Corpus ID: 115181172

On a Problem of Mordell with Primitive Roots

@inproceedings{Cobeli2009OnAP,
title={On a Problem of Mordell with Primitive Roots},
author={Cristian Cobeli},
year={2009}
}
• Cristian Cobeli
• Published 2009
• Mathematics
• 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 $\pmod p$.

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Squarefree Totients p-1 And Primitive Roots

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