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Publications

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2005
Hall R.  2005.  The parity of Farey denominators and the Farey index. Journal of Number Theory. 115:71-86.
2004
Hall R.  2004.  Large spaces between the zeros of the Riemann zeta-function and random matrix theory. Journal of Number Theory. 109:240-265. Abstract
Hall R.  2004.  Large spaces between the zeros of the Riemann zeta-function and random matrix theory. Journal of Number Theory. 109:240-265. Abstract
2003
Hall R.  2003.  On the extreme values of the Riemann zeta function between its zeros on the critical line. J Reine Angew. Math.. 560:29-41. Abstract
2002
Hall R, Shiu P.  2002.  The distribution of totatives. Canadian Math Bull. 45 1:109-114.
Hall R.  2002.  Generalized Wirtinger inequalities, random matrix theory, and the zeros of the Riemann zeta-function. Journal of Number Theory. 97:397-409.
Hall R.  2002.  A Wirtinger type inequality and the spacing of the zeros of the Riemann zeta-function. Journal of Number Theory. 93:235-245.
2000
Hall R, Hayman WK.  2000.  Hyperbolic distance and distinct zeros of the Riemann zeta-function in small regions. J reine angew Math. 526:35-59.
1999
Hall R.  1999.  The behaviour of the Riemann zeta-function on the critical line. Mathematika. 46(2):281-313.
Hall R.  1999.  The behaviour of the Riemann zeta-function on the critical line. Mathematika. 46:281-313.
Erdos P, Hall R.  1999.  On the angular distribution of Gaussian integers with fixed norm. Discrete Mathematics. 200:87-94.
Hall R.  1999.  On the zeros of the Riemann zeta-function. J. London Math. Soc.(2). 59:65-75.
1998
Hall R.  1998.  The Gaussian curvature of minimal surfaces and Heinz' constant. J.reine angew.Math. 502:19-28.
Hall R.  1998.  Linear Diophantine equations and Franel integrals. J.reine angew.Math. 496:93-105.
1997
Hall R.  1997.  Sieve Methods, Exponential Sums, and their Applications in Number Theory. Book.
1996
Hall R.  1996.  Franel integrals. Sieve methods, exponential sums and their applications in number theory. :143-160.
Hall R, Wilson JC, Zagier D.  1996.  Linear relations for Dedekind-Rademacher sums. Acta Arith.,. 73:389-396.
Hall R.  1996.  Proof of a conjecture of Heath-Brown concerning quadratic residues. Proc Edinburgh Math Soc. 39(3):581-588.
Hall R.  1996.  Sets of Multiples. Cambridge Tracts in Mathematics No 118. Cambridge Tracts in Mathematics. 118:book.
1995
Hall R, Huxley MN, Wilson JC.  1995.  A three variable identity connected with Dedekind sums. Periodica Math Hungarica. 30(3):189-203.
Hall R, Wilson JC.  1995.  Reciprocity formulae for general Dedekind-Rademacher sums. Acta Arithmetica. 73(4):389-396.
Hall R.  1995.  Sets of multiples. Cambridge Tracts in Mathematics. Camb Uni Press. XXX
Hall R.  1995.  A sharp inequality of Halasz type for the mean value of a multiplicative arithmetic function. Mathematika. 42:144-157.
Hall R, Huxley MN, Wilson JC.  1995.  A three variable identity connected with Dedekind sums. Periodica Math. Hungarica. 30(3):189-203.
1994
Erdos P, Hall R, Tenenbaum G.  1994.  On the densities of sets of multiples. J reine angew Math. 454:119-141.

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