2,306,956 research outputs found
Harmonic sets and the harmonic prime number theorem
We restrict primes and prime powers to sets H(x)= Uān=1 (x/2n, x/(2n-1)). Let ĪøH(x)= ā pĪµH(x)log p. Then the error in ĪøH(x) has, unconditionally, the expected order of magnitude ĪøH (x)= xlog2 + O(āx). However, if ĻH(x)= āpmĪµ H(x) log p then ĻH(x)= xlog2+ O(log x). Some reasons for and consequences of these sharp results are explored. A proof is given of the āharmonic prime number theoremā Ļ H(x)/ Ļ(x) ā log2
'He was made man' [Review] Slavoj Žižek and John Milbank: The monstrosity of Christ: paradox or dialectic?
No description supplie
- ā¦