Trigonometric sums over primes III
Journal de théorie des nombres de Bordeaux, Tome 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).

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     author = {Glyn Harman},
     title = {Trigonometric sums over primes {III}},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {727--740},
     year = {2003},
     publisher = {Universit\'e Bordeaux I},
     volume = {15},
     number = {3},
     doi = {10.5802/jtnb.423},
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     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.423/}
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Glyn Harman. Trigonometric sums over primes III. Journal de théorie des nombres de Bordeaux, Tome 15 (2003) no. 3, pp. 727-740. doi: 10.5802/jtnb.423

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