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More about Mathematica ยป |
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For more than 20 years, Mathematica has been steadily expanding the domain of numeric and symbolic computational number theory, taking theoretical constructs, and implementing them in a convenient and consistent computational form. Mathematica 7 introduces a broad range of new capabilities of importance across analytic, multiplicative and additive number theory.
- Explicit computation and symbolic manipulation of Dirichlet characters and Dirichlet L-functions. »
- General symbolic representation of sums over divisors. »
- Dirichlet transform and convolution. »
- Greatly extended evaluation of number theoretic sums and products.
- Comprehensive support for q-functions and q-series. »
(n), 
(n), Mangoldt lambda, Liouville lambda and other functions in arithmetic number theory. »- Prime zeta function and Riemann prime counting function. »
- Systematic computation with holonomic sequences.
- Support for ordinary and exponential generating functions. »
- Extensive support for integer sequence recognition. »
- New discrete sequence visualization function. »
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PrimeOmega 
PrimeNu MangoldtLambda LiouvilleLambda DirichletCharacter DirichletL PrimeZeta RiemannR QPochhammer QGamma QBinomial QHypergeometricPFQ DirichletConvolve DirichletTransform DivisorSum Sum Product FindSequenceFunction FindGeneratingFunction FindLinearRecurrence DifferenceRoot DifferenceRootReduce
PrimeNu MangoldtLambda LiouvilleLambda DirichletCharacter DirichletL PrimeZeta RiemannR QPochhammer QGamma QBinomial QHypergeometricPFQ DirichletConvolve DirichletTransform DivisorSum Sum Product FindSequenceFunction FindGeneratingFunction FindLinearRecurrence DifferenceRoot DifferenceRootReduce
