Recent progress in additive prime number theory
... One way to approach the primes is to start with all the integers in a given range (e.g. from N/2 to N) and then sift out all the non-primes, for instance by removing the multiples of 2, then √ the multiples of 3, and so forth up to the multiples of N (the sieve of Eratosthenes). One can hope to coun ...
... One way to approach the primes is to start with all the integers in a given range (e.g. from N/2 to N) and then sift out all the non-primes, for instance by removing the multiples of 2, then √ the multiples of 3, and so forth up to the multiples of N (the sieve of Eratosthenes). One can hope to coun ...
A CELL COMPLEX IN NUMBER THEORY 1. Introduction Let M(n
... Remark 2.4. (i) Gegenbauer’s estimate of the error term was O( n). The sharper exponent cited here is due to Jia. (ii) Landau’s asymptotic formula for σk (x) was conjectured by Gauss. Note that the k = 1 case is the Prime Number Theorem. Estimates of the error term exist but will not be used in this ...
... Remark 2.4. (i) Gegenbauer’s estimate of the error term was O( n). The sharper exponent cited here is due to Jia. (ii) Landau’s asymptotic formula for σk (x) was conjectured by Gauss. Note that the k = 1 case is the Prime Number Theorem. Estimates of the error term exist but will not be used in this ...
