The Mathematical Work of Morgan Ward

DOI10.2307/2152955zbMath0778.01014OpenAlexW4246551937MaRDI QIDQ3137469

D. H. Lehmer

Publication date: 1 November 1993

Full work available at URL: http://www.ams.org/journals/mcom/1993-61-203/S0025-5718-1993-1182245-3/home.html

zbMATH Keywords

Scientific work

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of number theory (11-03)

Cites Work

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• The mappings of the positive integers into themselves which preserve division
• The vanishing of the homogeneous product sum of the roots of a cubic
• The vanishing of the homogeneous product sum on three letters
• Tests for primality based on Sylvesters cyclotomic numbers
• The linear \(p\)-adic recurrence of order two
• The linear form of numbers represented by a homogeneous polynomial in any number of variables
• Some arithmetical properties of sequences satisfying a linear recursion relation
• The algebra of recurring series
• The prime divisors of Fibonacci numbers
• On the factorization of polynomials to a prime modulus
• The null divisors of linear recurring series
• Arithmetic functions on rings
• Residuation in structures over which a multiplication is defined
• Arithmetical properties of sequences in rings
• Structure residuation
• Evaluations over residuated structures
• The lattice theory of ova
• The algebra of lattice functions
• Residuated distributive lattices
• Euler's problem on sums of three fourth powers
• The law repetition of primes in an elliptic divisibility sequence
• Prime divisors of second order recurring sequences
• The closure operators of a lattice
• The intrinsic divisors of Lehmer numbers
• The Laws of Apparition and Repetition of Primes in a Cubic Recurrence
• The Calculation of the Complete Elliptic Integral of the Third Kind
• On the Behavior of Non-Static Models of the Universe When the Cosmological Term is Omitted
• Conditions for the Solubility of the Diophantine Equation x 2 - My 2 = - 1
• The Characteristic Number of a Sequence of Integers Satisfying a Linear Recursion Relation
• The Distribution of Residues in a Sequence Satisfying a Linear Recursion Relation
• The Cancellation Law in the Theory of Congruences to a Double Modulus
• A Type of Multiplicative Diophantine System
• A Property of Recurring Series
• The Arithmetical Theory of Linear Recurring Series
• The Representation of Stirling's Numbers and Stirling's Polynomials as Sums of Factorials
• Note on the period of a mark in a finite field
• Note on the iteration of functions of one variable
• A Determination of all Possible Systems of Strict Implication
• An arithmetical property of recurring series of the second order
• An Enumerative Problem in the Arithmetic of Linear Recurring Series
• The Diophantine Equation X 2 - DY 2 = Z m
• A Calculus of Sequences
• The continuous iteration of real functions
• Note on divisibility sequences
• Linear Divisibility Sequences
• Some Arithmetical Applications of Residuation
• The Law of Apparition of Primes in a Lucasian Sequence
• A note on divisibility sequences
• Note on the General Rational Solution of the Equation ax 2 - by 2 = z 3
• Residuated Lattices
• Ring Homomorphisms which are Also Lattice Homomorphisms
• A characterization of Dedekind structures
• Memoir on Elliptic Divisibility Sequences
• Note on a paper by C. E. Rickart
• Arithmetical Properties of the Elliptic Polynomials Arising from the Real Multiplication of the Jacobi Functions
• Arithmetical Properties of Polynomials Associated with the Lemniscate Elliptic Functions
• A Class of Soluble Diophantine Equations
• Cyclotomy and the Converse of Fermat's Theorem
• The Maximal Prime Divisors of Linear Recurrences
• Euler's Three Biquadrate Problem
• On the Number of Vanishing Terms in an Integral Cubic Recurrence
• A characterization of Boolean algebras

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