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...at least often forgotten about, way of expressing formulas for arithmetic functions and their [[summatory function]]s is to perform an integral transform that ...notation for coefficient extraction usually applied to formal [[generating functions]] in some complex variable, by denoting <math>[n^{-s}] D_f(s) =: f(n)</math ...

...], the '''Dirichlet convolution''' is a [[binary operation]] defined for [[arithmetic function]]s; it is important in [[number theory]]. It was developed by [[Pe ...er]]s, the ''Dirichlet [[convolution]]'' {{nowrap|''f'' ∗ ''g''}} is a new arithmetic function defined by: ...

...written with too many significant figures can be taken to imply a higher [[Arithmetic precision|precision]] than is known, and a result that is written with too ...nd hence the uncertainty of the result. For an alternatives see [[interval arithmetic]] and [[floating point error mitigation]]. ...

...ematics|generating functions (main article)|generating function|generating functions in classical mechanics|Generating function (physics)|generating function tr ...sformations]]) or weighted sums over the higher-order derivatives of these functions (see [[Generating function transformation#Derivative transformations|deriva ...

...integer]] or doing [[fixed-point arithmetic]]; when computing mathematical functions such as [[square root]]s, [[logarithm]]s, and [[sine]]s; or when using a [[ Accurate rounding of [[transcendental function|transcendental mathematical functions]] is difficult, because the number of extra digits that need to be calculat ...

== Functions, symbols, special characters == === Standard numerical functions === ...

...ries]] was discovered in Indian mathematics.<ref>{{Cite book|title=Special Functions|last=George E. Andrews, Richard Askey|first=Ranjan Roy|publisher=[[Cambridg ...umbers at which {{MATH|exp(''z'')}} is equal to one is then an (imaginary) arithmetic progression of the form: ...