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Mathematics of Computation

Digital content for Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.
Contents of Volume 95, Number 362
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  • On Galois inertial types of elliptic curves over $\mathbb {Q}_p$
    Primary MSC: 11G07, 11F70; Secondary MSC: 11G07, 11F70
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4107
    PDF
  • Erratum to “The reciprocal sums of pseudoprimes and Carmichael numbers”
    Primary MSC: 11N25, 11N37
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4122
    PDF
  • Bohr sets generated by polynomials and Coppersmith’s method in many variables
    Primary MSC: 11J71, 11L07, 11Y16, 68Q25
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4001
    PDF
  • Algebraic norm and $p$-class group capitulations in totally ramified cyclic $p$-extensions
    Primary MSC: 11R29, 11R18, 11R37, 12Y05
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/3920
    PDF
  • Fully-discrete cell entropy inequality of third-order explicit Runge-Kutta discontinuous Galerkin method for nonlinear conservation laws
    Primary MSC: 65M60, 65M12
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4242
    PDF
  • Box progressions, abelian power-free morphisms and a sieving for the template method
    Primary MSC: 68R15, 68R05, 11B25
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4246
    PDF
  • Fast numerical approximation of linear, second-order hyperbolic problems using model order reduction and the Laplace transform
    Primary MSC: 35L05, 65M12, 65Y20, 44A10
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4226
    PDF
  • A geometric framework for stochastic iterations
    Primary MSC: 47N10, 90C15, 90C48, 47J26, 62L20
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4230
    PDF
  • On decomposability and subdifferential of the tensor nuclear norm
    Primary MSC: 15A60, 15A69, 62B10, 68Q25, 90C25
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4240
    PDF
  • Decomposing a factorial into large factors
    Primary MSC: 11A51
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4249
    PDF
  • Asymptotic numerical hypocoercivity of the space-time discontinuous Galerkin method for Kolmogorov equation
    Primary MSC: 65N30, 78M10, 65N15
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4261
    PDF
  • Constructive quasi-uniform sequences over triangles
    Primary MSC: 52C17; Secondary MSC: 52C17
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4259
    PDF
  • Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems
    Primary MSC: 65M60, 65M12, 35K57, 35Q92
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4256
    PDF
  • Numerical computations concerning Landau-Siegel zeros
    Primary MSC: 11M20; Secondary MSC: 11M20
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4268
    PDF
  • Interpolated drift implicit Euler MLMC method for barrier option pricing and application to CIR and CEV models
    Primary MSC: 60H10, 60H35, 65C05, 65C30, 33C15, 41A60
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4262
    PDF
  • On the quasi-uniformity properties of quasi-Monte Carlo point sets and sequences–Part II: Digital nets and sequences
    Primary MSC: 05B40, 11K36, 11K45, 52C15, 52C17
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4263
    PDF
  • On dense tetrahedra in binary sphere packings
    Primary MSC: 52C17, 65G30, 68V05
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4265
    PDF
  • Sufficient conditions for strong discrete maximum principles in finite element solutions of linear and semilinear elliptic equations
    Primary MSC: 65N30
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4270
    PDF
  • The computation of higher order Alexander invariants
    Primary MSC: 57K10; Secondary MSC: 57K10
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4271
    PDF
  • Convergence analysis of a stochastic interacting particle-field algorithm for 3D parabolic-parabolic Keller-Segel systems
    Primary MSC: 35K51, 65C05, 65M12, 65M75, 65T50
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4276
    PDF
  • On canonical roots of fractional ideals
    Primary MSC: 11Y16; Secondary MSC: 11Y16
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4273
    PDF
  • Stability of the variable two-step BDF scheme for parabolic equations under a sharp ratio condition
    Primary MSC: 65M06, 35B65
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4275
    PDF
  • Comparing Galois representations in the residually reducible case
    Primary MSC: 11F80, 11Y40; Secondary MSC: 11F80, 11Y40
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4274
    PDF
  • An adaptive delaminating Levin method in two dimensions
    Primary MSC: 65D30, 65N35
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4272
    PDF
  • The Hessian of elliptic curves as a Lattès map
    Primary MSC: 14H52, 37P05; Secondary MSC: 14H52, 37P05
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4277
    PDF
  • A wave front tracking scheme for flux reconstruction in $2 \times 2$ hyperbolic conservation laws
    Primary MSC: 35L65, 35R30, 65M32
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4278
    PDF
  • Computing with necklaces on elliptic curves
    Primary MSC: 11G05, 11G18, 11Y99
    Math. Comp.
    DOI: https://doi.org/10.1090/mcom/4279
    PDF
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Contents of Volume 54, Number 189
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On an integer’s infinitary divisors
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Math. Comp. 54 (1990), 395-411
DOI: https://doi.org/10.1090/S0025-5718-1990-0993927-5
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Abstract
The notions of unitary divisor and biunitary divisor are extended in a natural fashion to give k-ary divisors, for any natural number k. We show that we may sensibly allow k to increase indefinitely, and this leads to infinitary divisors. The infinitary divisors of an integer are described in full, and applications to the obvious analogues of the classical perfect and amicable numbers and aliquot sequences are given.

Enhancements:

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  • Graeme L. Cohen
  • © Copyright 1990 American Mathematical Society
  • Journal: Math. Comp. 54 (1990), 395-411
  • MSC: Primary 11A25; Secondary 11A05
  • DOI: https://doi.org/10.1090/S0025-5718-1990-0993927-5
  • MathSciNet review: 993927

Editorial Board Past Editorial Board Members

 

  • Editorial Committee

  • Susanne C. Brenner
    Center for Computation & Technology and
    Department of Mathematics
    Louisiana State University
  • Michael J. Mossinghoff
    Center for Communications Research
    Princeton
  • Michael J. Neilan
    Managing Editor
    Department of Mathematics
    University of Pittsburgh
  • Valeria Simoncini
    Dipartimento di Matematica
    Università di Bologna

  • Associate Editors

  • Paola F. Antonietti
    Dipartimento di Matematica
    Politecnico di Milano
  • Markus Bachmayr
    Institut für Geometrie und Praktische Mathematik
    RWTH Aachen
  • Jennifer Balakrishnan
    Department of Mathematics and Statistics
    Boston University
  • Soren Bartels
    Department of Applied Mathematics
    Albert-Ludwigs-University
  • Laurent Bartholdi
    Institut Camille Jordan
    Université Claude Bernard Lyon 1
  • Ernesto G. Birgin
    Department of Computer Science
    University of São Paulo
  • Martin Burger
    Department Mathematik
    Friedrich-Alexander-Universität Erlangen-Nürnberg
  • Coralia Cartis
    Mathematical Institute
    University of Oxford
  • Elena Celledoni
    Department of Mathematical Sciences
    Norwegian University of Science and Technology
  • Théophile Chaumont-Frelet
    Inria and Laboratoire Paul Painlevé
    University of Lille
  • Alan Demlow
    Department of Mathematics
    Texas A&M University
  • Alicia Dickenstein
    Departamento de Matemática, FCEN
    University of Buenos Aires
  • Virginie Ehrlacher
    CERMICS
    Ecole Nationale des Ponts et Chaussées
  • Patrick Farrell
    Mathematical Institute 
    University of Oxford
  • Kevin Hare
    Department of Pure Mathematics 
    University of Waterloo
  • Lili Ju
    Department of Mathematics
    University of South Carolina
  • Manuel Kauers
    Institute for Algebra
    Johannes Kepler University
  • Jurgen Kluners
    Department of Mathematics
    Paderborn University
  • Frances Kuo
    University of New South Wales
  • Frédéric Lagoutière
    Institut Camille Jordan
    Université Lyon 1 Claude Bernard
  • Buyang Li
    Department of Applied Mathematics 
    The Hong Kong Polytechnic University
  • Fengyan Li
    Department of Mathematical Sciences 
    Rensselaer Polytechnic University
  • Jens Markus Melenk
    Institute of Analysis and Scientific Computing
    Technische Universität Wien
  • Steffen Müller
    Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence
    University of Groningen
  • Houman Owhadi
    Department of Computing and Mathematical Sciences
    California Institute of Technology
  • Daniel Peterseim
    Institute of Mathematics 
    University of Augsburg
  • Robert Scheichl
    Institute for Applied Mathematics
    University of Heidelberg 
  • Thomas D. Trogdon
    Department of Applied Mathematics
    University of Washington
  • Timothy Trudgian
    Department of Mathematics
    University of New South Wales

The editorial office for Mathematics of Computation can be contacted by email or by postal mail to the Electronic PrePress Department, American Mathematical Society, 201 Charles Street, Providence, RI 02904-2213 USA.

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