DR
Danylo Radchenko
math.NTmath.MGmath.COmath.CAmath.FAmath.AGmath.CVmath.MPmath-phcs.NA
On Valency
published · living versionsW_q2taaj8g·v1 · currentpublished
Borsuk number in four dimensions is at most seven
with Andrii Arman, Andriy Bondarenko, Andriy Prymak
1 version
Preprints & journals
54 papers in the corpus · 2008–2026Real quadratic fields and finite quantum dilogarithms I2609.21892v2 · Danylo Radchenko, Campbell Wheeler2026 · 0 citationsarXiv
The Hörmander--Bernhardsson function in higher dimensions2608.22198v1 · Felipe Goncalves, Danylo Radchenko, Antonio Pedro Ramos2026 · 0 citationsarXiv
On Grünbaum's problem for symmetric configurations2607.22032v1 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2026 · 0 citationsarXiv
Sharp Lower Bounds for Sumsets in Hypercubes2607.01458v1 · Felipe Goncalves, Danylo Radchenko2026 · 0 citationsarXiv
A construction of spherical -designs with points2606.01376v1 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2026 · 0 citationsarXiv
An integrality phenomenon2603.25506v2 · Florian Furnsinn, Danylo Radchenko, Wadim Zudilin2026 · 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
Fourier interpolation in dimensions 3 and 4 and real-variable Kloosterman sums2510.04873v2 · Danylo Radchenko, Qihang Sun2025 · 0 citationsarXiv
Multiple polylogarithms and the Steinberg module2505.02202v2 · Steven Charlton, Danylo Radchenko, Daniil Rudenko2025 · 0 citationsarXiv
The Hörmander--Bernhardsson extremal function2504.05205v2 · Andriy Bondarenko, Joaquim Ortega-Cerda, Danylo Radchenko et al.2025 · 0 citationsarXiv
The Kirkwood-Dirac representation associated to the Fourier transform for finite abelian groups: positivity2501.12252v2 · Stephan De Bievre, Christopher Langrenez, Danylo Radchenko2025 · 3 citationsAnn. Henri Poincar\'e (2025)
The Hopf algebra of formal multiple polylogarithms2411.15071v2 · Steven Charlton, Andrei Matveiakin, Danylo Radchenko et al.2024 · 0 citationsarXiv
Convolution identities for divisor sums and modular forms.39453745 · Fedosova, Ksenia, Klinger-Logan, Kim, Radchenko, Danylo2024 · 3 citationsProceedings of the National Academy of Sciences of the United States of America. 2024;121(44):e2322320121
Perturbed lattice crosses and Heisenberg uniqueness pairs2410.04557v1 · Danylo Radchenko, Joao P. G. Ramos2024 · 0 citationsarXiv
On a Gallai-type problem and illumination of spiky balls and cap bodies2408.01341v1 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2024 · 1 citationarXiv
The Hörmander--Bernhardsson extremal function: A preliminary study2407.00970v2 · Andriy Bondarenko, Joaquim Ortega-Cerda, Danylo Radchenko et al.2024 · 1 citationarXiv
Small Volume Bodies of Constant Width with Tetrahedral Symmetries2406.18428v2 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2024 · 0 citationsSIGMA 21 (2025), 109, 8 pages
Small volume bodies of constant width2405.18501v2 · Andrii Arman, Andriy Bondarenko, Fedor Nazarov et al.2024 · 1 citationInternational Mathematics Research Notices, 2025 (2025), no. 4, 1-7
Sharp Gaussian decay for the one-dimensional harmonic oscillator2305.18546v1 · Danylo Radchenko, Joao P. G. Ramos2023 · 0 citationsarXiv
A quantitative stability result for the sphere packing problem in dimensions 8 and 242303.07908v2 · K'aroly J. Boroczky, Danylo Radchenko, Joao P. G. Ramos2023 · 0 citationsarXiv
A Database of Modular Forms on Noncongruence Subgroups2301.02135v1 · David Berghaus, Hartmut Monien, Danylo Radchenko2023 · 1 citationarXiv
Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry2210.13229v1 · David Berghaus, Robert Stephen Jones, Hartmut Monien et al.2022 · 0 citationsarXiv
On the Goncharov Depth Conjecture and polylogarithms of depth two2210.11938v2 · Steven Charlton, Herbert Gangl, Danylo Radchenko et al.2022 · 1 citationarXiv
The interaction as a Poincaré series, and a related shifted convolution sum2210.00047v3 · Kim Klinger-Logan, Stephen D. Miller, Danylo Radchenko2022 · 0 citationsarXiv
On the computation of modular forms on noncongruence subgroups2207.13365v1 · David Berghaus, Hartmut Monien, Danylo Radchenko2022 · 2 citationsarXiv
Upper bounds on chromatic number of in low dimensions2112.13438v2 · Andrii Arman, Andriy V. Bondarenko, Andriy Prymak et al.2021 · 1 citationElectron. J. Combin., 31(2) (2024), #P2.35
Hyperbolic Fourier series2110.00148v2 · Andrew Bakan, Haakan Hedenmalm, Alfonso Montes-Rodriguez et al.2021 · 1 citationarXiv
Fourier non-uniqueness sets from totally real number fields2108.11828v3 · Danylo Radchenko, Martin Stoller2021 · 3 citationsarXiv
Fourier uniqueness in even dimensions.33827926 · Bakan, Andrew, Hedenmalm, Haakan, Montes-Rodríguez, Alfonso et al.2021 · 8 citationsProceedings of the National Academy of Sciences of the United States of America. 2021;118(15)
On Dirichlet eigenvalues of regular polygons2103.01057v1 · David Berghaus, Bogdan Georgiev, Hartmut Monien et al.2021 · 0 citationsarXiv
Arithmetic properties of the Herglotz function2012.15805v1 · Danylo Radchenko, Don Zagier2020 · 6 citationsarXiv
Functional equations of polygonal type for multiple polylogarithms in weights 5, 6 and 72012.09840v1 · Steven Charlton, Herbert Gangl, Danylo Radchenko2020 · 0 citationsarXiv
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 uniqueness in 2007.03981v1 · Andrew Bakan, Haakan Hedenmalm, Alfonso Montes-Rodriguez et al.2020 · 0 citationsPNAS 118 (15), (2021), e20223227118
Fourier interpolation with zeros of zeta and -functions2005.02996v3 · Andriy Bondarenko, Danylo Radchenko, Kristian Seip2020 · 12 citationsarXiv
Explicit formulas for Grassmannian polylogarithms1909.13869v2 · Steven Charlton, Herbert Gangl, Danylo Radchenko2019 · 3 citationsarXiv
Independence Polynomials and Hypergeometric Series1908.11231v2 · Danylo Radchenko, Fernando Rodriguez Villegas2019 · 1 citationarXiv
On functional equations for Nielsen polylogarithms1908.04770v1 · Steven Charlton, Herbert Gangl, Danylo Radchenko2019 · 6 citationsarXiv
On a tropical version of the Jacobian conjecture1902.07733v1 · Dima Grigoriev, Danylo Radchenko2019 · 5 citationsarXiv
Universal optimality of the and Leech lattices and interpolation formulas1902.05438v3 · Henry Cohn, Abhinav Kumar, Stephen D. Miller et al.2019 · 84 citationsarXiv
Unit distance graphs and algebraic integers1807.03726v1 · Danylo Radchenko2018 · 2 citationsarXiv
Goursat rigid local systems of rank four1803.08379v1 · Danylo Radchenko, Fernando Rodriguez Villegas2018 · 2 citationsarXiv
Fourier interpolation on the real line1701.00265v2 · Danylo Radchenko, Maryna Viazovska2017 · 34 citationsM. Publ.math.IHES (2018)
The sphere packing problem in dimension 241603.06518v4 · Henry Cohn, Abhinav Kumar, Stephen D. Miller et al.2016 · 287 citationsAnnals of Mathematics 185 (2017), 1017-1033
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
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
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
Well separated spherical designs1303.5991v2 · Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska2013 · 1 citationarXiv
On a family of strongly regular graphs with \lambda=11201.0383v3 · Andriy V. Bondarenko, Danylo V. Radchenko2012 · 0 citationsarXiv
Career total: 79 works. 54 are in this corpus.Showing the 50 most recent.
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