3 citations · 4 across the 4 of their papers we have counts for
4 papers
A Generic Polynomial for the Alternating Group
Gene Ward Smith
The methods of classical invariant theory are used to construct generic polynomials for groups and , along with explicit reductions to specializations of the generic pol…
On a function of Marcel Riesz
Gene Ward Smith
Formulas for calculating the Riesz function, introduced by Marcel Riesz in connection with the Riemann hypothesis, are derived; and the behavior of the Riesz function is discussed.
Families of Unramified Extensions of Number Fields
Gene Ward Smith
Algebraic methods are used to construct families of unramified abelian extensions of some families of number fields with specified Galois groups.
The Chebyshev Exponent
Gene Ward Smith
The analogy between the nth power function and the nth Chebyshev polynomial is pursued, leading to consideration of Chebyshev radicals as analogous to ordinary radicals and Chebysh…