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Additional
divisor function
English Wikipedia - The Free Encyclopedia
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Divisor function
In
mathematics
, and specifically in
number theory
, a
divisor function
is an
arithmetic function
related to the
divisors
of an
integer
. When referred to as
the
divisor function, it counts the
number of divisors of an integer
. It appears in a number of remarkable identities, including relationships on the
Riemann zeta function
and the
Eisenstein series
of
modular forms
. Divisor functions were studied by
Ramanujan
, who gave a number of important
congruences
and
identities
; these are treated separately in the article
Ramanujan's sum
.
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