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Systematic investigation of two-dimensional static array sums
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10.1063/1.2472186
/content/aip/journal/jmp/48/3/10.1063/1.2472186
http://aip.metastore.ingenta.com/content/aip/journal/jmp/48/3/10.1063/1.2472186

Figures

Image of FIG. 1.
FIG. 1.

(Color online) The top plot shows a surface plot of , while on the bottom is a contour plot of the same function.

Image of FIG. 2.
FIG. 2.

The modulus of is shown for 80 equally spaced points with angles ranging from to , on the contour , and with corresponding to the first zero of on the critical line.

Tables

Generic image for table
Table I.

Definition of the main symbols in this paper.

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Table II.

The value of the Green’s function at particular points in the Brillouin zone.

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Table III.

The first zero of each , the values at one and the values of from Eq. (41) for primitive Dirichlet functions with .

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Table IV.

Sums which may be derived from the results of Sec. VII A.

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Table V.

Sums which may be derived from the results of Sec. VII B.

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Table VI.

Sums which may be derived from the results of Sec. VII C.

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Table VII.

Sums which may be derived from the results of Sec. VII D. For each sum in the first column, the coefficients are given of the functions in the heads of the other columns.

Generic image for table
Table VIII.

Sums which may be derived from the results of Sec. VIII, involving functions with complex characters. For each sum in the first column, the coefficients are given of the functions in the heads of the other columns.

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/content/aip/journal/jmp/48/3/10.1063/1.2472186
2007-03-01
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Systematic investigation of two-dimensional static array sums
http://aip.metastore.ingenta.com/content/aip/journal/jmp/48/3/10.1063/1.2472186
10.1063/1.2472186
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