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