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21—30 of 221 matching pages
21: 36.7 Zeros
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►Inside the cusp, that is, for , the zeros form pairs lying in curved rows.
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►Just outside the cusp, that is, for , there is a single row of zeros on each side.
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36.7.3
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22: 5.16 Sums
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5.16.1
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23: 13.27 Mathematical Applications
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►Vilenkin (1968, Chapter 8) constructs irreducible representations of this group, in which the diagonal matrices correspond to operators of multiplication by an exponential function.
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24: 24.20 Tables
25: 34.14 Tables
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►Tables of exact values of the squares of the and symbols in which all parameters are are given in Rotenberg et al. (1959), together with a bibliography of earlier tables of , and symbols on pp.
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26: 23.20 Mathematical Applications
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►Given , calculate , , by doubling as above.
…If any of , , is not an integer, then the point has infinite order.
Otherwise observe any equalities between , , , , and their negatives.
The order of a point (if finite and not already determined) can have only the values 3, 5, 6, 7, 9, 10, or 12, and so can be found from , , , , , , or .
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23.20.8
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