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New paper explores Bernoulli levels and zeta function geometry

A new arXiv paper by Y. Kenan Yilmaz explores the geometric properties of ordered Bernoulli-word kernels and their relationship to the Riemann zeta function. The research details an exact integer quantization of a quadratic coordinate and decomposes critical-line zero ordinates into nearest integers and periodic Bernoulli residuals. The work also links Dirichlet series and Euler products through prime-generator coordinates and complex exponents, while explicitly stating no proof of the Riemann Hypothesis is claimed. AI

IMPACT This research delves into mathematical foundations that could indirectly influence future AI model development, particularly in areas requiring complex data analysis and theoretical underpinnings.

RANK_REASON The cluster contains an academic paper submitted to arXiv. [lever_c_demoted from research: ic=2 ai=0.4]

Read on Hugging Face Daily Papers →

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New paper explores Bernoulli levels and zeta function geometry

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The cluster contains an academic paper submitted to arXiv. [lever_c_demoted from research: ic=2 ai=0.4]
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COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Y. Kenan Y{\i}lmaz ·

    From Ordered Bernoulli Levels to Critical-Line Geometry: Integer Quantization, Bernoulli Residual Phase, and Prime-Power Spectra

    arXiv:2609.03801v1 Announce Type: new Abstract: We study the ordered Bernoulli-word kernel f(p,n,k)=p^k(1-p)^(n-k) and the geometry generated by its inverse-integer level sets. The binary level 2^(-n) selects p=1/2 as the unique real split-independent anchor. Under complement-pre…

  2. Hugging Face Daily Papers TIER_1 English(EN) ·

    From Ordered Bernoulli Levels to Critical-Line Geometry: Integer Quantization, Bernoulli Residual Phase, and Prime-Power Spectra

    We study the ordered Bernoulli-word kernel f(p,n,k)=p^k(1-p)^(n-k) and the geometry generated by its inverse-integer level sets. The binary level 2^(-n) selects p=1/2 as the unique real split-independent anchor. Under complement-preserving complex continuation, the pair becomes z…