Forms of Fermat equations and their zeta functions / Lars Brunjes.

Format:

Book

Author/Creator:

Brünjes, Lars.

Language:

English

Subjects (All):

Functions, Zeta.

Fermat numbers.

Physical Description:

1 online resource (246 p.)

Edition:

1st ed.

Place of Publication:

New Jersey : World Scientific, c2004.

Language Note:

English

Summary:

In this volume, an abstract theory of "forms" is developed, thus providing a conceptually satisfying framework for the classification of forms of Fermat equations. The classical results on diagonal forms are extended to the broader class of all forms of Fermat varieties.

Contents:

Preface; Contents; 1 - Introduction; 2 - The zeta function; 3 - Galois descent; 4 - Nonabelian cohomology; 5 - Weil cohomology theories and l-adic cohomology; 6 - Classification of forms; 7 - Forms of the Fermat equation I; 8 - Binary cubic equations; 9 - Forms of the Fermat equation II; 10 - Representations of semidirect products; 11 - The l-adic cohomology of Fermat varieties; 12 - The zeta function of forms of Fermat equations; Appendix A; Appendix B; Bibliography; Index

Notes:

Description based upon print version of record.

Description based on publisher supplied metadata and other sources.

Includes bibliographical references and index.

ISBN:

9786611872090

9781281872098

1281872091

9789812561800

9812561803

OCLC:

57478650