Trigonometric sums over primes III
Journal de théorie des nombres de Bordeaux, Volume 15 (2003) no. 3, pp. 727-740

New bounds are given for the exponential sum

∑ P≤p<2P e(αp k )
were k≥5,p denotes a prime and e(x)=exp(2πix).

On donne une majoration nouvelle de la somme trigonométrique

∑ P≤p<2P e(αp k )
où k≥5,p désigne un nombre premier et e(x)=exp(2πix).

Glyn Harman. Trigonometric sums over primes III. Journal de théorie des nombres de Bordeaux, Volume 15 (2003) no. 3, pp. 727-740. doi: 10.5802/jtnb.423
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