Prostatism
发表于 2025-3-25 06:29:38
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Physiatrist
发表于 2025-3-25 09:12:00
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摄取
发表于 2025-3-25 12:19:06
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正面
发表于 2025-3-25 16:27:30
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虚假
发表于 2025-3-25 21:37:19
Periods of meromorphic functions,We assume as known the fundamentals of complex analysis, including the basic properties of . and of . functions in the . The meromorphic functions defined on an ., set in the complex plane form a . Unless otherwise qualified, a meromorphic function is supposed to mean a function meromorphic in the whole complex plane.
违法事实
发表于 2025-3-26 00:49:55
General properties of elliptic functions,Given an elliptic function ., let (. .) be a pair of . periods for its period-lattice {. .}, where m, . = 0, ±1, ±2,....
ANNUL
发表于 2025-3-26 04:52:48
The zeta-function and the sigma-function of Weierstrass,Weierstrass’s ζ-function is a meromorphic function, which has . poles, with residues equal to one, at all points which correspond to the periods of Weierstrass’s ℘-function. It is . elliptic. But every elliptic function can be expressed in terms of ζ and its derivatives; in fact ζ.(.)= -℘(.).
图表证明
发表于 2025-3-26 10:11:35
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Esalate
发表于 2025-3-26 15:45:57
The law of quadratic reciprocity,As a limiting case of the transformation formula connecting the theta-function .(., .) with ., we shall prove a transformation formula for exponential sums (Theorem 1), which yields, as a special case, a reciprocity formula for . (Corollary 2) which, in turn, enables us not only to evaluate . but to prove the law of quadratic reciprocity.
GRAZE
发表于 2025-3-26 17:27:55
,Dedekind’s η-function and Euler’s theorem on pentagonal numbers,