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Displaying 61 – 80 of 172

Investigating generalized quaternions with dual-generalized complex numbers

Nurten Gürses, Gülsüm Yeliz Şentürk, Salim Yüce (2023)

Mathematica Bohemica

We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values $α$ , $β$ and $𝔭$ . Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized quaternions and dual-generalized complex numbers. Finally, based on their matrix representations, the multiplication of these quaternions is restated and numerical examples are given.

K2-analogs of Hasse's norm theorems.

Anthony Bak, Ulf Rehmann (1984)

Commentarii mathematici Helvetici

Le théorème de Schanuel pour un corps non commutatif

Gaël Rémond, Christine Zehrt-Liebendörfer (2013)

Rendiconti del Seminario Matematico della Università di Padova

Le théorème d'Eichler sur le nombre de classes d'idéaux d'un corps de quaternions totalement défini et la mesure de Tamagawa

Marie-France Guého (1974)

Mémoires de la Société Mathématique de France

L-functions of arithmetic orders and asymptotic distribution of ideals.

Irving Reiner, Colin J. Bushnell (1981)

Journal für die reine und angewandte Mathematik

L'indice de l'idéal de Stickelberger ...-adique.

Kobayashi, Shinju (1982)

Mathematische Zeitschrift

Metaplektische Erweiterungen von Quaternionenschiefkörpern.

Joachim Klose (1986)

Mathematische Zeitschrift

Mittelwert der Eulerschen ...-Funktion und des Quadrates der Dirichletschen Teilerfunktion in algebraischen Zahlkörpern.

Wolfgang Grotz (1979)

Monatshefte für Mathematik

Modules sur l'algèbre du groupe quaternionien

Jacques Martinet (1971)

Annales scientifiques de l'École Normale Supérieure

New asymptotic formulas for the distribution of left ideals of orders.

Irving Reiner, Colin J. Bushnell (1986)

Journal für die reine und angewandte Mathematik

New formulas for the class number of imaginary quadratic fields

Martin Eichler (1987)

Acta Arithmetica

Nombre de classes d’idéaux d’une algèbre de quaternions totalement définie sur $𝐐$

Marie-France Guého (1969/1970)

Séminaire de théorie des nombres de Bordeaux

On a certain subideal of the Stickelberger ideal of a cyclotomic field

Radan Kučera (1986)

Archivum Mathematicum

On Artin L-Functions Associated to Hilbert Modular Forms of Weight One.

J.B. Tunnell, J.D. Rogawski (1983)

Inventiones mathematicae

On automorphisms of quaternion orders.

J. Brzezinski (1990)

Journal für die reine und angewandte Mathematik

On certain ideals of the group ring $𝐙 [G]$

Ladislav Skula (1979)

Archivum Mathematicum

On discriminants and indices of integers of an algebraic number field.

K. Györy (1981)

Journal für die reine und angewandte Mathematik

On embedding numbers into quaternion orders.

J. Brzezinski (1991)

Commentarii mathematici Helvetici

On octahedral extensions of $ℚ$ and quadratic $ℚ$ -curves

Julio Fernández (2003)

Journal de théorie des nombres de Bordeaux

We give a necessary condition for a surjective representation Gal $(\bar{ℚ} / ℚ) \to {PGL}_{2} (𝔽_{3})$ to arise from the $3$ -torsion of a $ℚ$ -curve. We pay a special attention to the case of quadratic $ℚ$ -curves.

On singular moduli.

B.H. Gross, Don B. Zagier (1984)

Journal für die reine und angewandte Mathematik

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