Publications
19. W. Heap, J. Li, Simultaneous extreme values of zeta and L-functions, submitted. arXiv
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18. A. Bondarenko, P. Darbar, M. V. Hagen, W. Heap, K. Seip, A dichotomy for extreme values of zeta and Dirichlet L-functions, to appear, Bull. London Math. Soc. arXiv
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17. W. Heap, Conditional mean values of long Dirichlet polynomials, submitted. arXiv
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16. W. Heap, A. Sahay, T. Wooley, A paucity problem associated with a shifted integer analogue of the divisor function, J. Number Theory, 242 (2023), 660- 668. arXiv, Journal
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15. M. Aymone, W. Heap, J. Zhao, Sign changes of the partial sums of a random multiplicative function, Bull. London Math. Soc. 55 no. 1 (2022), 78-89.15. arXiv, Journal
14. W. Heap, On the splitting conjecture in the hybrid model for the Riemann zeta function, Forum Math. 35 no. 2 (2023), 329-362. arXiv, Journal
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13. W. Heap, K. Soundararajan, Lower bounds for moments of zeta and L-functions revisited, Mathematika, 68 no. 1 (2022), 1-14. arXiv, Journal
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12. M. Aymone, W. Heap, J. Zhao, Partial sums of random multiplicative functions and extreme values of a model for the Riemann zeta function, J. London 15. Math. Soc. 103 no. 4 (2021), 1618-1642. arXiv, Journal
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11. W. Heap, J. Li, J. Zhao, Lower bounds for discrete negative moments of the Riemann zeta function, Algebra and Number Theory, 16 no. 7 (2022), 1589-15.1625. arXiv, Journal
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10. W. Heap, M. Radziwiłł, K. Soundararajan, Sharp upper bounds for fractional moments of the Riemann zeta function, Quart. J. of Math., 70 no. 4 (2019), 15.1387-1396. arXiv, Journal
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9. W. Heap, A note on the maximum of the Riemann zeta function on the 1-line, Bull. London. Math. Soc. 52 no. 6 (2020), 1064-1071. arXiv, Journal
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8. O. Brevig, W. Heap, High pseudomoments of the Riemann zeta function, J. Number Theory, 197 (2019), 383--410. arXiv, Journal
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7. W. Heap, Upper bounds for L^q norms of Dirichlet polynomials with small q, J. Functional Analysis, 275 no. 9 (2018), 2473-2496. arXiv, Journal
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6. O. Brevig, W. Heap, Convergence abscissas for Dirichlet series with multiplicative coefficients, Expositiones Mathematicae, 34 no. 4 (2016), 448-453. 15.arXiv, Journal
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5. W. Heap, S. Lindqvist, Moments of random multiplicative functions and truncated characteristic polynomials, Quart. J. Math., 67 no. 4 (2016), 683-714. 5. arXiv, Journal
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4. H. Bui, W. Heap, C. Turnage-Butterbaugh, Gaps between zeros of Dedekind zeta functions of quadratic fields II, Quart. J. Math., 67 no. 3 (2016), 467-4.482. arXiv, Journal
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3. A. Bondarenko, W. Heap, K. Seip, An inequality of Hardy--Littlewood type for Dirichlet polynomials, J. Number Theory, 150 (2015), 191-205. arXiv, Journal
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2. W. Heap, Moments of the Dedekind zeta function and other non-primitive L-functions, Math. Proc. Cam. Phil. Soc., 170 no. 1 (2021), 191-219. arXiv,
1 ..Journal
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1. W. Heap, The Twisted Second Moment of the Dedekind Zeta Function of a Quadratic Field, Int. J. Number Theory, 10 no. 1 (2014), 235-281. arXiv, Journal