Results 311 to 320 of about 10,860,223 (366)
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Theta Functions and Transcendence
The Ramanujan Journal, 1997Des résultats de transcendance et d'indépendance algébrique concernant les valeurs de fonctions modulaires ont été récemment obtenus (travaux de K. Barré et al., Yu. Nesterenko, P. Philippon). Dans cet article, l'A. propose une relecture de ces résultats et d'autres, plus anciens, à l'aide des fonctions thêta de Jacobi \[ \begin{aligned} \theta_2(q) & =
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American Journal of Mathematics, 1985
\textit{I. Barsotti} [Sympos. Math., Roma 3, 247-277 (1970; Zbl 0194.522)] and \textit{V. Cristante} [Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 7, 181-225 (1980; Zbl 0438.14027)] constructed p-adic theta functions for abelian schemes over a discrete valuation ring dominating the Witt vector ring of an algebraically closed field of characteristic p
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\textit{I. Barsotti} [Sympos. Math., Roma 3, 247-277 (1970; Zbl 0194.522)] and \textit{V. Cristante} [Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 7, 181-225 (1980; Zbl 0438.14027)] constructed p-adic theta functions for abelian schemes over a discrete valuation ring dominating the Witt vector ring of an algebraically closed field of characteristic p
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2016
Continuing along the lines of the earlier article [ibid. 36, 35-44 (1994; Zbl 0841.11021)], the author derives a number of formula -- many of them well-known -- relating theta functions, elliptic functions and classical modular forms.
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Continuing along the lines of the earlier article [ibid. 36, 35-44 (1994; Zbl 0841.11021)], the author derives a number of formula -- many of them well-known -- relating theta functions, elliptic functions and classical modular forms.
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2016
Starting with the classical theta function \(\theta(x,q)= \sum_{n\in \mathbb{Z}} x^n q^{n^2}\), \(q= e^{\pi i\tau}\), the author discusses, in turn, a number of well-known modular forms and modular functions. These include: Dedekind's \(\eta (\tau)\) (weight \({1\over 2}\) on \(\Gamma (1)\)), \(\theta_2 (\tau)\) (weight \({1\over 2}\) on \(\Gamma_0 (2)\
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Starting with the classical theta function \(\theta(x,q)= \sum_{n\in \mathbb{Z}} x^n q^{n^2}\), \(q= e^{\pi i\tau}\), the author discusses, in turn, a number of well-known modular forms and modular functions. These include: Dedekind's \(\eta (\tau)\) (weight \({1\over 2}\) on \(\Gamma (1)\)), \(\theta_2 (\tau)\) (weight \({1\over 2}\) on \(\Gamma_0 (2)\
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Conic theta functions and their relations to theta functions
2013It is natural to ask when the spherical volume defined by the intersection of a sphere at the apex of an integer polyhedral cone is rational. We use number theoretic methods to study a new class of polyhedral functions called conic theta functions, which are closely related to classical theta functions.
Amanda Folsom +2 more
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Mechanism, cellular functions and cancer roles of polymerase-theta-mediated DNA end joining
Nature Reviews Molecular Cell Biology, 2021Dale A Ramsden +2 more
exaly
On Somos’s theta-function identities of level 14
, 2017K. R. Vasuki, R. G. Veeresha
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Partition identities arising from Somos’s theta function identities
, 2017B. R. S. Kumar, R. G. Veeresha
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