Number Theory in Islamic Mathematics

  • Jacques Sesiano
Reference work entry
DOI: https://doi.org/10.1007/978-1-4020-4425-0_9279

Islamic number theory is characterized by two main developments, both of which stemmed from Greek knowledge. One of them is the relation between natural numbers and the sum of their proper divisors, the other the field of quadratic indeterminate equations.

Numbers and Their Sums of Divisors

If N is a natural number, σ(N  ) the sum of its divisors, and s(N  ) the sum of the divisors without N itself, then Open image in new window

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Copyright information

© Springer-Verlag Berlin Heidelberg New York 2008

Authors and Affiliations

  • Jacques Sesiano

There are no affiliations available