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Publications

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Hajicek P, Kay BS, Kuchar KV.  1992.  Quantum Collapse of a Self-Gravitating Shell: Equivalence to Coulomb Scattering. Phys Rev D. 46:5439-5448.
Hall R, Wilson JC.  1995.  Reciprocity formulae for general Dedekind-Rademacher sums. Acta Arithmetica. 73(4):389-396.
Hall R.  1990.  Large irregularities in sets of Multiples and Sieves. Mathematika. :119-135.
Hall R, Shiu P.  2002.  The distribution of totatives. Canadian Math Bull. 45 1:109-114.
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, Huxley MN.  1993.  Dedekind sums and continued fractions. Acta Arithmetica LXIII Tome. 1:79-90.
Hall R.  1995.  A sharp inequality of Halasz type for the mean value of a multiplicative arithmetic function. Mathematika. 42:144-157.
Hall R, Hayman WK.  1994.  Integrals of analytic functions along two curves. Classical and Modern Potenti. :253-265.
Hall W.  2006.  Constructions of indecomposable positive maps based on a new criterion for indecomposability. Journal of Physics A.
Hall R.  1996.  Franel integrals. Sieve methods, exponential sums and their applications in number theory. :143-160.
Hall W.  2005.  Multipartite reduction criteria for separability. Physical Review A. 72:022311.
Hall R.  1992.  On some conjecture of Erdos in Asterisque 1. J Number Theory. 42:313-319.
Hall R.  1999.  On the zeros of the Riemann zeta-function. J. London Math. Soc.(2). 59:65-75.
Hall R, Wilson JC.  1993.  On reciprocity formulae for inhomogeneous and homogeneous Dedekind sums.. Math. Proc. Cambridge Philos. Soc. 114:9-24.
Hall R.  1990.  Uniform upper bounds for the complex divisor function. Math Proc Camb Phil Soc. 108:421-427.
Hall R, Hayman WK.  1993.  A problem in the theory of subordination. J Analyse Math. 50:99-111.
Hall R.  2005.  The parity of Farey denominators and the Farey index. Journal of Number Theory. 115:71-86.
Hall R.  1989.  The distribution of squarefree numbers. Journal fur die reine und an. 394:107-117.
Hall R.  1997.  Sieve Methods, Exponential Sums, and their Applications in Number Theory. Book.
Hall R.  1998.  Linear Diophantine equations and Franel integrals. J.reine angew.Math. 496:93-105.
Hall R.  1995.  Sets of multiples. Cambridge Tracts in Mathematics. Camb Uni Press. XXX
Hall PS, Edlin R, Kharroubi SA, Gregory W, McCabe C.  2012.  Expected Net Present Value of Sample Information: from burden to investment. Medical Decision Making. 32(3)
Hall R, Tenenbaum G.  1992.  On Behrend Sequences. Math Proc Camb Phil Soc. 112:467-482.
Hall R.  1999.  The behaviour of the Riemann zeta-function on the critical line. Mathematika. 46(2):281-313.
Hall R.  1994.  On consecutive Farey arcs II. Acta Arithmetica. LXVI.I:1-9.

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