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math.NT2026
Siegel zeros and small gaps between zeros of the Riemann zeta function
Andriy Bondarenko, Winston Heap
On assuming the Riemann Hypothesis, we show that Siegel zeros imply the existence of gaps between the zeros of the Riemann zeta function less than 1/2 the normalised length. Specif…
math.NT2025
The basis functions of Fourier interpolation
David Berghaus, Andriy Bondarenko, Danylo Radchenko +2
The basis functions of the Fourier interpolation formula of Radchenko and Viazovska, constructed by means of weakly holomorphic modular forms for the Hecke theta group, are entire…