## Leonard Carlitz' Ph.D. students

1940, Ernest Franklin Canaday,

*The sum of the divisors of a polynomial*.

1941, Herbert Leonard Lee, *Power sums of polynomials in a Galois field*.

1941, Luther Irwin Wade Jr., *Certain quantities transcendental over the field **GF*[*p*^{n}, *x*].

1942, Theodore Samuel George, *Concerning the equilibrium point of the Green's function for an n-dimensional spherical annulus*.

1947, Eckford Cohen, *Sums of an even number of squares in **GF*[*p*^{n}, *x*].

1950, James R Garrett, *Normal equations and resolvents in fields of characteristic p*.

1951, Joseph A Silva, *Representation of arithmetic functions in **GF*[*p*^{n}, *x*] *with values in an arbitrary field*.

1951, Stephen M Spencer Jr., *Transcendental numbers over certain function fields*.

1953, Gordon Cleaves Byers, *Class number formulas for quadratic forms over **GF*[*q*, *x*].

1954, Frank R Olson, *Arithmetic properties of Bernoulli numbers of higher order*.

1954, Robert G Pohrer, *On the solution of equations in a finite field*.

1955, John H Hodges, *Some matric equations in a finite field*.

1957, Harry Herbert Corson III, *Systems of equations in a finite field*.

1957, J Robert Johnson, Jr., *Congruence properties of certain difference equations*.

1958, Waleed A Al-Salam, *The Bessel polynomials and some related functions*.

1960, Harlan Riley Stevens, *The Hurwitz product of sequences satisfying a generalized Kummer's congruence*.

1962, Robert Merriman McConnel, *Pseudo-ordered polynomials over a finite field*.

1963, David Ryan Hayes, *The distribution of irreducibles in **GF*[*q*, *x*].

1963, Robert Guy Van Meter, *The number of solutions of certain systems of equations in a finite field*.

1963, Stephan Robert Cavior, *Equivalence classes of functions over a finite field*.

1965, Andrew Fleming Long Jr., *Factorable polynomials in several indeterminates over a finite field*.

1965, Charles Alexander Church Jr., *Some permutations with restricted positions*.

1965, Charles Frederick Wells, *Permutation polynomials over finite fields*.

1965, David Paul Roselle, *Generalized Eulerian functions and a problem in partitions*.

1965, Korandattil Venugopalan Menon, *Inequalities for symmetric functions*.

1965, Nadhla Abdul-Halim Al-Salam, *A class of hypergeometric polynomials*.

1965, Robert Dutton Fray, *Congruence properties and generating functions*.

1966, Fredric Timothy Howard, *A sequence of numbers related to the exponential function*.

1967, Lois Jean Reid, *Operational equations for some symmetric q-polynomials*.

1968, John Timoth Anderson, *A generalization of the Bernoulli and Stirling numbers*.

1969, Carl George Wagner, *Interpolation polynomials over the function fields **GF*(*q*, *x*).

1969, Roger Connell Grimson, *Enumeration of rectangular arrays*.

1969, William Calvin Dunning, *On the solution of cubic equations in a finite field*.

1970, Humphrey Hadon Nash, *Single variable Bell polynomials*.

1971, David Corey Kurtz, *Concavity and asymptotic properties of arrays of numbers*.

1971, Henry Gordon Williams Jr., *An extension of the Simon Newcomb problem*.

1971, James Richard Krabill, *Generalized Dedekind-Rademacher sums*.

1971, Richard Howard Hudson, *On the distribution of quadratic residues and non-residues*.

1972, Anthony Edward Barkauskas, *Analytic and algebraic properties of Lommel polynomials.*

1972, Margaret Jones Hodel, *Enumeration of certain sequences*.

1972, Theresa Phillips Vaughan, *Linear transformations and polynomials over finite fields*.

1973, Elaine Elliston Alexander, *Stirling and Eulerian operators*.

1974, Frances Chevarley Edmonds, *Enumeration of rectangular arrays of a given size*.

1974, Morris, Stephen Brent, *Permutations by cutting and shuffling - a generalization to q-dimension*

1977, Jo Ann Lutz, *Correspondences and admissible polynomials*.

JOC/EFR October 2015

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https://www-history.mcs.st-andrews.ac.uk/Extras/Carlitz_students.html