GRHpack Home Page
These are instructions for obtaining the software GRHpack.m, a small Mathematica package of functions which goes with "Equivalents of the Riemann hypothesis: Volume Two, Analytic Equivalents", by Kevin A. Broughan published by Cambridge University Press. There are more details concerning the package, its installation and functions in the "GRHpack mini-manual", which is included in the book as Appendix L, page 463.
To use the software having Mathematica version 10.0 or later is recommended. Since the software is in the form of a standard mathematica package, it should run under any operating system (Windows, MacOS, or Unix/Linux).
Requests for assistance and advice are welcome, as are bug reports and suggestions for new software. If you find GRHpack useful please let me know, and give references for any published work which references the software. The email address is given below.
CharacterConductor, CharacterOrder, CharacterTimes, CharacterValue, ChiNM, ChiNN, ComputeHeight, CountSmoothIntegers, CyclotomicProduct, DickmanRho, DirichletCharacterQ, DirichletCharacters, DirichletCoefficientProduct, DirichletCoefficients, DirichletInverse, DirichletProduct, DiscreteMeasure, EllipticCount, EvenCharacterQ, EvenFundamentalCharacter, ExplicitBombieriVinogradov, ExplicitGallagher, FormBound, FundamentalCharacterQ, FundamentalDiscriminant, FundamentalDiscriminants, GaussCharacterSum, InducedCharacter, InducedCharacters, InducedModulusQ, OddCharacterQ, OddFundamentalCharacter, PlotRealDirichletL, PrimitiveCharacterQ, PrimitiveCharacters, PrincipalCharacter, PrincipalCharacterQ, ProbPosDefQ, QuadraticCharacterQ, RealCharacterQ, RealCharacters, Riesz, RootNumber, SmallestEigenvalue, SmoothIntegerQ, TitchmarshRemainder, WeilStepFunction.
Last modified: 19th February 2021.