WH
Winston Heap
math.NTmath.PRmath.CVmath.FA
On Valency
published · living versionsW_zjmv947b·v1 · currentpublished
Preprints & journals
23 papers in the corpus · 2012–2026Half-sized gaps between zeros of the Riemann zeta function2610.26038v1 · Andriy Bondarenko, Winston Heap2026 · 0 citationsarXivon Valency
Siegel zeros and small gaps between zeros of the Riemann zeta function2608.07399v1 · Andriy Bondarenko, Winston Heap2026 · 0 citationsarXiv
An Analogue of the Dedekind Eta Function for Hecke Groups 2508.21239v3 · Debmalya Basak, Dorian Goldfeld, Winston Heap et al.2025 · 0 citationsarXiv
The fourth moment of the Hurwitz zeta function2405.10888v1 · Winston Heap, Anurag Sahay2024 · 0 citationsarXiv
Simultaneous extreme values of zeta and L-functions2306.07777v1 · Winston Heap, Junxian Li2023 · 1 citationarXiv
A dichotomy for extreme values of zeta and Dirichlet L-functions2302.08285v1 · Andriy Bondarenko, Pranendu Darbar, Markus Val\aas Hagen et al.2023 · 2 citationsBull. London Math. Soc. 55 (2023), 2963-2975
Conditional mean values of long Dirichlet polynomials2201.02108v1 · Winston Heap2022 · 0 citationsarXiv
A paucity problem associated with a shifted integer analogue of the divisor function2108.00287v1 · Winston Heap, Anurag Sahay, Trevor D. Wooley2021 · 4 citationsarXiv
Sign changes of the partial sums of a random multiplicative function2103.05413v3 · Marco Aymone, Winston Heap, Jing Zhao2021 · 6 citationsarXiv
On the splitting conjecture in the hybrid model for the Riemann zeta function2102.02092v1 · Winston Heap2021 · 4 citationsarXiv
Lower bounds for moments of zeta and -functions revisited2007.13154v1 · Winston Heap, K. Soundararajan2020 · 15 citationsarXiv
Partial sums of random multiplicative functions and extreme values of a model for the Riemann zeta function2006.02754v1 · Marco Aymone, Winston Heap, Jing Zhao2020 · 8 citationsarXiv
Lower bounds for discrete negative moments of the Riemann zeta function2003.09368v1 · Winston Heap, Junxian Li, Jing Zhao2020 · 11 citationsAlg. Number Th. 16 (2022) 1589-1625
Sharp upper bounds for fractional moments of the Riemann zeta function1901.08423v1 · Winston Heap, Maksym Radziwiłł, Kannan Soundararajan2019 · 29 citationsarXiv
A note on the maximum of the Riemann zeta function on the 1-line1812.01415v1 · Winston Heap2018 · 0 citationsarXiv
High pseudomoments of the Riemann zeta function1805.03881v2 · Ole Fredrik Brevig, Winston Heap2018 · 2 citationsJ. Number Theory 197 (2019), 383--410
Upper bounds for norms of Dirichlet polynomials with small 1703.08842v1 · Winston Heap2017 · 4 citationsarXiv
Convergence Abscissas for Dirichlet Series with Multiplicative Coefficients1506.04546v2 · Ole Fredrik Brevig, Winston Heap2015 · 3 citationsExpo. Math. 34 (2016), no. 4, 448--453
Moments of random multiplicative functions and truncated characteristic polynomials1505.03378v1 · Winston Heap, Sofia Lindqvist2015 · 10 citationsarXiv
Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II1410.3888v2 · H. M. Bui, Winston Heap, Caroline L. Turnage-Butterbaugh2014 · 2 citationsarXiv
An inequality of Hardy--Littlewood type for Dirichlet polynomials1405.6516v3 · Andriy Bondarenko, Winston Heap, Kristian Seip2014 · 26 citationsarXiv
Moments of the Dedekind zeta function and other non-primitive L-functions1303.6119v1 · Winston Heap2013 · 2 citationsarXiv
The Twisted Second Moment of the Dedekind Zeta Function of a Quadratic Field1211.2182v1 · Winston Heap2012 · 9 citationsarXiv
Career total: 30 works. 23 are in this corpus.
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