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Dr Lillian B. Pierce
MScRes (Oxford), PhD (Princeton)
Personal Web Page
eMail:
Lillian [dot] Pierce [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form
Phone Number(s):
Reception/Secretary: +44 1865 273525
Direct: 01865 273567
Office:
SGS5
Departmental Address:
Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England
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Research Interests:
Harmonic analysis and analytic number theory
Recent Publications (from MathSciNet):
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MR2922342 Pending Heath-Brown, D. R.; Pierce, Lillian B. Counting rational points on smooth cyclic covers.
J. Number Theory 132 (2012), no. 8, 1741–1757. 14Gxx (11D45 11L40)
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MR2954291 Indexed Fefferman, Charles; Fefferman, Robert Princeton lectures in analysis [book reviews of MR1970295, MR1976398, MR2129625,
MR2827930].
With contributions from Paul Hagelstein, Nataša Pavlović and
Lillian Pierce.
Notices Amer. Math. Soc. 59 (2012), no. 5, 641–647. 00A17
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MR2874926 Reviewed Pierce, Lillian B. A note on discrete fractional integral operators on the Heisenberg
group.
Int. Math. Res. Not. IMRN 2012, no. 1, 17–33. 42B25 (43A30)
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MR2872554 Reviewed Pierce, Lillian B. Discrete fractional Radon transforms and quadratic forms.
Duke Math. J. 161 (2012), no. 1, 69–106. (Reviewer: D. R. Heath-Brown) 11P55 (11E25 42B20 44A12)
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MR2869151 Reviewed Bober, Jonathan; Carneiro, Emanuel; Hughes, Kevin; Pierce, Lillian B. On a discrete version of Tanaka's theorem for maximal functions.
Proc. Amer. Math. Soc. 140 (2012), no. 5, 1669–1680. (Reviewer: Charles N. Moore) 42B25 (46E35)
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MR2820148 Reviewed Pierce, Lillian B. On discrete fractional integral operators and mean values of Weyl
sums.
Bull. Lond. Math. Soc. 43 (2011), no. 3, 597–612. (Reviewer: D. R. Heath-Brown) 11P55 (11L15 11P05 42B20)
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MR2661174 Reviewed Pierce, Lillian B. A note on twisted discrete singular Radon transforms.
Math. Res. Lett. 17 (2010), no. 4, 701–720. (Reviewer: Philip T. Gressman) 42B10 (44A12)
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MR2713096 Thesis Pierce, Lillian Beatrix Discrete analogues in harmonic analysis.
Thesis (Ph.D.)–Princeton University.
2009. 321 pp. ISBN: 978-1109-13748-4, ProQuest LLC
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MR2254390 Reviewed Pierce, Lillian B. A bound for the 3-part of class numbers of quadratic fields by means of
the square sieve.
Forum Math. 18 (2006), no. 4, 677–698. (Reviewer: Álvaro Lozano-Robledo) 11R29 (11R11 11R44)
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MR2132372 Reviewed Pierce, L. B. The 3-part of class numbers of quadratic fields.
J. London Math. Soc. (2) 71 (2005), no. 3, 579–598. (Reviewer: Akshay Venkatesh) 11R29 (11R11)
More publications
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