Mathematics papers

Pofolia organises Mathematics into 10 subfields: 648 papers in total (2012–2026), each with a short summary. The subfields come first, then the most-cited work across the whole field.

Subfields

At a glance

  • Most cited: lmerTest Package: Tests in Linear Mixed Effects Models (2017, 23,710 citations).
  • The 12 papers listed have 151,226 citations between them.
  • 5 of the 5 with a known journal quartile appeared in a Q1 journal.
  • 5 have a free full text (open access).
  • Most frequent journals: Journal of Statistical Software, Anesthesia & Analgesia, Princeton University Press eBooks.
  • Published between 2012 and 2025.

Most cited across the field

Ranked by citation count. Because citations accumulate over time, this list naturally leans towards work published a few years ago; for where the field is now, see “recently added”.

  • lmerTest Package: Tests in Linear Mixed Effects Models

    Journal of Statistical Software · 2017 · Q1 · SJR 3.00 · FWCI 1076.75 · 23,710 citations · Open access

    The lmerTest R package now provides p-values for F and t tests in linear mixed effects models, addressing a common user need for the lme4 package's lmer function.

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  • Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences

    Psychology Press eBooks · 2014 · FWCI 232.26 · 20,892 citations

    This classic text offers a non-mathematical, applied approach to multiple regression analysis, focusing on verbal-conceptual exposition and practical data analysis for behavioral sciences.

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  • Fractional Differential Equations

    2025 · FWCI 152.67 · 20,501 citations · Open access

    Fractional calculus, using integrals and derivatives of fractional order, is gaining traction for modeling phenomena with memory effects, offering superior tools for time-dependent effects compared to traditional integer-order calculus.

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  • emcee: The MCMC Hammer

    Publications of the Astronomical Society of the Pacific · 2013 · Q1 · SJR 2.00 · FWCI 219.66 · 11,975 citations · Open access

    A new Python implementation of the affine-invariant ensemble sampler for Markov chain Monte Carlo (MCMC) called emcee is introduced, offering improved performance and requiring fewer parameters to tune than traditional methods.

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  • A Mathematical Theory of Evidence

    Princeton University Press eBooks · 2020 · FWCI 114.25 · 11,892 citations

    This book constructs a new theory of epistemic probability by building on an abstract understanding of how facts are combined, diverging from Dempster's viewpoint by identifying his 'upper and lower probabilities' as fundamental.

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  • Applied Multivariate Statistics for the Social Sciences

    2012 · FWCI 147.54 · 10,705 citations

    This is a textbook designed for social science students and researchers who need to apply advanced statistical methods without necessarily developing them.

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  • Correlation Coefficients: Appropriate Use and Interpretation

    Anesthesia & Analgesia · 2018 · Q1 · SJR 1.00 · FWCI 341.12 · 10,519 citations

    This tutorial guides researchers and clinicians on the appropriate use and interpretation of correlation coefficients, specifically Pearson and Spearman, to measure associations between variables.

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  • brms : An R Package for Bayesian Multilevel Models Using Stan

    Journal of Statistical Software · 2017 · Q1 · SJR 3.00 · FWCI 319.75 · 9,492 citations · Open access

    The brms package in R provides a flexible framework for fitting complex Bayesian multilevel models using the Stan probabilistic programming language.

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  • emmeans: Estimated Marginal Means, aka Least-Squares Means

    2017 · 8,335 citations

    The 'emmeans' R package provides a unified framework for obtaining estimated marginal means (EMMs) and performing post-hoc analyses for a wide range of linear, generalized linear, and mixed models.

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  • Generalized Additive Models

    2017 · FWCI 110.84 · 8,008 citations

    This book serves as a leading, introductory reference for Generalized Additive Models (GAMs), offering practical examples and software implementation.

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  • WHO Declares COVID-19 a Pandemic.

    PubMed · 2020 · FWCI 207.35 · 7,772 citations

    The World Health Organization (WHO) officially declared the novel coronavirus (COVID-19) outbreak a global pandemic on March 11, 2020.

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  • Stan : A Probabilistic Programming Language

    Journal of Statistical Software · 2017 · Q1 · SJR 3.00 · FWCI 540.93 · 7,425 citations · Open access

    Stan is a new probabilistic programming language designed for specifying statistical models and performing Bayesian inference. It offers full Bayesian inference via advanced Markov chain Monte Carlo methods and penalized maximum likelihood estimates through optimization algorithms.

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