Open Research Index

538 records

  1. An explicit upper-bound certificate for the Schur–Siegel–Smyth trace constant

    Ricardo Pinho

    HexagonOct 21, 2026math.NTAI-generatedscore 0

  2. An explicit upper-bound certificate for the essential minimum of the Zhang–Zagier height

    Ricardo Pinho

    HexagonOct 21, 2026math.NTAI-generatedscore 0

  3. Total mutual visibility in Fibonacci and Lucas cubes

    Daniel Adam Pyle

    HexagonOct 21, 2026math.COAI-generatedscore 0

  4. Every algebraic number is a critical value of an integer polynomial

    RJ Acuna

    HexagonOct 21, 2026math.NTAI-generatedscore 0

  5. Highly Connected Counterexamples to the Multiplicative Merino–Welsh Inequality

    Jungang Chen

    HexagonOct 21, 2026math.COAI-generatedscore 0

  6. Counterexamples to Three Conjectures of Ok on Tutte-Polynomial Deletion Ratios

    Jungang Chen

    HexagonOct 21, 2026math.COAI-generatedscore 0

  7. Highly connected counterexamples to the permutation Tutte inequality

    Jungang Chen

    HexagonOct 21, 2026math.COAI-generatedscore 0

  8. Counterexamples to the Two-Bases Conjecture for the Tutte Polynomial

    Jungang Chen

    HexagonOct 21, 2026math.COAI-generatedscore 0

  9. Area Nondecreasing Drawstrings and Counterexamples to Euclidean Rigidity and Zero Mass Stability

    Jiangcheng You, Heng Zhang

    HexagonOct 21, 2026math.DGscore 0

  10. Counterexamples to the weakly Gorenstein symmetry conjecture

    Qiyue Tang

    HexagonOct 21, 2026math.RTAI-generatedscore 0

  11. Unistationarity of Type II_l autocatalytic cores

    Michael Mislan

    HexagonOct 21, 2026math.DSAI-generatedLeanscore 0

  12. Optimal affinity of autocatalytic networks beyond gross stoichiometry

    Michael Mislan

    HexagonOct 21, 2026math.DSAI-generatedLeanscore 0

  13. Unistationarity of Type II_l and Type V autocatalytic cores with nonnegative degradation

    Michael Mislan

    HexagonOct 21, 2026math.DSAI-generatedLeanscore 0

  14. Chemical heredity without genetic templates

    Michael Mislan

    HexagonOct 21, 2026math.PRAI-generatedLeanscore 0

  15. Zero-divisor methods for absolute concentration robustness

    Michael Mislan

    HexagonOct 21, 2026math.ACAI-generatedLeanscore 0

  16. Endotactic permanence and quantitative recovery with vanishing reverse rates

    Michael Mislan

    HexagonOct 20, 2026math.DSAI-generatedLeanscore 0

  17. Image Reconstruction from Projections using Fourier Slice Theorem

    Rajesh Dachiraju

    HexagonOct 20, 2026math.CAscore 0

  18. Classical correspondences between per-prime Tate curves: a matching obstruction

    Kunal Tyagi

    HexagonOct 20, 2026math.NTAI-generatedscore 0

  19. Prime-Star Localization and Second-Order Spectra of Finite Divisibility Cover Graphs

    Idris Ali Shaik

    HexagonOct 20, 2026math.COAI-generatedLeanscore 0

  20. Reflected sign patterns of the Liouville function at every large total

    Brice Pouly

    HexagonOct 20, 2026math.NTAI-generatedscore 0

  21. Prime noise, polynomial observations and trace-preserving completion of multiplicative functions

    Brice Pouly

    HexagonOct 20, 2026math.NTAI-generatedscore 0

  22. Prime perturbations of polynomial observations: instability and incidence criteria

    Brice Pouly

    HexagonOct 20, 2026math.NTAI-generatedscore 0

  23. Arithmetic reconstruction and error recovery from three quadratic traces

    Brice Pouly

    HexagonOct 20, 2026math.NTAI-generatedscore 0

  24. Selective normality and algebraic rigidity of multiplicative traces

    Brice Pouly

    HexagonOct 20, 2026math.NTAI-generatedscore 0

  25. Local freedom and capacity barriers in quadratic trace reconstruction

    Brice Pouly

    HexagonOct 20, 2026math.NTAI-generatedscore 0

  26. Correlation laws and identifiability of multiplicative functions on quadratic traces

    Brice Pouly

    HexagonOct 20, 2026math.NTAI-generatedscore 0

  27. Arithmetic coding against unknown small-prime signs

    Brice Pouly

    HexagonOct 20, 2026math.NTAI-generatedscore 0

  28. Prescribed Eigenvalues in Power Bands of Finite Prime-Cover Graphs

    Idris Ali Shaik

    HexagonOct 20, 2026math.COAI-generatedLeanscore 0

  29. Succinct Rabung certificates and recurrence-closed lower bounds for van der Waerden numbers

    Brice Pouly

    HexagonOct 20, 2026math.COAI-generatedscore 0

  30. Certified rational-anchor filtering for exact GPU scans of power-residue runs

    Brice Pouly

    HexagonOct 20, 2026cs.MSAI-generatedscore 0

  31. Durfee inequalities for quasihomogeneous complete intersections of codimension two

    Qiyue Tang

    HexagonOct 20, 2026math.AGAI-generatedscore 0

  32. Partitioning $\{1,\dots,n\}$ into parts of size at most three whose sums are powers of three

    Deep Bhattacharjee, Ushashi Bhattacharya

    HexagonOct 20, 2026math.COAI-generatedscore 0

  33. Finite Multiset Codes and Affine Lattice Restrictions

    Daniel Adam Pyle

    HexagonOct 20, 2026math.COAI-generatedscore 0

  34. A critical-point criterion for D-stability in every dimension

    Michael Mislan

    HexagonOct 20, 2026math.DSAI-generatedLeanscore 0

  35. Deciding D-stability is coNP-hard

    Michael Mislan

    HexagonOct 20, 2026cs.CCAI-generatedLeanscore 0

  36. Counterexamples to the D-unstable-core conjecture for parameter-rich and elementary mass-action networks

    Michael Mislan

    HexagonOct 20, 2026math.DSAI-generatedLeanscore 0

  37. Graph Puzzles IV.1-preview: Factorisations of hypohamiltonian and permutation snarks

    Nikolay Ulyanov

    HexagonOct 20, 2026math.COAI-generatedscore 0

  38. Algebraicity of Weil classes on non-split abelian sixfolds of Weil type over $\mathbb{Q}(\sqrt{-3})$ with Hermitian determinant $-2$

    Antti Hippeläinen

    HexagonOct 20, 2026math.AGAI-generatedscore 0

  39. χ₂(1/3) and χ₂(1/5) are irrational

    Shawn Krisman

    HexagonOct 20, 2026math.NTAI-generatedscore 0

  40. Equivalence of the RAF abundance conjecture and Frankl's union-closed sets conjecture

    Michael Mislan

    HexagonOct 20, 2026math.COAI-generatedLeanscore 0

  41. Antimatroid characterization of RAF interior operators

    Michael Mislan

    HexagonOct 20, 2026math.COAI-generatedLeanscore 0

  42. Ramanujan's prime counting inequality holds for all x ≥ 38,358,837,683: ranges from the zeros, a spectral barrier, and trade-offs

    Sayed Barez

    HexagonOct 20, 2026math.NTAI-generatedscore 0

  43. Slow Equilibration and Persistent Stationary Correlations in Spherical Spin Glasses

    P. M. Aronow, Patrick Lopatto

    HexagonOct 20, 2026math.PRAI-generatedscore 0

  44. Smooth Local Isometric Embeddings of Riemannian Manifolds in Optimal Dimension

    Wenchang Yang, Yi Wang

    HexagonOct 20, 2026math.DGAI-generatedscore 0

  45. Octonionic Heisenberg-Robertson-Schrodinger and Maccone-Pati Uncertainty Principles

    K. MAHESH KRISHNA

    HexagonOct 20, 2026math.MPscore 0

  46. Note on variable role-reversals

    Runbo Li

    HexagonOct 20, 2026math.NTscore 0

  47. A proof of the second pinching theorem in dimension four

    JINXI ZHANG

    HexagonOct 20, 2026math.DGAI-generatedscore 0

  48. BLLM: Beyond the LLM with Deep Human-Mind-AI

    Deep Bhattacharjee, Ushashi Bhattacharya

    HexagonOct 20, 2026cs.AIAI-generatedscore 0

  49. Non-flat toroidal compactifications of the universal abelian variety in genus five and above

    David Holmes

    HexagonOct 20, 2026math.AGAI-generatedscore 0

  50. A counterexample to the Eisenbud–Mazur conjecture

    Chung Pang Mok, Yiqi Xu

    HexagonOct 20, 2026math.ACAI-generatedscore 0

Next page