Normal orders for certain functions associated with factorizations in number fields

Taras Banakh, Fedor Bogomolov, Andrij Gatalevych, Ihor Guran, Yurij Ishchuk, Mykola Komarnytskyi, Igor Kuz, Ivanna Melnyk, Vasyl Petrychkovych, Yaroslav Prytula, Oleh Romaniv, Oleh Skaskiv, Ludmyla Stakhiv, Georgiy Sullym, Bohdan Zabavskyi, Volodymir Zelisko, Mykhajlo Zarichnyi (2013)

Open Mathematics

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The Algebraic nature of the elementary theory of PRC fields.

Moshe Jarden (1988)

Manuscripta mathematica

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On Absolute Class Fields of Certain Algebraic Number Fields.

Taira Honda (1960)

Journal für die reine und angewandte Mathematik

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On places of algebraic function fields.

A. Prestel, F.-V. Kuhlmann (1984)

Journal für die reine und angewandte Mathematik

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Algebraic dimension over Frobenius fields.

Moshe Jarden (1994)

Forum mathematicum

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Local-global principle for Witt equivalence of function fields over global fields

Przemyslaw Koprowski (2002)

Colloquium Mathematicae

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We examine the conditions for two algebraic function fields over global fields to be Witt equivalent. We develop a criterion solving the problem which is analogous to the local-global principle for Witt equivalence of global fields obtained by R. Perlis, K. Szymiczek, P. E. Conner and R. Litherland [12]. Subsequently, we derive some immediate consequences of this result. In particular we show that Witt equivalence of algebraic function fields (that have rational places) over global fields...

"Almost every" algebraic number-field has a large class-number

V. Sprindžuk (1974)

Acta Arithmetica

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Factorization of natural numbers in algebraic number fields

A. Geroldinger (1991)

Acta Arithmetica

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