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・ Theta Crateris
・ Theta criterion
・ Theta Crucis
・ Theta Cygni
・ Theta defensin
・ Theta Delphini
・ Theta Delta Chi
・ Theta Delta Kappa
・ Theta Delta Sigma
・ Theta divisor
・ Theta Doradus
・ Theta Draconis
・ Theta Eridani
・ Theta function
・ Theta function (disambiguation)
Theta function of a lattice
・ Theta Geminorum
・ Theta graph
・ Theta group
・ Theta Gruis
・ Theta Herculis
・ Theta Hydrae
・ Theta Indi
・ Theta Island, Bermuda
・ Theta Islands
・ Theta Kappa Nu
・ Theta Kappa Omega
・ Theta Kappa Pi
・ Theta Kappa Psi
・ Theta Leonis


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Theta function of a lattice : ウィキペディア英語版
Theta function of a lattice
In mathematics, the theta function of a lattice is a function whose coefficients give the number of vectors of a given norm.
==Definition==
One can associate to any (positive-definite) lattice Λ a theta function given by
:\Theta_\Lambda(\tau) = \sum_e^\qquad\mathrm\,\tau > 0.
The theta function of a lattice is then a holomorphic function on the upper half-plane. Furthermore, the theta function of an even unimodular lattice of rank ''n'' is actually a modular form of weight ''n''/2. The theta function of an integral lattice is often written as a power series in q = e^ so that the coefficient of ''q''''n'' gives the number of lattice vectors of norm 2''n''.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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