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April 3, 2026Open Access

Riemann Hypothesis. A proof program via moment inequalities and the Turán criterion of CsordasVarga

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Authors

SESporyshev Eugene

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Overview

This program details proof strategies for the Riemann Hypothesis, indicating mathematical advancements in evaluation.

Key Points

  • The aim is to develop a proof strategy for the Riemann Hypothesis using moment inequalities and the Turán criterion.
  • Introduced a central identity connecting monotonicity ratios to Q-concavity.
  • Verified analytical steps using independent computational iterations.
  • Applied Turán inequalities across specified ranges.
  • Utilized the theorem of Csordas-Varga to establish the Riemann Hypothesis.
  • Establishing the Q-concavity of ∆2rk(λ) as negative.
  • Verified results through 12 independent code iterations with zero errors.
  • Documented updates certifying ρk(λj) < Bk within specified parameters.

Cite This Study

Sporyshev Eugene (2026) studied this question.

synapsesocial.com/papers/69cf5f225a333a821460e035https://doi.org/10.5281/zenodo.19359460
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