Determinants and Their Applications in Mathematical Physics

Bibliography 347

L. Caffarelli, L. Nirenberg, J. Spruck, The Dirichlet problem for the degener-

ate Monge–Amp`ere equation.Rev. Mat. Iberoam. 2 (1987), 19–27. [Zbl 611

(1987), 35029.]

E.R. Caianiello, Theory of coupled quantized fields.Nuovo Cimento Suppl. 14

(1959), 177–191. [PA 63 (1960), 3912.]

F. Calogero, Matrices, differential operators and polynomials.J. Math. Phys. 22

(1981), 919–934. [PA 84 (1981), 99012.]

F. Calogero, Determinantal representations of the classical polynomials.Boll.

Unione Mat. Ital. VI Ser A 4 (1985), 407–414. [MR 87i: 33022; Zbl 581

(1986), 33007.]

F. Calogero, Ji Xiaoda, Solvable (nonrelativistic, classical)n-body problems on

the line. I,J. Math. Phys. 34 (1993), 5659–5670. [PA (1994), 25257.]

F. Calogero, Ji Xiaoda, Solvablen-body problems in multidimensions.J. Math.

Phys. 35 (1994), 710–733. [PA (1994), 93634.]

L. Carlitz, Hankel determinants and Bernoulli numbers.Tohoku Math. J. 5

(1954), 272–276. [MR 15 (1954), 777.]

L. Carlitz, A special determinant.Proc. Am. Math. Soc. 6 (1955), 270–272. [MR

16 (1955), 999.]

L. Carlitz, A special determinant.Am. Math. Monthly 62 (1955), 242–243. [MR

16 (1955), 989.]

L. Carlitz, A determinant.Am. Math. Monthly 64 (1957), 186–188. [MR 19

(1958), 7.]

L. Carlitz, Some cyclotomic determinants.Bull. Calcutta Math. Soc. 49 (1957),

49–51. [MR 20 (1959), 3812.]

L. Carlitz, A special determinant. [Problem 1333, 1958, 627] proposed by V.F.

Ivanoff,Am. Math. Monthly. 66 (1959), 314–315.

L. Carlitz, A determinant connected with Fermat’s last theorem.Proc. Am. Math.

Soc. 10 (1959), 686–690. [MR 21 (1960), 7182.] Also,Proc. Am. Math. Soc.

11 (1960), 730–733. [MR 22 (1961), 7974.].

L. Carlitz, A generalization of Maillet’s determinant and a bound for the first

factor of the class number.Proc. Am. Math. Soc. 12 (1961), 256–261. [MR

22 (1961), 12093.]

L. Carlitz, Some operational equations for symmetric polynomials.Duke Math.

J. 28 (1961), 355–368. [MR 24 A (1962), 20.]

L. Carlitz, Some determinants ofq-binomial coefficients.J. Reine Angew. Math.

226 (1967), 216–220. [Zbl 162 (1969), 30.]

L. Carlitz, F.R. Olsen, Maillet’s determinant.Proc. Am. Math. Soc. 6 (1955),

265–269. [MR 16 (1955), 999.]

D. Carlson, On some determinantal inequalitites. Proc. Am. Math. Soc. 19

(1968), 462–466.

D. Carlson, Polynomials satisfying a binomial theorem.J. Math. Anal. Applic.

32 (1970), 543–548. [MR 42 (1971), 6288.]

P. Cartier,A Course on Determinants, Conformal Invariance and String Theory,

(Poiana Brasov 1987), Academic Press, Boston, 1989, pp. 443–557. [MR 91a:

58200.]