Open Research Index

56,334 records

  1. Superfluid Stiffness and Nonclassical Rotational Inertia of the Dilute Hard-Sphere Bose Gas

    P. M. Aronow, Patrick Lopatto

    HexagonOct 22, 2026math.MPAI-generatedscore 0

  2. Small algebraic integers and Frobenius prime sums

    Scott Kominers

    HexagonOct 22, 2026math.NTAI-generatedscore 0

  3. Cross-Energy of Dirichlet Partial Sums. Part 9: Zeros of the prime zeta function in its half-plane of absolute convergence

    Pedro Caceres

    HexagonOct 22, 2026math.NTAI-generatedscore 0

  4. Faster-than-power-law decay of order parameter correlations in the two-dimensional RP2 model: a rigorous result by vibe-proving

    Masaki Oshikawa

    HexagonOct 22, 2026math-phAI-generatedLeanscore 0

  5. Lehmer's totient problem with fewer than sixteen prime factors

    Deep Bhattacharjee

    HexagonOct 22, 2026math.NTAI-generatedscore 0

  6. The book Ramsey number $R(B_{57},B_{58})=231$

    Deep Bhattacharjee

    HexagonOct 22, 2026math.COAI-generatedscore 0

  7. Reflexive Descent to Minimal Seeds in the Kreuzer--Skarke List

    Deep Bhattacharjee, Ushashi Bhattacharya

    HexagonOct 22, 2026math.COAI-generatedscore 0

  8. Projective-plane determinant bounds for sparse binary matrices

    John Tripodo

    HexagonOct 22, 2026math.COAI-generatedscore 0

  9. A 15/16 zero-free half-plane for angular Hecke L-functions over the Eisenstein field

    Troy Winarski

    HexagonOct 22, 2026math.NTAI-generatedscore 0

  10. All $\tau_k$-maximal graphs have the same size

    Deep Bhattacharjee

    HexagonOct 22, 2026math.COAI-generatedscore 0

  11. Two conjectures of Wormald on Hamilton cycles in tournaments

    Deep Bhattacharjee

    HexagonOct 22, 2026math.COAI-generatedscore 0

  12. An explicit elementary proof of no Landau--Siegel zeros

    Victor Z. Guo

    HexagonOct 22, 2026math.NTAI-generatedscore 0

  13. Asymptotically optimal degree for the double Hall property

    John Tripodo

    HexagonOct 22, 2026math.COAI-generatedscore 0

  14. Non-Archimedean Smale Mean Value and Dubinin–Sugawa Dual Mean Value Problems

    K. MAHESH KRISHNA

    HexagonOct 22, 2026math.NTscore 0

  15. Ramsey’s Theorem for Pairs in Pincus’s Model XI

    Frank Gilson

    HexagonOct 22, 2026math.LOAI-generatedscore 0

  16. Nonexistence of lim Cohen–Macaulay modules following [Che26] and [Ang26]

    Andy Jiang

    HexagonOct 22, 2026math.ACAI-generatedscore 0

  17. Exceptional zeros of Hecke $L$-functions

    Christopher Frei, Wataru Kai

    HexagonOct 22, 2026math.NTscore 0

  18. Finiteness of Planar Central Configurations for Five Positive Masses

    Chih-Yao Wu

    HexagonOct 22, 2026math.DSAI-generatedscore 0

  19. Arithmetic of Jacobi polynomials

    Khai Hoan Nguyen Dang

    HexagonOct 22, 2026math.GMAI-generatedscore 0

  20. A truncated theta-type series with triangular weights

    Manjil Saikia

    HexagonOct 22, 2026math.NTAI-generatedscore 0

  21. Gluing defects for projected coarse graining in finite spin-foam models

    Zhenyu Sun

    HexagonOct 22, 2026math.MPscore 0

  22. Supersymmetric Yang--Mills theories with several times reduce to ten dimensions

    Deep Bhattacharjee

    HexagonOct 22, 2026math-phAI-generatedscore 0

  23. The Welch function is not third-order sum-free

    Deep Bhattacharjee

    HexagonOct 22, 2026math.NTAI-generatedscore 0

  24. The minimum number of distinct abelian squares in a binary circular word

    Deep Bhattacharjee

    HexagonOct 22, 2026math.COAI-generatedscore 0

  25. Even-intersecting families of lattice paths and the Catalan numbers

    Deep Bhattacharjee

    HexagonOct 22, 2026math.COAI-generatedscore 0

  26. The bridge index and the nonorientable four-genus of knots with at most thirteen crossings

    Deep Bhattacharjee

    HexagonOct 22, 2026math.GTAI-generatedscore 0

  27. Weil classes on abelian sixfolds of Weil type for $\mathbb{Q}(i)$ with discriminant $-3$

    Benjamin Severn

    HexagonOct 22, 2026math.AGAI-generatedscore 0

  28. The Number of Terms in Greedy Fibonacci--Lucas Representations

    Deep Bhattacharjee, Ushashi Bhattacharya

    HexagonOct 22, 2026math.NTAI-generatedscore 0

  29. Densest packings of two translates of a lattice in five dimensions

    Deep Bhattacharjee, Ushashi Bhattacharya

    HexagonOct 22, 2026math.MGAI-generatedscore 0

  30. Nilpotent-free spaces of 3 x 3 matrices over the field with three elements

    Deep Bhattacharjee

    HexagonOct 22, 2026math.RAAI-generatedscore 0

  31. A counterexample to Liu's conjecture on Fano indices in dimension four

    Deep Bhattacharjee, Ushashi Bhattacharya

    HexagonOct 22, 2026math.AGAI-generatedscore 0

  32. The Real-Rooting Time Of Heat-Evolved Random Polynomials

    Bingo Baggins

    HexagonOct 22, 2026math.PRAI-generatedscore 0

  33. The strong Choquet characterization of Polish spaces

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 22, 2026math.GNmachine-checkedscore 0

  34. Romanov's theorem: the integers of the form p + 2^k have positive lower density, with Erdős' complement, after Romanov 1934 and Erdős 1950

    Steve Hubbard

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  35. Brun's theorem: the sum of the reciprocals of the twin primes converges, after Brun 1919, with the twin prime upper bound and every even gap

    Steve Hubbard

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  36. The 50-color theorem for t-perfect graphs

    Sang-il Oum

    Palomar RegistryOct 22, 2026math.COmachine-checkedscore 0

  37. Schnirelmann's theorem: every integer n >= 2 is a sum of at most 30772 primes, after Schnirelmann 1933

    Steve Hubbard

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  38. Ramanujan congruences for the partition function

    Carter Hastings

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  39. Classical Liénard equations of degree n ≥ 6 can have floor((n−1)/2)+4 limit cycles

    Michael Mislan

    Palomar RegistryOct 22, 2026math.DSmachine-checkedscore 0

  40. A formal proof that crown graphs maximise the representation number of bipartite graphs

    Matthew J. Colbrook, Catherine Drysdale

    Palomar RegistryOct 22, 2026math.COmachine-checkedscore 0

  41. A universal group with thirteen relators

    Qiuyu Ren

    Palomar RegistryOct 22, 2026math.GRmachine-checkedscore 0

  42. The fourth consecutive Dirichlet eigenvalue ratio

    Jiachen Shi, Quanyu Tang

    Palomar RegistryOct 22, 2026math.SPmachine-checkedscore 0

  43. Fixed-force anomalous dissipation

    Tao Tao, Baishu Zeng, Haiqi Zhang

    Palomar RegistryOct 22, 2026math.APmachine-checkedscore 0

  44. Dimension growth, polynomial in the degree (Castryck–Cluckers–Dittmann–Nguyen)

    Jason Davies

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  45. The Erdős–Szemerédi sunflower conjecture

    Matija Bucić, Fankang He, Hyunwoo Lee

    Palomar RegistryOct 22, 2026math.COmachine-checkedscore 0

  46. Counting Steiner triple systems: Wilson (1974) and Linial–Luria (2013)

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 22, 2026math.COmachine-checkedscore 0

  47. Analysis of a left-shift binary GCD algorithm (Shallit–Sorenson 1994), with a proof of its sum-of-squares conjecture

    Jason Davies

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  48. Continuity of the phase transition for planar random-cluster and Potts models with 1 <= q <= 4 (Theorems 1, 2 and 3)

    Zijie Zhuang

    Palomar RegistryOct 22, 2026math.PRmachine-checkedscore 0

  49. Shelah's bound for the Hales–Jewett numbers

    Gabriel Dahia

    Palomar RegistryOct 22, 2026math.COmachine-checkedscore 0

  50. Iwaniec's linear sieve at the sifting limit and Jacobsthal's problem

    Jason Davies

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

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