On a Problem of Mordell with Primitive Roots

Details On a Problem of Mordell with Primitive Roots On a Problem of Mordell with Primitive Roots

2009-11-15

arxiv.org/abs/0911.2832v2

Mathematics

Number Theory

7 pages, added detailed proof of Lemma 2

Scientific paper

We consider the sums of the form $$ S=\sum_{x=1}^{N} \exp\big((ax+b_1g_1^x+... +b_rg_r^x)/p \big) $$, where $p$ is prime and $g_1,..., g_r$ are primitive roots $\pmod p$. An almost forty years old problem of L. J. Mordell asks to find a nontrivial estimate of $S$ when at least two of the coefficients $b_1,...,b_r$ are not divizible by $p$. Here we obtain a nontrivial bound of the average of these sums when $g_1$ runs over all primitive roots $\pmod p$.

Affiliated with

Also associated with

No associations

Rating

On a Problem of Mordell with Primitive Roots does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a Problem of Mordell with Primitive Roots, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a Problem of Mordell with Primitive Roots will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-323600