The Higher Arithmetic
Website of Peter
Braun
Site
updated: 05 July 2022
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
> Is the Lindelöf
hypothesis decidable ?
> 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)
> 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
In progress (01/07/2022)
> The Riemann hypothesis is undecidable in arithmetic (vi)
Contact: mailto:peter@peterbraun.com.au