## Publications of Lillian B. Pierce

Papers Published

1. Pierce, LB; Yung, PL, A polynomial Carleson operator along the paraboloid, Revista Matemática Iberoamericana (2018), European Mathematical Society
2. Carneiro, E; Madrid, J; Pierce, LB, Endpoint Sobolev and BV continuity for maximal operators, Journal of Functional Analysis, vol. 273 no. 10 (November, 2017), pp. 3262-3294, Elsevier BV
3. Heath-Brown, DR; Pierce, LB, Averages and moments associated to class numbers of imaginary quadratic fields, Compositio Mathematica, vol. 153 no. 11 (November, 2017), pp. 2287-2309, Oxford University Press (OUP)
4. Pierce, LB, The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth], Astérisque (July, 2017), Centre National de la Recherche Scientifique
5. Heath-Brown, DR; Pierce, LB, Simultaneous integer values of pairs of quadratic forms, Journal Fur Die Reine Und Angewandte Mathematik, vol. 2017 no. 727 (June, 2017), pp. 85-143, WALTER DE GRUYTER GMBH
6. Pierce, LB; Turnage-Butterbaugh, CL; Wood, MM, An effective Chebotarev density theorem for families of number fields, with an application to $\ell$-torsion in class groups, (Submitted) (2017)
7. Guo, S; Pierce, LB; Roos, J; Yung, P, Polynomial Carleson operators along monomial curves in the plane, Journal of Geometric Analysis, vol. 27 no. 4 (2017), pp. 2977-3012, Springer Verlag
8. Ellenberg, J; Pierce, LB; Wood, MM, On ℓ-torsion in class groups of number fields, Algebra & Number Theory, vol. 11 no. 8 (2017), pp. 1739-1778, Mathematical Sciences Publishers
9. Pierce, LB, Burgess bounds for multi-dimensional short mixed character sums, Journal of Number Theory, vol. 163 (June, 2016), pp. 172-210, Elsevier BV
10. Pierce, LB; Schindler, D; Wood, MM, Representations of integers by systems of three quadratic forms, Proceedings of the London Mathematical Society, vol. 3 no. 113 (2016), pp. 289-344, London Mathematical Society
11. Bober, J; Carneiro, E; Hughes, K; Kosz, D; Pierce, LB, Corrigendum to “on a discrete version of Tanaka’s theorem for maximal functions”, Proceedings of the American Mathematical Society, vol. 143 no. 12 (2015), pp. 5471-5473, American Mathematical Society (AMS), ISSN 0002-9939
12. Heath-Brown, DR; Pierce, LB, Burgess bounds for short mixed character sums, Journal of the London Mathematical Society, vol. 91 no. 3 (2015), pp. 693-708, Oxford University Press (OUP), ISSN 0024-6107
13. Alaifari, R; Pierce, LB; Steinerberger, S, Lower bounds for the truncated Hilbert transform, Arxiv:1311.6845 [Math], vol. 32 no. 1 (November, 2013), pp. 23-56, European Mathematical Publishing House
14. Pierce, LB, Correction to "discrete fractional radon transforms and quadratic forms," duke math. J. 161 2012, 69-106, Duke Mathematical Journal, vol. 162 no. 6 (2013), pp. 1203-1204, Duke University Press, ISSN 0012-7094
15. Bober, J; Carneiro, E; Hughes, K; Pierce, LB, On a discrete version of Tanaka's theorem for maximal functions, Proceedings of the American Mathematical Society, vol. 140 no. 5 (May, 2012), pp. 1669-1680, American Mathematical Society (AMS), ISSN 0002-9939
16. Pierce, LB, Discrete fractional radon transforms and quadratic forms, Duke Mathematical Journal, vol. 161 no. 1 (2012), pp. 69-106, Duke University Press, ISSN 0012-7094
17. Heath-Brown, DR; Pierce, LB, Counting rational points on smooth cyclic covers, Journal of Number Theory, vol. 132 no. 8 (2012), pp. 1741-1757, Elsevier BV, ISSN 0022-314X
18. Pierce, LB, A note on discrete fractional integral operators on the heisenberg group, International Mathematics Research Notices, vol. 2012 no. 1 (2012), pp. 17-33, Oxford University Press (OUP), ISSN 1073-7928
19. Pierce, LB, On discrete fractional integral operators and mean values of Weyl sums, Bulletin of the London Mathematical Society, vol. 43 no. 3 (2011), pp. 597-612, Oxford University Press (OUP), ISSN 0024-6093
20. Pierce, LB, A note on twisted discrete singular Radon transforms, Mathematical Research Letters, vol. 17 no. 4 (2010), pp. 701-720, International Press of Boston, ISSN 1073-2780
21. Pierce, LB, A bound for the 3-part of class numbers of quadratic fields by means of the square sieve, Forum Mathematicum, vol. 18 no. 4 (2006), pp. 677-698, WALTER DE GRUYTER GMBH, ISSN 0933-7741
22. Pierce, LB, The 3-part of class numbers of quadratic fields, Journal of the London Mathematical Society, vol. 71 no. 3 (2005), pp. 579-598, Oxford University Press (OUP), ISSN 0024-6107

Other

1. L.B. Pierce, Recent Publications (2015)