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- Publications
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Class groups, totally positive units, and squares
- H. M. Edgar, R. Mollin, B. L. Peterson
- Mathematics
- 1986
Given a totally real algebraic number field K, we investigate when totally positive units, U?, are squares, u£. In particular, we prove that the rank of U? /Uji is bounded above by the minimum of (1)… Expand
Some Remarks on the Diophantine Equation x 3 + y 3 + z 3 = x + y + z
- H. M. Edgar
- Mathematics
- 1 February 1965
The Exponential Diophantine Equation 1 + a + a 2 + ⋅+ a x - 1 = p y
- H. M. Edgar
- Mathematics
- 1 August 1974
On unit solutions of the equation xyz = x + y + z in totally imaginary quartic fields
- H. M. Edgar, J. Gordon, Liang-Cheng Zhang
- Mathematics
- 1 March 1992
Abstract It is determined when the equation u 1 u 2 u 3 = u 1 + u 2 + u 3 is solvable in the group of units of the ring of integers of a totally imaginary quartic field.
A Note on Golomb's “Cyclotomic Polynomials and Factorization Theorems”
- Katherine E. McLain, H. M. Edgar
- Mathematics
- 1 December 1981
Classes of equations of the type $y^{2}=x^{3}+k$ having no rational solutions
- H. M. Edgar
- Mathematics
- 1 October 1966
The equation y 2 = x 3 + k, k an integer, has been discussed by many authors. Mordell [1] has found many classes of k values for which the equation has no integral solutions. Fueter [2], Mordell [3]… Expand
Advanced Problems: 5736,5746-5752
- M. Klamkin, L. Carlitz, +5 authors Kesiraju Satyanarayana
- Mathematics
- 1 August 1970
Some contributions to the theory of cyclic quartic extensions of the rationals
- H. M. Edgar, Brian Peterson
- Mathematics
- 1 February 1980
Abstract K is a cyclic quartic extension of Q iff K = Q((rd + p d 1 2 ) 1 2 ) , where d > 1, p and r are rational integers, d squarefree, for which p2 + q2 = r2d for some integer q. Following a paper… Expand