J W Sander - On some over primes

hrj:129 - Hardy-Ramanujan Journal, January 1, 1994, Volume 17 - 1994 - https://doi.org/10.46298/hrj.1994.129
On some over primes

Authors: J W Sander

    It will be shown that, for any $\delta > 0$, \[ {\sum_{p\leq n}}^* \; \frac{\log p}{p} = \frac{1}{2} \log n + O\Big((\log n)^{\frac{5}{6}+\delta}\Big), \] where (*) restricts the summation to those primes $p$, which satisfy $n = kp+r$ for some integers $k$ and $r$, $p/2 < r < p$. This result is connected with questions concerning prime divisors of binomial coefficients.


    Volume: Volume 17 - 1994
    Published on: January 1, 1994
    Imported on: March 3, 2015
    Keywords: prime factors of binomial coefficients,[MATH] Mathematics [math]

    1 Document citing this article

    Consultation statistics

    This page has been seen 92 times.
    This article's PDF has been downloaded 108 times.