# Mathematician:Robert Daniel Carmichael

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## Contents

## Mathematician

American mathematician who contributed mainly to the fields of differential equations and number theory.

## Nationality

American

## History

- Born: 1 March 1879, Goodwater, Coosa County, Alabama, USA
- Died: 2 May 1967, Merriam, Northeast Johnson County, Kansas, USA

## Theorems and Definitions

- Carmichael Numbers
- Carmichael's Theorem
- Carmichael Function
- Lucas-Carmichael Number (with Édouard Lucas)

Results named for **Robert Daniel Carmichael** can be found here.

Definitions of concepts named for **Robert Daniel Carmichael** can be found here.

## Publications

- 1905:
*Six Propositions on Prime Numbers*

- 1906:
*Note on multiply perfect numbers*

- 1906:
*Multiply perfect numbers of three different primes*

- 1906:
*Multiply Perfect Odd Numbers with Three Prime Factors*

- 1906:
*On the n-Section of an Angle*

- 1906:
*Note on the Maximum Indicator of Certain Odd Numbers*

- 1910:
*Note on a New Number Theory Function*(*Bull. Amer. Math. Soc.***Vol. 16**: pp. 232 – 238)

- 1911:
*Linear Difference Equations and their Analytic Solutions Linear Difference Equations and their Analytic Solutions*(PhD thesis)

- 1912:
*On the Theory of Relativity: Analysis of the Postulates*

- 1913:
*On the Theory of Relativity: Philosophical Aspects*

- 1913:
*The Theory of Relativity*

- 1913:
*On the numerical factors of the arithmetic forms $\alpha^n + \beta^n$*(*Ann. Math.***Vol. 15**,*no. 1/4*: pp. 30 – 70) www.jstor.org/stable/1967797

- 1914:
*The Theory of Numbers*

- 1915:
*Diophantine Analysis*

- 1920:
*The Theory of Relativity*(2nd edition)

- 1927:
*A Debate on the Theory of Relativity*

- 1927:
*The Calculus*(with James H. Weaver)

- 1930:
*The Logic of Discovery*

- 1930:
*Plane and Spherical Trigonometry*(with Edwin R. Smith)

- 1931:
*Mathematical Tables and Formulas*(with Edwin R. Smith)

- 1937:
*The Calculus*(revised edition) (with James H. Weaver and Lincoln La Paz)

- 1937:
*Introduction to the Theory of Groups of Finite Order*