# Publications of David Ross Richman

The publications of David Ross Richman are listed below in reverse chronological order. More material here related to his unpublished works is expected in the near future. The list below was obtained with the help of a MathSciNet search and all links below (including Math Reviews) will provide the corresponding information from MathSciNet. You can only access these links if your location has an account with them.

[1] 97k:13005 Richman, David R. Explicit generators of the invariants of finite groups. Adv. Math. 124 (1996), no. 1, 49--76. (Reviewer: Frank D. Grosshans) 13A50 (15A72)

[2] 97i:13005 Richman, David R. Invariants of finite groups over fields of characteristic $p$. Adv. Math. 124 (1996), no. 1, 25--48. (Reviewer: Frank D. Grosshans) 13A50 (15A72)

[3] 91i:11004 Filaseta, Michael A.; Richman, David R. Sets which contain a quadratic residue modulo $p$ for almost all $p$. Math. J. Okayama Univ. 31 (1989), 1--8. (Reviewer: Klaus Burde) 11A15

[4] 91g:86010 Richman, David; Sharp, W. E. A method for determining the reversibility of a Markov sequence. Math. Geol. 22 (1990), no. 7, 749--761. 86A32 (60J99 62M99)

[5] 91g:15020 Richman, David R. On vector invariants over finite fields. Adv. Math. 81 (1990), no. 1, 30--65. (Reviewer: Joseph Kung) 15A72 (13E15 20G40)

[6] 90d:20017 Richman, David R. The fundamental theorems of vector invariants. Adv. in Math. 73 (1989), no. 1, 43--78. (Reviewer: Andrea Brini) 20C07 (05A99 15A72)

[7] 89f:11148 Hardy, Kenneth; Hudson, Richard H.; Richman, David; Williams, Kenneth S. Determination of all imaginary cyclic quartic fields with class number $2$. Trans. Amer. Math. Soc. 311 (1989), no. 1, 1--55. (Reviewer: Duncan A. Buell) 11R16 (11R29)

[8] 89d:15003 Richman, David R. A result about block Vandermonde matrices. Linear and Multilinear Algebra 21 (1987), no. 2, 181--189. (Reviewer: Robert M. McConnel) 15A33 (12E20)

[9] 89d:11087 Richman, David R. The Waring problem for matrices. Linear and Multilinear Algebra 22 (1987), no. 2, 171--192. (Reviewer: L. N. Vaserstein) 11P05 (15A33)

[10] 88m:11112 Hardy, Kenneth; Hudson, R. H.; Richman, D.; Williams, Kenneth S.; Holtz, N. M. Calculation of the class numbers of imaginary cyclic quartic fields. Math. Comp. 49 (1987), no. 180, 615--620. (Reviewer: Ken Nakamula) 11Y40 (11R16 11R29)

[11] 88j:15006 Richman, David R.; Wang, Quan Long On generalized Vandermonde determinants. Current trends in matrix theory (Auburn, Ala., 1986), 285--295, North-Holland, New York-Amsterdam, 1987. (Reviewer: Thomas H. Foregger) 15A15 (15A45)

[12] 88e:15007 Richman, David R. Addendum to: "Matrices as sums of squares: a conjecture of Griffin and Krusemeyer" [Linear and Multilinear Algebra {\bf 17} (1985), no. 3, 289--294; MR 87a:15022]. Linear and Multilinear Algebra 20 (1987), no. 4, 389. 15A24 (11C20 12D15)

[13] 88d:12004 Richman, David R. On the computation of minimal polynomials. J. Algebra 103 (1986), no. 1, 1--17. (Reviewer: Kevin S. McCurley) 12E12 (12-04 68Q40)

[14] 87a:15022 Richman, David R. Matrices as sums of squares: a conjecture of Griffin and Krusemeyer. Linear and Multilinear Algebra 17 (1985), no. 3-4, 289--294. (Reviewer: John H. Hodges) 15A24 (11C20 12D15)

[15] 86k:12002 Peskin, Barbara R.; Richman, David R. A method to compute minimal polynomials. SIAM J. Algebraic Discrete Methods 6 (1985), no. 2, 292--299. (Reviewer: J. H. Davenport) 12-04 (12E05 68Q40)

[16] 86k:05009 Richman, David R. On balanced sets mod $p$. J. Combin. Theory Ser. A 40 (1985), no. 1, 179--182. (Reviewer: Robert Girse) 05A17 (11T15)

[17] 86d:11100 Richman, David R. Some remarks on the number of solutions to the equation $f(X\sb 1)+\cdots +f(X\sb n)=0$. Stud. Appl. Math. 71 (1984), no. 3, 263--266. (Reviewer: S. W. Graham) 11T41

[18] 84h:10026 Richman, David R. Polynomial relations among the $n$th roots of one. J. Number Theory 16 (1983), no. 1, 14--18. (Reviewer: Ming-Chit Liu) 10B30 (10B15)

[19] 84d:47035 Richman, David R. A new proof of a result about Hankel operators. Integral Equations Operator Theory 5 (1982), no. 6, 892--900. (Reviewer: Jeffrey R. Butz) 47B35

[20] 83m:05004 Ein, Lawrence M. H.; Richman, David Ross; Kleitman, Daniel J.; Shearer, James; Sturtevant, Dean Some results on systems of finite sets that satisfy a certain intersection condition. Stud. Appl. Math. 65 (1981), no. 3, 269--274. (Reviewer: Peter Frankl) 05A05

[21] 83j:15015 Richman, David Ross Matrices which commute with their transposes over a field of characteristic two. Linear and Multilinear Algebra 10 (1981), no. 2, 131--140. 15A33 (15A27)