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RamanujanTau

RamanujanTau[n]
gives the Ramanujan function .
MORE INFORMATION
  • Integer mathematical function.
  • gives the coefficient of in the series expansion of .
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Basic Examples   (1)
The first 10 values of RamanujanTau:
The first 10 values of RamanujanTau:
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Scope   (4)
Evaluate RamanujanTau for large arguments:
RamanujanTau threads over lists:
RamanujanTau is zero for all non-positive integers:
Traditional form:
Applications   (6)
Logarithmic plot of RamanujanTau:
The first prime value of RamanujanTau:
The first 20,000 values are nonzero, satisfying Lehmer's conjecture []:
Plot of at primes :
The modular discriminant:
Relation with DedekindEta:
The summatory -function []:
Properties & Relations   (6)
The first 10 values of RamanujanTau using Product:
RamanujanTau is multiplicative for coprime integers:
For prime :
Congruence relations:
Representation of an integer as the sum of 24 squares:
RamanujanTauL is the Dirichlet -function associated with RamanujanTau:
Possible Issues   (1)
Large prime numbers can take a long time:
Neat Examples   (3)
Successive differences of RamanujanTau modulo 3:
A representation of zero in terms of RamanujanTau:
Find digit counts for:
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