The Higher Arithmetic

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Site updated: 7 July 2020 

Contact : mailto:peter@peterbraun.com.au

Draft notes

 > The Riemann hypothesis is undecidable in arithmetic (v)
> The Riemann hypothesis is undecidable in arithmetic (iv)
 > The Riemann hypothesis is undecidable in arithmetic (iii)
> The Riemann hypothesis is undecidable in arithmetic (ii)
                             > The Riemann hypothesis is undecidable in arithmetic (i)
>  Off-line zeros of the Riemann zeta function
> Algebra  of numbers forms (iii)  
                             > A short explanation of the Riemann hypothesis 
> Another irrational sums argument for the Riemann hypothesis  
> Lindelöf hypothesis revisited
> Euler's constant and the Riemann hypothesis
                             > Π2sin(πa/n) = n and Π2sin(πa/2n) = √n    (a<n)
> Seven steps to the Riemann hypothesis
> The Liouville function on Farey fractions and the Riemann hypothesis
> Algebra of number forms (ii)
> Dirichlet's theorem for square free numbers
> Approaches to the  σ = 1/2  phenomenon in multiplicative number theory (i)
> Approaches to the  σ = 1/2  phenomenon in multiplicative number theory (ii)
> Algebra of number forms(i)
> A special class of number theoretic functions
> Naive sieve theory
> Oscillatory behaviour of the Möbius function
> An elementary approach to the Riemann hypothesis
> A further note on the Riemann hypothesis (ii)
> A further note on the Riemann hypothesis (i)
> A note on the Riemann hypothesis (ii)
> A note on the Riemann hypothesis (i)
> Riemann hypothesis (preliminary comment)
> Is the Lindelöf hypothesis decidable?
> Thesis notes (comments)
>Thesis notes (sections 1-3)
>A note on Goldbach's conjecture
>Twin prime problem (preliminary comment)
>Twin primes and a natural generalisation

New (23/05/2020) (Title change 5 July 2020)

                         > The Riemann hypothesis is undecidable in arithmetic (v)

Contact: mailto:peter@peterbraun.com.au