Danylo Radchenko

1. Universal optimality of the E₈ and Leech lattices and interpolation formulas
   2019/02/13 by Henry Cohn, Abhinav Kumar, Cohn, Henry +7 · 10 citations
   Mathematics · #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows #Morphological variations and asymmetry
2. Sharp Gaussian decay for the one-dimensional harmonic oscillator
   2023/05/29 by Danylo Radchenko, Radchenko, Danylo, João P. G. Ramos +1 · 3 citations
   Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
3. Fourier interpolation with zeros of zeta and L-functions
   2020/05/06 by Andriy Bondarenko, Danylo Radchenko, Bondarenko, Andriy +3 · 2 citations
   Mathematics · #11F37 #11M06 #42A10 #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #advanced mathematical theories
4. The Kirkwood-Dirac representation associated to the Fourier transform for finite abelian groups: positivity
   2025/01/21 by Stephan De Bièvre, De Bièvre, Stephan, Christopher Langrenez +3 · 3 citations
   Computer Science · Mathematics · #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum Physics (quant-ph) #Spectral Theory in Mathematical Physics
5. The D⁶ R⁴ interaction as a Poincaré series, and a related shifted convolution sum
   2022/09/30 by Kim Klinger-Logan, Stephen D. Miller, Klinger-Logan, Kim +3 · 1 citation
   Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT) #Particle physics theoretical and experimental studies
6. On the computation of modular forms on noncongruence subgroups
   2022/07/27 by David Berghaus, Berghaus, David, H. Monien +3 · 1 citation
   Computer Science · Mathematics · #11F11 #11F30 (Primary) #11G32 #11Y35 (Secondary) #65F10 #65Q20 #65Y20 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT)
7. Multiple polylogarithms and the Steinberg module
   2025/05/04 by Steven J. Charlton, Danylo Radchenko, Charlton, Steven +3 · 1 citation
   Mathematics · #Advanced Mathematical Identities #Advanced Combinatorial Mathematics #Advanced Algebra and Geometry
8. On Grünbaum's problem for symmetric configurations
   2026/07/24 by Andrii Arman, Andriy Bondarenko, Andriy Prymak +1
   Mathematics · #math.MG