# The major arcs approximation of an exponential sum over primes

Acta Arithmetica (2000)

- Volume: 92, Issue: 2, page 169-179
- ISSN: 0065-1036

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top## How to cite

topD. A. Goldston. "The major arcs approximation of an exponential sum over primes." Acta Arithmetica 92.2 (2000): 169-179. <http://eudml.org/doc/207378>.

@article{D2000,

author = {D. A. Goldston},

journal = {Acta Arithmetica},

keywords = {exponential sums; primes; -norm; upper bounds; lower bounds; major arcs; minor arcs},

language = {eng},

number = {2},

pages = {169-179},

title = {The major arcs approximation of an exponential sum over primes},

url = {http://eudml.org/doc/207378},

volume = {92},

year = {2000},

}

TY - JOUR

AU - D. A. Goldston

TI - The major arcs approximation of an exponential sum over primes

JO - Acta Arithmetica

PY - 2000

VL - 92

IS - 2

SP - 169

EP - 179

LA - eng

KW - exponential sums; primes; -norm; upper bounds; lower bounds; major arcs; minor arcs

UR - http://eudml.org/doc/207378

ER -

## References

top- [1] G. H. Hardy and J. E. Littlewood, Note on Messrs. Shah and Wilson's paper entitled: 'On an empirical formula connected with Goldbach's theorem', Proc. Cambridge Philos. Soc. 19 (1919), 245-254. Zbl47.0885.05
- [2] G. H. Hardy and J. E. Littlewood, Some problems of 'Partitio Numerorum': III. On the expression of a number as a sum of primes, Acta Math. 44 (1923), 1-70. Zbl48.0143.04
- [3] R. C. Vaughan, The L¹ mean of exponential sums over primes, Bull. London Math. Soc. 20 (1988), 121-123. Zbl0639.10025
- [4] D. R. Ward, Some series involving Euler's function, J. London Math. Soc. 2 (1927), 210-214. Zbl53.0164.01

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