Upper bounds for packings of spheres of several radii

S. Bochner, Vorlesungen über Fouriersche Integrale

1932

Earlier work this paper cites.

S. Bochner, Hilbert distances and positive definite functions

1941

Earlier work this paper cites.

I.J. Schoenberg, Positive definite functions on spheres

1942

Earlier work this paper cites.

R. Courant, D. Hilbert, Methods of mathematical physics

1953

Earlier work this paper cites.

C.A. Rogers, The packing of equal spheres

1958

Earlier work this paper cites.

A. Florian, Ausfüllung der Ebene durch Kreise

1960

Earlier work this paper cites.

B. Masnick and J. Wolf, On linear unequal error protection codes

1967

Earlier work this paper cites.

G. Szegö, Orthogonal Polynomials

1975

Earlier work this paper cites.

P. Delsarte, J.M. Goethals, and J.J. Seidel, Spherical codes and designs

1977

Earlier work this paper cites.

M.D. Choi, T.Y. Lam, and B. Reznick, Real zeros of positive semidefinite forms I

1980

Earlier work this paper cites.

M. Grötschel, L. Lovász, and A. Schrijver, The ellipsoid method and its consequences in combinatorial optimization

1981

Earlier work this paper cites.

N.J. Higham, Upper bounds for the condition number of a triangular matrix

1983

Earlier work this paper cites.

A. Terras, Harmonic analysis on symmetric spaces and applications I

1985

Earlier work this paper cites.

N.J. Higham, A survey of condition number estimation for triangular matrices

1987

Cited alongside, same era.

G.B. Folland, A Course in Abstract Harmonic Analysis

1995

Cited alongside, same era.

A. Heppes and G. Kertész, Packing circles of two different sizes on the sphere

1997

Cited alongside, same era.

V.I. Levenshtein, Universal bounds for codes and designs

1998

Cited alongside, same era.

G.E. Andrews, R. Askey, and R. Roy, Special Functions

1999

Cited alongside, same era.

A. Florian and A. Heppes, Packing Circles of Two Different Sizes on the Sphere II

1999

Cited alongside, same era.

E. Aylward, S. Itani, and P.A. Parrilo, Explicit SOS decompositions of univariate polynomial matrices and the Kalman-Yakubovich-Popov Lemma

2007

Later among the works it cites.

H. Cohn and A. Kumar, Universally optimal distribution of points on spheres

2007

Later among the works it cites.

A. Florian, Remarks on my paper: packing of incongruent circles on the sphere

2007

Later among the works it cites.

C. Bachoc and F. Vallentin, New upper bounds for kissing numbers from semidefinite programming

2008

Later among the works it cites.

K. Fujisawa, M. Fukuda, K. Kobayashi, M. Kojima, K. Nakata, M. Nakata, and M. Yamashita, SDPA (SemiDefinite Programming Algorithm) User’s Manual — Version 7.0.5

2008

Later among the works it cites.