掩饰
发表于 2025-3-21 16:26:17
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打谷工具
发表于 2025-3-21 21:52:59
The Euler-MacLaurin Sum FormulaLet .(.) be continuous with as many continuous derivatives as required. Noticing .′.(.) =l we obtain through integration by parts
攀登
发表于 2025-3-22 00:43:24
The Eisenstein SeriesLet .,. be two complex numbers, different from zero, such that the quotient . =./. is not real. The totality . of all complex numbers . + . with . integers, forms a point-lattice in the complex plane.
寒冷
发表于 2025-3-22 04:36:55
The Transformation of log η(τ) and the Theory of the Dedekind SumsThe direct determination of the . constant . = .(.) belongs to the theory of the ϑ-functions and Gaussian sums.
恸哭
发表于 2025-3-22 12:26:56
The ϑ-functionsWhereas there exist doubly periodic . functions, as we have seen in § 57, entire doubly periodic functions can only be constants, since they are bounded in their fundamental parallelogram and thus in the whole plane.
eardrum
发表于 2025-3-22 14:40:49
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嘲弄
发表于 2025-3-22 17:37:34
Application of the Circle Method to Modular Forms of Positive DimensionThe circle method, which led to an explicit formula for the Fourier coefficients . (.) of . .(.)., can be generalized to deal with general modular forms of positive dimension.
antiquated
发表于 2025-3-22 23:07:31
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低位的人或事
发表于 2025-3-23 03:07:26
https://doi.org/10.1007/978-3-642-80615-5analytic number theory; binomial; number theory
CURL
发表于 2025-3-23 08:35:39
978-3-642-80617-9Springer-Verlag, Berlin • Heidelberg 1973