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Revision History for A004011

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A004011

Theta series of D_4 lattice; Fourier coefficients of Eisenstein series E_{gamma,2}.
(history; published version)

#139 by Vaclav Kotesovec at Fri Dec 29 03:05:58 EST 2023

STATUS

proposed

approved

#138 by Michel Marcus at Fri Dec 29 02:08:11 EST 2023

STATUS

editing

proposed

#137 by Michel Marcus at Fri Dec 29 02:08:06 EST 2023

LINKS

Nadia Heninger, E. M. Rains, and N. J. A. Sloane, <a href="httphttps://arXivarxiv.org/abs/math.NT/0509316">On the Integrality of n-th Roots of Generating Functions</a>, arXiv:math/0509316 [math.NT], 2005-2006; J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

STATUS

proposed

editing

#136 by Amiram Eldar at Fri Dec 29 00:48:14 EST 2023

STATUS

editing

proposed

#135 by Amiram Eldar at Fri Dec 29 00:45:48 EST 2023

CROSSREFS

Cf. A004016, A005882, A005928.

#134 by Amiram Eldar at Fri Dec 29 00:43:45 EST 2023

CROSSREFS

Cf. A002388, A000118, A000593, A008658, A096727, A108092, A108096.

#133 by Amiram Eldar at Fri Dec 29 00:43:11 EST 2023

COMMENTS

Convolution square is A008658. - Michael Somos, Aug 21 2014

FORMULA

Convolution square is A008658. - Michael Somos, Aug 21 2014

#132 by Amiram Eldar at Fri Dec 29 00:28:46 EST 2023

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/EisensteinSeries.html">Eisenstein Series</a>.

#131 by Amiram Eldar at Fri Dec 29 00:28:16 EST 2023

LINKS

<a href="/index/Ba#BW">Index entries for sequences related to Barnes-Wall lattices</a>.

#130 by Amiram Eldar at Fri Dec 29 00:27:38 EST 2023

LINKS

Michael Gilleland, <a href="/selfsimilar.html">Some Self-Similar Integer Sequences</a>.

N. Nadia Heninger, E. M. Rains , and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.NT/0509316">On the Integrality of n-th Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

G. Gabriele Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/D4.html">Home page for D_4 lattice</a>

N. J. A. Sloane, <a href="/A004011/a004011.gif">The 24 minimal vectors form the 24-cell polytope</a>.

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/24-Cell.html">24-Cell</a>.

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/EisensteinSeries.html">Eisenstein Series</a>.

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Barnes-WallLattice.html">Barnes-Wall Lattice</a>.

Wikipedia, <a href="http://en.wikipedia.org/wiki/Hurwitz_quaternion">Hurwitz quaternion</a>.

<a href="/index/Cor#core">Index entries for "core" sequences</a>.

<a href="/index/Da#D4">Index entries for sequences related to D_4 lattice</a>.

<a href="/index/Ed#Eisen">Index entries for sequences related to Eisenstein series</a>.

<a href="/index/Ba#BW">Index entries for sequences related to Barnes-Wall lattices</a>.