By David M Bressoud; S Wagon

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43 (2001), 7-14. I 04. P. Ribenboim, The Book of Prime Number Records, Springer-Verlag, New York, 1988. 105. C. A. Rogers, "The packing of equal spheres," Proc. London Math. Soc. 8(3) (1958), 609-620. 106. A. J. Scholl, "On the Heeke algebra of a non-congruence subgroup," Bull. London Math. Soc. 29 (1997), 395-399. 107. A. Selberg, "Bemerkungen tiber eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist," Archiv. Math. Natur. B 43 (1940), 47-50. 108. A. Selberg, "On the estimation of Fourier coefficients of modular forms," Proc.

6). RANKIN Rankin wrote several papers on the "sphere packing" problem. literature on the subject [16]. Here we discuss only Rankin's paper Mathematics [58], extending earlier work of Blichfeldt [9]. Let Cn hypercube of edge L, and let N(L) denote the maximum number which can be "packed" in Cn· The packing constant Pn is defined by There is now a vast of 1947 in Annals of be ann-dimensional of unit hyperspheres Pn := lim KnN(L)(C, L->oo where Kn = rrf~~/ 2 ). , the centers of the hyperspheres need not form a lattice), we may also define the regular packing constant p~ by p~ := lim KnN'(L)/ C, L->oo where N'(L) denotes the number of unit hyperspheres which can be packed in Cn so that their centers form a lattice.

White, Purveyor. For statics and dynamics we had Ebenezer Cunningham, one of the first people to have written a book on relativity after Einstein. He was very concerned about the meaning of terms such as force and momentum. I found this a bit boring, but suppose that I lacked the maturity to appreciate him. He disapproved of Lagrange's equations, so that this subject was relegated to a few minutes at the end of his course. Samuel Goldstein, another Johnian, lectured on electricity and magnetism.