Skip to main content

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

  • 2042 Accesses

Abstract

Gauss introduced a remarkable notation which simplifies many problems concerning divisibility of integers. In so doing he created a new branch of number theory called the theory of congruences, the foundations of which are discussed in this chapter.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer Science+Business Media New York

About this chapter

Cite this chapter

Apostol, T.M. (1976). Congruences. In: Introduction to Analytic Number Theory. Undergraduate Texts in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-28579-4_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-28579-4_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-90163-1

  • Online ISBN: 978-3-662-28579-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics