| With Them, the Equations in the Two-Dimensional Period Problem Become 1 (2007) | |||||||||||||||
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| Then, by the intermediate value theorem, a value of q 2 ? 1 exists such that (4.3) holds. Applying several changes of variables, we have F 1 = Z 1 0 k r i (q 2 \Gamma 1+z)(q 2 +1 \Gamma z) 2 \Gamma z j k\Gamma1 k r i 1 \Gamma z z j k\Gamma1 dz G 1 = Z 1 0 k s i 1+z (q 2 +z)(q 2 \Gamma z) j k\Gamma1 k r i 1 \Gamma z z j k\Gamma1 dz F 2 = Z q2 \Gamma1 0 k | |||||||||||||||
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