On Hloosterman Sums with Oscillating Coefficients
Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 32-36

Voir la notice de l'article provenant de la source Cambridge University Press

An estimate for Kloosterman sums with oscillating coefficients is presented. Precisely we show: for any ε > 0 and a, b positive integers with (a, b) — 1 we have, Similar techniques may be used to estimate other Kloosterman sums with oscillating coefficients which are not smooth.
DOI : 10.4153/CMB-1988-005-1
Mots-clés : 10G10
Hajela, D.; Pollington, A.; Smith, B. On Hloosterman Sums with Oscillating Coefficients. Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 32-36. doi: 10.4153/CMB-1988-005-1
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1. Davenport, H., Multiplicative Number Theory, Springer-Verlag, 1980. Google Scholar

2. Deshouillers, J.-M., Iwaniec, H., Kloosterman Sums and Fourier Coefficients of Cusp Forms, Invent. Math. 70 (1982), pp. 219–288. Google Scholar

3. Hardy, G. H., Wright, E. M., The Theory of Numbers, Oxford Press, 1975. Google Scholar

4. Hooley, C., On the Brun-Titchmarsch Theorem, J. Reine Angew. Math. 225 (1972), pp. 60–79. Google Scholar

5. Iwaniec, H., Promenade Along Modular Forms and Analytic Number Theory, Preprint. Google Scholar

6. Vaughan, R. C., An Elementary Method in Prime Number Theory, Acta Arith. 37 (1980), pp. 111–115. Google Scholar

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