AB
Andriy Bondarenko
math.NTmath.MGmath.COmath.CAmath.CVmath.FAcs.NAmath.NAmath.MPmath-ph
On Valency
published · living versionsW_q2taaj8g·v1 · currentpublished
Borsuk number in four dimensions is at most seven
with Andrii Arman, Andriy Prymak, Danylo Radchenko
1 version
W_zjmv947b·v1published
Preprints & journals
32 papers in the corpus · 2008–2026Half-sized gaps between zeros of the Riemann zeta function2610.26038v1 · Andriy Bondarenko, Winston Heap2026 · 0 citationsarXivon Valency
The zeros of point evaluation extremals in Paley-Wiener spaces2610.19132v1 · Andriy Bondarenko, Joaquim Ortega-Cerda, Kristian Seip2026 · 0 citationsarXiv
The basis functions of Fourier interpolation2512.18677v1 · David Berghaus, Andriy Bondarenko, Danylo Radchenko et al.2025 · 0 citationsarXiv
On asymptotic Lebesgue's universal covering problem2512.04023v2 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2025 · 0 citationsBull. London Math. Soc. 58 (2026), no. 10, e70514
The Hörmander--Bernhardsson extremal function2504.05205v2 · Andriy Bondarenko, Joaquim Ortega-Cerda, Danylo Radchenko et al.2025 · 0 citationsarXiv
The Hörmander--Bernhardsson extremal function: A preliminary study2407.00970v2 · Andriy Bondarenko, Joaquim Ortega-Cerda, Danylo Radchenko et al.2024 · 1 citationarXiv
Convex bodies of constant width with exponential illumination number2304.10418v3 · Andrii Arman, Andriy Bondarenko, Andriy Prymak2023 · 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
Spherical coverings and X-raying convex bodies of constant width2011.06398v3 · A. Bondarenko, A. Prymak, D. Radchenko2020 · 4 citationsCanad. Math. Bull., 65 (4) 2022, 860-866
Fourier interpolation with zeros of zeta and -functions2005.02996v3 · Andriy Bondarenko, Danylo Radchenko, Kristian Seip2020 · 12 citationsarXiv
On certain sums over ordinates of zeta-zeros II1808.01763v1 · Andriy Bondarenko, Aleksandar Ivi'c, Eero Saksman et al.2018 · 1 citationarXiv
Linear space properties of spaces of Dirichlet series1801.06515v2 · Andriy Bondarenko, Ole Fredrik Brevig, Eero Saksman et al.2018 · 18 citationsTrans. Amer. Math. Soc. 372 (2019), no. 9, 6677--6702
Extreme values of the Riemann zeta function and its argument1704.06158v3 · Andriy Bondarenko, Kristian Seip2017 · 43 citationsMath. Ann. 372 (2018), 999--1015
Note on the resonance method for the Riemann zeta function1701.04978v1 · Andriy Bondarenko, Kristian Seip2017 · 21 citationsarXiv
Gál-type GCD sums beyond the critical line1512.03758v2 · Andriy Bondarenko, Titus Hilberdink, Kristian Seip2015 · 8 citationsJ. Number Theory 166 (2016), 93-104
There is no strongly regular graph with parameters (460,153,32,60)1509.06286v2 · A. V. Bondarenko, A. Mellit, A. Prymak et al.2015 · 1 citationarXiv
Helson's problem for sums of a random multiplicative function1411.6388v2 · Andriy Bondarenko, Kristian Seip2014 · 23 citationsMathematika 62 (2015) 101-110
Non-existence of (76,30,8,14) strongly regular graph1410.6748v3 · A. V. Bondarenko, A. Prymak, D. Radchenko2014 · 6 citationsLinear Algebra Appl. 527 (2017), 53-72
An inequality of Hardy--Littlewood type for Dirichlet polynomials1405.6516v3 · Andriy Bondarenko, Winston Heap, Kristian Seip2014 · 26 citationsarXiv
On concentrators and related approximation constants1404.2161v1 · A. V. Bondarenko, A. Prymak, D. Radchenko2014 · 5 citationsJ. Math. Anal. Appl. 402 (2013), no. 1, 234-241
GCD sums and complete sets of square-free numbers1402.0249v4 · Andriy Bondarenko, Kristian Seip2014 · 21 citationsBull. London Math. Soc. 47 (2015), 29-41
On Borsuk's conjecture for two-distance sets1305.2584v3 · Andriy V. Bondarenko2013 · 40 citationsarXiv
Well separated spherical designs1303.5991v2 · Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska2013 · 1 citationarXiv
Mesh ratios for best-packing and limits of minimal energy configurations1212.6211v1 · A. V. Bondarenko, D. P. Hardin, E. B. Saff2012 · 13 citationsarXiv
Minimal -Point Diameters and -Best-Packing Constants in 1204.4403v1 · A.V. Bondarenko, D.P. Hardin, E.B. Saff2012 · 0 citationsarXiv
On a family of strongly regular graphs with \lambda=11201.0383v3 · Andriy V. Bondarenko, Danylo V. Radchenko2012 · 0 citationsarXiv
Convex Multivariate Approximation by Algebras of Continuous Functions1011.3478v1 · Andriy Bondarenko, Andriy Prymak2010 · 0 citationsAdvances in constructive approximation: Vanderbilt 2003, 123-131, Mod. Methods Math., Nashboro Press, Brentwood, TN, 2004
Optimal asymptotic bounds for spherical designs1009.4407v3 · Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska2010 · 144 citationsarXiv
Bernstein type inequality in monotone rational approximation1009.4430v1 · Andriy V. Bondarenko, Maryna S. Viazovska2010 · 1 citationEast J. Approx. 11 (2005), no. 1, 103--108
On a spherical code in the space of spherical harmonics0811.4180v1 · Andriy Bondarenko2008 · 4 citationsarXiv
Spherical designs via Brouwer fixed point theorem0811.1416v1 · Andriy V. Bondarenko, Maryna S. Viazovska2008 · 13 citationsSIAM J. Discrete Math. 24 (2010), no. 1, 207--217
New asymptotic estimates for spherical designs0811.0168v1 · Andriy V. Bondarenko, Maryna S. Viazovska2008 · 6 citationsJournal of Approximation Theory Volume 152, Issue 1, May 2008, Pages 101-106
Career total: 55 works. 32 are in this corpus.
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