Results 201 to 210 of about 52,325 (233)
The sociolinguistic foundations of language modeling. [PDF]
Grieve J +9 more
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An integrated engineering worldview of synthetic biology education through the lens of webinar based pedagogy. [PDF]
George I +8 more
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Modulation of tumor inflammatory signaling and drug sensitivity by CMTM4. [PDF]
Xu Y +19 more
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Eisenstein Series and Zeros of Zeta Functions (Analytic number theory and related topics)
正俊 鈴木
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Journal of Mathematical Sciences, 2003
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Ramanujan Journal, 2007
Using the theory of elliptic functions the authors prove several identities which have as particular cases earlier formulas of Ramanujan. For example: \[ E_{2n}-4\sum_{j=1}^\infty\frac{(-1)^j(2j-1)^{2n}q^{2j-1}}{1-q^{2j-1}}=z^{2n+1}p_n(x),\quad n=0,1,2,3,\ldots, \] where \(E_n\) are the Euler numbers defined by \[ \frac{2e^u}{e^{2u}+1}=\frac{E_nu^n}{n!}
Cooper, Shaun, Lam, Heung Yeung
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Using the theory of elliptic functions the authors prove several identities which have as particular cases earlier formulas of Ramanujan. For example: \[ E_{2n}-4\sum_{j=1}^\infty\frac{(-1)^j(2j-1)^{2n}q^{2j-1}}{1-q^{2j-1}}=z^{2n+1}p_n(x),\quad n=0,1,2,3,\ldots, \] where \(E_n\) are the Euler numbers defined by \[ \frac{2e^u}{e^{2u}+1}=\frac{E_nu^n}{n!}
Cooper, Shaun, Lam, Heung Yeung
openaire +1 more source

