt is shown that the class number of definite even quadratic forms of dimension 24 and discr...

Imaginary quadratic fields with class number 1

Bínovský, Ondrej

January 2021

We give an exposition of Heegner's and Siegel's proofs that there are exactly 9 imaginary quadratic ...

On class numbers of positive definite binary and ternary unimodular Hermitian forms. Pt.2

Hashimoto, K
Koseki, H.
Goettingen Univ. (Germany). Sonderforschungsbereich 170 - Geometrie und Analysis
Deutsche Forschungsgemeinschaft (DFG), Bonn (Germany)

January 1987

SIGLETIB: RO 2556 (1987,22) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...

On class numbers of positive definite binary and ternary unimodular Hermitian forms. Pt.1

Hashimoto, K
Koseki, H.
Goettingen Univ. (Germany). Sonderforschungsbereich 170 - Geometrie und Analysis
Deutsche Forschungsgemeinschaft (DFG), Bonn (Germany)

January 1987

SIGLETIB: RO 2556 (1987,21) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...

On the genera and the class number of unimodular lattices over the ring of integers in real quadratic fields

Takada, Ichiro

November 1990

AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...

On the Construction of Indecomposable Positive Definite Hermitian Forms over Imaginary Quadratic Fields

Zhu, Fu-Zu

February 1997

AbstractLetDmbe the ring of integers of an imgainary quadratic fieldQ(−m)withm≡3 (mod4). Then there ...

On the Construction of Positive Definite Indecomposable Unimodular Even Hermitian Forms

Zhu, F.Z.

February 1995

AbstractLet Q([formula]) (m > 0 and square free) be an imaginary quadratic field and Dm its ring of ...

Class Numbers of Ray Class Fields of Imaginary Quadratic

Omer Kucuksakalli
Quadratic Fields
Robert Moll Member
George Avrunin
Department Head

September 2016

This Open Access Dissertation is brought to you for free and open access by the Dissertations and Th...

On the 2-part of the class number of imaginary quadratic number fields

Pizer, Arnold

May 1976

AbstractWe employ a type number formula from the theory of quaternion algebras to gain information o...

The number of imaginary quadratic fields with a given class number

Soundararajan, K

January 2007

International audienceThis paper formulates some conjectures for the number of imaginary quadratic f...

On the class number formula of certain real quadratic fields

Chakraborty, K
Kanemitsu, S
Kuzumaki, T

January 2013

International audienceIn this note we give an alternate expression of class number formula for real ...

The ideal class group of quadratic fields

April 2023

The ideal class group problem is one of the very interesting problems in algebraic number theory. In...

On Class Numbers of Real Quadratic Fields with Certain Fundamental Discriminants

CARUS, AYDIN
Pekin, Ayten

January 2015

Let N denote the sets of positive integers and D is an element of N be square free, and let chi(D), ...

On class groups of imaginary quadratic fields

Wiles, A

January 2015

In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...

A survey of results toward the class number problem for real quadratic fields

Nevin, Joshua Borwein

May 2015

The class number problem is one of the central open problems of algebraic number theory. It has long...

Definite quadratische formen der dimension 24 und diskriminante 1

Niemeier, Hans-Volker

April 1973

AbstractIt is shown that the class number of definite even quadratic forms of dimension 24 and discr...

Imaginary quadratic fields with class number 1

Bínovský, Ondrej

January 2021

We give an exposition of Heegner's and Siegel's proofs that there are exactly 9 imaginary quadratic ...

On class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields

Abstract

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On class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields

Abstract

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