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New Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, and Ramanujan's Tau Function

Proceedings of the National Academy of Sciences of the United States of America, Vol. 93, No. 26 (Dec. 24, 1996), pp. 15004-15008 (5 pages) In this paper, we give two infinite families of explicit ...
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QUANTITATIVE HOMOGENIZATION OF THE PARABOLIC AND ELLIPTIC GREEN’S FUNCTIONS ON PERCOLATION CLUSTERS

We study the heat kernel and the Green’s function on the infinite supercritical percolation cluster in dimension d ≥ 2 and prove a quantitative homogenization theorem for these functions with an ...
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Smithsonian mathematical formulae and tables of elliptic functions

Smithsonian Institution, Adams, Edwin P., and Hippisley, R. L. 1922. "Smithsonian mathematical formulae and tables of elliptic functions." Smithsonian Miscellaneous ...
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Smithsonian mathematical formulae and tables of elliptic functions. Mathematical formulae prepared by Edwin P. Adams. Tables of elliptic functions prepared under the direction ...

Smithsonian mathematical formulae and tables of elliptic functions. Mathematical formulae prepared by Edwin P. Adams. Tables of elliptic functions prepared under the direction of Sir George Greenhill, ...