What is Problem Mining? This is a tool based on data of arXiv.org which periodically scans packets of full texts of papers hosted on arXiv and available through arXiv's bulk data access policy, with the aim to automatically detect papers containing discussions on open problems or conjectures. It then creates a list from the detected papers putting together papers' descriptive data and some short snippets extracted from the full texts displaying an information on open problems or conjectures presented in the paper. The papers appearing on this list are only references to the arXiv's versions and we do NOT store the actual papers (TeX sources or PDFs) on our servers. To read any of the papers in this list one needs to follow the arXiv link displayed on the papers' blocks.

You can search within the list using keywords, author names, and subject area. By a simple click of the Interesting button, you may anonymously indicate your interest in the problem. If you think the automatic extraction resulted in incorrect data, you may click on the False positive button instead. The Stats section shows the worldwide interest by our users on a specific problem.

  • Numerical analysis of a family of optimal distributed control problems governed by an elliptic variational inequality


    year of publication: 2015 arXiv

    • Numerical Analysis

    MSC 2010: 35J86 35R35 49J20 49M25 65K15 65N30

  • Geometric constraints on the space of N=2 SCFTs II: Construction of special Kähler geometries and RG flows


    year of publication: 2015 arXiv

  • On the spectra of hypermatrix direct sum and Kronecker products constructions


    year of publication: 2015 arXiv

    • Spectral Theory
  • New Physics Patterns in $\varepsilon^\prime/\varepsilon$ and $\varepsilon_K$ with Implications for Rare Kaon Decays and $ΔM_K$


    year of publication: 2015 arXiv

  • On pairs of p-adic L-functions for weight two modular forms


    year of publication: 2015 arXiv

    • Number Theory
  • Pullbacks and nontriviality of associated noncommutative vector bundles


    year of publication: 2015 arXiv

    • K-Theory and Homology
  • Positivity of GIT heights of zero-cycles and hyperplane arrangements


    year of publication: 2015 arXiv

    • Algebraic Geometry
    • Number Theory

    MSC 2010: 11G50 14G40

  • Conditionally Extended Validity of Perturbation Theory: Persistence of AdS Stability Islands


    year of publication: 2015 arXiv

    • Mathematical Physics
  • Ranges of Unitary Divisor Functions


    year of publication: 2015 arXiv

    • Number Theory

    MSC 2010: 11A25 11B05

  • Mazur's principle for U(1,d)


    year of publication: 2015 arXiv

    • Number Theory
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