293 citations · 357 across the 38 of their papers we have counts for
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Arithmetic properties of the Herglotz function
Danylo Radchenko, Don Zagier
In this paper we study two functions and , originally found by Herglotz in 1923 and later rediscovered and used by one of the authors in connection with the Kronecker…
Functional equations of polygonal type for multiple polylogarithms in weights 5, 6 and 7
Steven Charlton, Herbert Gangl, Danylo Radchenko
We present new functional equations in weights 5, 6 and 7 and use them for explicit depth reduction of multiple polylogarithms. These identities generalize the crucial identity $\m…
Spherical coverings and X-raying convex bodies of constant width
A. Bondarenko, A. Prymak, D. Radchenko
K. Bezdek and Gy. Kiss showed that existence of origin-symmetric coverings of unit sphere in by at most congruent spherical caps with radius not exceeding $\ar…
Fourier uniqueness in
Andrew Bakan, Haakan Hedenmalm, Alfonso Montes-Rodriguez +2
We show an interrelation between the uniqueness aspect of the recent Fourier interpolation formula of Radchenko and Viazovska and the Heisenberg uniqueness study for the Klein-Gord…
Fourier interpolation with zeros of zeta and -functions
Andriy Bondarenko, Danylo Radchenko, Kristian Seip
We construct a large family of Fourier interpolation bases for functions analytic in a strip symmetric about the real line. Interesting examples involve the nontrivial zeros of the…