Open Research Index

56,334 records

  1. Sums of primes, after Hardy and Littlewood 1923, Partitio Numerorum III, Theorems B to F proved without Hypothesis R

    Steve Hubbard

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  2. Conditional on RH: the Cesàro average of the number of Goldbach representations, after Goldston and Yang

    Steve Hubbard

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  3. Mann's alpha plus beta theorem for Schnirelmann density, after Mann 1942

    Steve Hubbard

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  4. Conditional on RH: the number of Goldbach representations on average, after Languasco and Zaccagnini

    Steve Hubbard

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  5. The Bombieri-Vinogradov theorem, Bombieri 1965 and A. I. Vinogradov 1965, classical form with the maximum over y <= x

    Steve Hubbard

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  6. Noncrossing Two-Nearest-Predecessor Orders on Nearly Circular Ellipses

    John Fairfax-Ball

    Palomar RegistryOct 22, 2026math.COmachine-checkedscore 0

  7. Renyi's theorem, Renyi 1948: every large even number is a prime plus a number with at most 8 prime factors

    Steve Hubbard

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  8. Szemerédi's theorem with random differences

    Gabriel Dahia

    Palomar RegistryOct 22, 2026math.COmachine-checkedscore 0

  9. The least physical dimension of an inflation-symmetric model set, with the cubic, quartic and degree-12 inflations of x^3 - x - 1 and x^4 - x - 1

    Stephanie Alexander

    Palomar RegistryOct 22, 2026math.MGmachine-checkedscore 0

  10. Sum of sets in several dimensions

    Gabriel Dahia

    Palomar RegistryOct 22, 2026math.COmachine-checkedscore 0

  11. An exact average Goldbach representation formula, after Goldston and Suriajaya

    Steve Hubbard

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  12. Helling's theorem: the maximal subgroups of SL₂(ℝ) commensurable with SL₂(ℤ)

    Filip Najman

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  13. Continuous open images of Polish spaces

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

    Palomar RegistryOct 22, 2026math.GNmachine-checkedscore 0

  14. The expander mixing lemma and the Alon–Boppana bound

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 22, 2026math.COmachine-checkedscore 0

  15. Cubic-rate irrationality for reciprocal sums

    Will Cook

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  16. Uniform sparse rationalisation of dyadic series

    Will Cook

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  17. Infinite rank of the three-prime running-LCM kernel

    Will Cook

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  18. An explicit rational-base irrationality region for Zudilin's Lambert series

    Will Cook

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  19. Carry and divisor-channel criteria for the factorial-minus-one reciprocal series

    Will Cook

    Palomar RegistryOct 22, 2026math.NTmachine-checkedscore 0

  20. Open Baire-space representation of Polish spaces

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

    Palomar RegistryOct 22, 2026math.GNmachine-checkedscore 0

  21. Alexandrov–Urysohn characterization of Baire space

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

    Palomar RegistryOct 22, 2026math.GNmachine-checkedscore 0

  22. The Bondy–Simonovits even cycle theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 22, 2026math.COmachine-checkedscore 0

  23. Sharp Quantitative Convergence of Compactly Supported Aggregation-Diffusion

    Yunhong Deng

    arXivOct 21, 2026math.APscore 0

  24. On Finite Groups with Element Order Set of Width 3

    Eric Min, Chloe So, Yong Yang, Eddy Zhang, Mengtian Zhang, Cody Zhou

    arXivOct 21, 2026math.GRscore 0

  25. A Jump-Modified Wasserstein Gradient Flow for Maximum Mean Discrepancy with Energy Kernels

    Ansh Desai, Jason Liu, Srujan Roplekar, Matthew Rosenzweig

    arXivOct 21, 2026math.APscore 0

  26. Affine $G$-multibiquandle modules for colored links I: representability of coloring functors and color-profile polynomials

    Sang Youl Lee

    arXivOct 21, 2026math.GTscore 0

  27. A logarithmic regularity criterion for the axisymmetric Navier-Stokes equations

    Stan Palasek

    arXivOct 21, 2026math.APscore 0

  28. On the Number of Iterations in a Kruskal-Type Process

    Samuel G. Corregidor

    arXivOct 21, 2026math.COscore 0

  29. Isotropy sets of periodic geodesic flows on three dimensional manifolds

    Jakob Dittmer

    arXivOct 21, 2026math.DGscore 0

  30. Zeros of quadratic Dirichlet $L$-functions

    Dave Platt, Tim Trudgian

    arXivOct 21, 2026math.NTscore 0

  31. Neural Vector Field Transformations: Learning the Flow of Autonomous Systems by Conjugation to Explicitly Integrable Reference Flows

    Andrew Qing He

    arXivOct 21, 2026math.DSscore 0

  32. Stability for the adjoint Finner inequality and improved lower bounds on the $k$-plane transform

    Jonathan Bennett, Sewook Oh

    arXivOct 21, 2026math.CAscore 0

  33. Every tournament of dichromatic number $10 k^2$ has a vertex whose out-neighborhood has dichromatic number more than $k$

    Seokbeom Kim, Sang-il Oum

    arXivOct 21, 2026math.COscore 0

  34. Non-trivial intersecting families for direct products

    Jian Wang, Biao Wu, Huajun Zhang

    arXivOct 21, 2026math.COscore 0

  35. Proofs of Li, Wang and Guo's conjectures on (signless) Laplacian spectral radius

    Hongzhang Chen, Jianxi Li, Xiaoyun Lv

    arXivOct 21, 2026math.COscore 0

  36. Ramified convolution and monodromy bases for symmetrizable Kac--Moody algebras

    Jiarui Fei

    arXivOct 21, 2026math.RTscore 0

  37. Free energy and fluctuations of generalized bipartite Sherrington-Kirkpatrick models and generalized Hopfield models

    Hyunsuk Choo, Ji Oon Lee

    arXivOct 21, 2026math.PRscore 0

  38. General Criterion for a Poset to Admit a Partition Into $ω$-Chains

    Remi Salinas Schmeis

    arXivOct 21, 2026math.COscore 0

  39. Time-periodic solutions of an SIS epidemic model

    Fang Li, Pengfei Song, Kexin Zhang, Maolin Zhou

    arXivOct 21, 2026math.APscore 0

  40. Pontryagin-Thom, $π_0$ of the motivic sphere, and principal quadratic divisors

    Kyle Ormsby

    arXivOct 21, 2026math.ATscore 0

  41. Construction of Galois modules describing ideal class groups and applications to Iwasawa theory

    Takenori Kataoka

    arXivOct 21, 2026math.NTscore 0

  42. Inviscid Limit Problem for Radially Symmetric Stationary States of Viscous and Heat-Conductive Ideal Gas

    Itsuko Hashimoto

    arXivOct 21, 2026math.APscore 0

  43. Widom asymptotics for spatial compressions of Schrödinger spectral projections

    Pan Ma, Daoyuan Zheng

    arXivOct 21, 2026math-phscore 0

  44. Refined Cramér-type moderate deviations by Stein's method under dependence

    Hui-Lin Liu, Song-Hao Liu, Dawei Lu

    arXivOct 21, 2026math.PRscore 0

  45. Isolated Singularities of k-Hessian Equations

    Shiguang Ma, Shengyang Zang

    arXivOct 21, 2026math.APscore 0

  46. Pappus configurations in the Hall plane

    Stefano Lia, John Sheekey, Geertrui Van de Voorde

    arXivOct 21, 2026math.COscore 0

  47. Rigidity of Pseudoconvex Neighborhoods and Ohsawa--Takegoshi Extension

    Takayuki Koike, Masakazu Takakura

    arXivOct 21, 2026math.CVscore 0

  48. Optimal Dividends and Proactive Capital Injection over a Finite Horizon

    Ran Xu, Zuo Quan Xu, Xueying Zhang

    arXivOct 21, 2026math.OCscore 0

  49. Mixed sums of infinite multiple zeta-star values with restricted indices

    Jiangtao Li, Siyu Yang

    arXivOct 21, 2026math.NTscore 0

  50. Conditional Reflected Backward Stochastic Differential Equations

    Hanwu Li

    arXivOct 21, 2026math.PRscore 0

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