The
Higher Arithmetic
Website
of Peter
Braun
Site
updated: 13 February 2026
Contact :
mailto:peter@peterbraun.com.au
Draft notes
> The Riemann hypothesis is
undecidable in arithmetic (vi)
> 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
> Is the Lindelöf
hypothesis decidable ?
> Euler's constant and the Riemann
hypothesis
>
?2sin(pa/n) = n and
?2sin(pa/2n) = vn (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 s = 1/2 phenomenon in multiplicative number theory (i)
> Approaches to the
s = 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)
> 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
Now available
> The Riemann hypothesis is undecidable in arithmetic (vi)
Contact: mailto:peter@peterbraun.com.au