Mathematician:Ernst Eduard Kummer

Mathematician

German mathematician mostly active in the field of applied mathematics.

Also worked in abstract algebra and field theory.

Proved that Fermat's Last Theorem holds for all exponents $p$ such that $p$ is a regular prime.

Related by marriage to Dirichlet.

Nationality

German

History

• Born: 29 Jan 1810, Sorau, Brandenburg, Prussia (now Germany)
• Died: 14 May 1893, Berlin, Germany

Theorems and Definitions

• Kummer's Confluent Hypergeometric Function
• Kummer Extension
• Kummer's Function
• Kummer Ring
• Kummer Series
• Kummer Surface
• Kummer Theory

• Kummer's Equation
• Kummer's Hypergeometric Theorem
• Kummer's Quadratic Transformation
• Kummer Sum
• Kummer's Theorem

Results named for Ernst Eduard Kummer can be found here.

Definitions of concepts named for Ernst Eduard Kummer can be found here.

Publications

• 1852: Über die Ergänzungssätze zu den allgemeinen Reciprocitätsgesetzen (J. reine angew. Math. Vol. 44: pp. 93 – 146) (in which Kummer's Theorem is presented)

Sources

• John J. O'Connor and Edmund F. Robertson: "Ernst Eduard Kummer": MacTutor History of Mathematics archive

• 1937: Eric Temple Bell: Men of Mathematics: Chapter $\text{XXVII}$
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Kummer, Ernst Eduard (1810-93)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Kummer, Ernst Eduard (1810-93)