Publications of Lillian B. Pierce    :recent first  combined  bibtex listing:

Papers Published

1. 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 [doi]  [abs]
2. Gressman, PT; Pierce, LB; Roos, J; Yung, P-L, A new type of superorthogonality (December, 2022)
3. Gressman, PT; Pierce, LB; Roos, J; Yung, PL, A NEW TYPE OF SUPERORTHOGONALITY, Proceedings of the American Mathematical Society, vol. 152 no. 2 (February, 2024), pp. 665-675 [doi]  [abs]
4. 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 [doi]  [abs]
5. 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 [doi]  [abs]
6. Pierce, LB; Yung, PL, A polynomial Carleson operator along the paraboloid, Revista Matemática Iberoamericana (2018), European Mathematical Society
7. 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, Inventiones Mathematicae, vol. 219 no. 2 (2020), pp. 707-778, Springer [doi]  [abs]
8. Fefferman, C; Ionescu, A; Tao, T; Wainger, S, Analysis and applications: The mathematical work of Elias Stein, Bulletin of the American Mathematical Society, vol. 57 no. 4 (March, 2020), pp. 523-594, American Mathematical Society (AMS) [doi]
9. Bonolis, D; Pierce, LB, Application of a polynomial sieve: beyond separation of variables (September, 2022)  [abs]
10. Pierce, LB; Heath-Brown, DR, Averages and moments associated to class numbers of imaginary quadratic fields, vol. 153 no. 11 (November, 2017), pp. 2287-2309, Oxford University Press (OUP) [doi]  [abs]
11. Pierce, LB, Burgess bounds for multi-dimensional short mixed character sums, Journal of Number Theory, vol. 163 (June, 2016), pp. 172-210, Elsevier BV [doi]  [abs]
12. Pierce, LB; Xu, J, Burgess bounds for short character sums evaluated at forms, Algebra and Number Theory, vol. 14 no. 7 (January, 2020), pp. 1911-1951 [doi]  [abs]
13. Pierce, LB, Burgess bounds for short character sums evaluated at forms II: the mixed case, vol. 12 no. 1 (2020), pp. 151-179  [abs]
14. 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 [doi]  [abs]
15. 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 [doi]
16. 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 [doi]  [abs]
17. An, C; Chu, R; Pierce, LB, Counterexamples for High-Degree Generalizations of the Schrödinger Maximal Operator, International Mathematics Research Notices, vol. 2023 no. 10 (May, 2023), pp. 8371-8418, Oxford University Press (OUP) [doi]  [abs]
18. Pierce, L, Counting problems: class groups, primes, and number fields, ICM 2022 Proceedings (accepted, in press) (2021)
19. 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 [doi]  [abs]
20. 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 [doi]  [abs]
21. Pierce, LB; Beckner, W; Dafni, G; Fefferman, C; Ionescu, A; Kearn, V; Kenig, CE; Knapp, AW; Krantz, SG; Lanzani, L; Nagel, A; Phong, DH; Ricci, F; Rothschild, L; Shakarchi, R; Sogge, C; Stein, J; Stein, K; Tao, T; Wainger, S; Widom, H, Elias M. Stein (1931–2018), Notices of the American Mathematical Society, vol. 68 no. 04 (April, 2021), pp. 1-1, American Mathematical Society (AMS) [doi]
22. 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 [doi]
23. Browning, T; Pierce, LB; Schindler, D, Generalised quadratic forms over totally real number fields (December, 2022)
24. Pierce, L; Chu, R, Generalizations of the Schrödinger maximal operator: building arithmetic counterexamples, in https://arxiv.org/abs/2309.05872 (November, 2023)
25. Chu, R; Pierce, LB, Generalizations of the Schrödinger maximal operator: building arithmetic counterexamples, Journal d'Analyse Mathematique, vol. 151 no. 1 (December, 2023), pp. 59-114 [doi]  [abs]
26. Bucur, A; Cojocaru, AC; Lalín, MN; Pierce, LB, Geometric generalizations of the square sieve, with an application to cyclic covers, Mathematika: a journal of pure and applied mathematics (2022), Wiley  [abs]
27. 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 [doi]  [abs]
28. Pierce, LB; Turnage-Butterbaugh, CL; Wood, MM, On a conjecture for $\ell$-torsion in class groups of number fields: from the perspective of moments, Mathematical Research Letters, vol. 28 no. 2 (2021), pp. 575-621, International Press  [abs]
29. 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 [doi]  [abs]
30. Pierce, LB, ON BOURGAIN’S COUNTEREXAMPLE for the SCHRÖDINGER MAXIMAL FUNCTION, Quarterly Journal of Mathematics, vol. 71 no. 4 (December, 2020), pp. 1309-1344, Oxford University Press (OUP) [doi]  [abs]
31. 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 [doi]  [abs]
32. Alaifari, R; Cheng, X; Pierce, LB; Steinerberger, S, On matrix rearrangement inequalities, Proceedings of the American Mathematical Society, vol. 148 no. 5 (January, 2020), pp. 1835-1848, American Mathematical Society (AMS) [doi]  [abs]
33. Anderson, TC; Maldague, D; Pierce, L, On Polynomial Carleson operators along quadratic hypersurfaces (November, 2022)
34. Pierce, LB, On Superorthogonality, Journal of Geometric Analysis, vol. 31 no. 7 (July, 2021), pp. 7096-7183 [doi]  [abs]
35. Gressman, PT; Guo, S; Pierce, LB; Roos, J; Yung, P-L, On the strict majorant property in arbitrary dimensions, Quarterly Journal of Mathematics (2022), Oxford University Press  [abs]
36. Ellenberg, J; Pierce, LB; Wood, MM, On ℓ-torsion in class groups of number fields, Algebra and Number Theory, vol. 11 no. 8 (2017), pp. 1739-1778, Mathematical Sciences Publishers [doi]  [abs]
37. 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 [doi]  [abs]
38. 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 [doi]  [abs]
39. Gressman, PT; Guo, S; Pierce, LB; Roos, J; Yung, PL, Reversing a Philosophy: From Counting to Square Functions and Decoupling, Journal of Geometric Analysis, vol. 31 no. 7 (July, 2021), pp. 7075-7095 [doi]  [abs]
40. Chruściel, PT; De Mesmay, A; Păun, M; Peyre, E; Barthe, F; Helfgott, HA; Kontsevich, M; Villani, C; Guillermou, S; Hernandez, D; Ma, X; Massot, P; Bergeron, N; Oesterlé, J; Pierce, LB; Rousset, F, Séminaire Bourbaki Volume 2016/2017 Exposés 1120-1135, Asterisque, vol. 407 (January, 2019), pp. 1-602 [doi]  [abs]
41. 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 [doi]  [abs]
42. 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 [doi]  [abs]
43. Pierce, LB, The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth], AstÉrisque (July, 2017), Centre National de la Recherche Scientifique  [abs]

Other

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