Exponential sums after Bombieri and Iwaniec

Huxley, M. N.

Journées arithmétiques de Luminy 17-21 Juillet 1989, Astérisque, no. 198-199-200 (1991), pp. 165-175.

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[BI1] E. Bombieri and H. Iwaniec, On the order of $\xi (1/2+\mathrm{𝑖𝑡})$, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 13 (1986), 449-472. | EuDML | Numdam | MR | Zbl

[BI2] E. Bombieri and H. Iwaniec, Some mean value theorems for exponential sums, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 13 (1986), 473-486. | EuDML | Numdam | MR | Zbl

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[GK] S. W. Graham and G. Kolesnik, Van der Corput's Method for Exponential Sums, London Math. Soc. Lecture Notes, to appear. | MR | Zbl

[HBH] D. R. Heath-Brown and M. N. Huxley, Exponential sums with a difference, Proc. London Math. Soc., (3), 61 (1990) to appear. | MR | Zbl

[H1] M. N. Huxley, Exponential sums and the Riemann zeta function, Théorie des Nombres, C.R.C.I.T.N. Laval 1987 (de Gruyter, Berlin 1989), 417-423. | MR | Zbl

[H2] M. N. Huxley, The area within a curve, Proc. Indian Acad. Sci. (Math. Sci.), 97 (1987), 111-116. | DOI | MR | Zbl

[H3] M. N. Huxley, Exponential sums and lattice points, Proc. London Math. Soc. (3), 60, 471-502. | DOI | MR | Zbl

[H4] M. N. Huxley, The fractional parts of a smooth sequence, Mathematika, 35 (1988), 292-296. | DOI | MR | Zbl

[H5] M. N. Huxley, The integer points close to a curve, Mathematika, 36 (1989), 198-215. | DOI | MR | Zbl

[H6] M. N. Huxley, Exponential sums and rounding error, J. London Math. Soc, to appear. | MR | Zbl

[H7] M. N. Huxley, Fractional parts as pseudo-random numbers, preprint 1989.

[HK] M. N. Huxley and G. Kolesnik, Exponential sums and the Riemann zeta function III, Proc. London Math. Soc, to appear. | MR | Zbl

[HW1] M. N. Huxley and N. Watt, Exponential sums and the Riemann zeta function, Coll. Math. Soc. János Bolyai, 51 (Number Theory, Budapest 1987) (North Holland 1990), 173-191. | Zbl

[HW2] M. N. Huxley and N. Watt, Exponential sums and the Riemann zeta function, Proc. London Math. Soc. (3), 57 (1988), 1-24. | DOI | MR | Zbl

[HW3] M. N. Huxley and N. Watt, Exponential sums with a parameter, Proc. London Math. Soc. (3), 59 (1989), 233-252. | DOI | MR | Zbl

[I] A. Ivić, The Riemann Zeta function, (Wiley, New-York 1985). | MR | Zbl

[IM] H. Iwaniec and C. J. Mozzochi, On the divisor and circle problems, J. Number Theory, 29 (1988), 60-93. | DOI | MR | Zbl

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[J3] M. Jutila, The fourth power moment of the Riemann zeta function over a short interval, Coll. Math. Soc. János Bolyai, 51 (Number Theory, Budapest 1987) (North Holland 1990). | MR | Zbl

[J4] M. Jutila, Mean value estimates for exponential sums, C.R. Journées Arithmétiques Ulm, 1987, to appear. | MR | Zbl

[J5] M. Jutila, On exponential sums involving the Ramanujan function, Proc. Indian Acad. Sci. (Math. Sci.), 97 (1987), 157-166. | DOI | MR | Zbl

[J6] M. Jutila, Exponential sums related to quadratic forms, Proc. Canadian Number Theory Conference Banff 1988, (de Gruyter, Berlin) to appear. | MR | Zbl

[J7] M. Jutila, Mean value estimates for exponential sums with applications to $L$-functions, Acta Arith., to appear. | EuDML | MR | Zbl

[J8] M. Jutila, Mean value estimates for exponential sums II, to appear. | DOI | MR | Zbl

[K] E. Krätzel, Lattice Points, (D.V.W., Berlin 1988). | MR | Zbl

[M1] T. Meurman, On exponential sums involving the Fourier coefficients of Maass wave forms, J. Reine Angew. Math., 384 (1988), 192-207. | EuDML | MR | Zbl

[M2] T. Meurman, On the order of the Maass $L$-functions on the critical line, to appear. | MR | Zbl

[W1] N. Watt, A problem on semicubical powers, Acta Arith., 52 (1988), 119-140. | DOI | EuDML | MR | Zbl

[W2] N. Watt, A problem on square roots of integers, to appear. | MR | Zbl

[W3] N. Watt, Exponential sums and the Riemann zeta function II, J. London Math. Soc, 39 (1989), 385-404. | DOI | MR | Zbl

[W4] N. Watt Exponential sums with a character, to appear. | Zbl

[W5] N. Watt, An elementary treatment of a general Diophantine problem, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 15, 603-614. | EuDML | Numdam | MR | Zbl