3 results for “First-theta function”

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Research ArticleOpen accessEvery word in the titleBehavior of the Dedekind's Function over First Order Theta Function According to Conditions Modular FormIsmet YıldızThe effect Dedekind's etha function on theta functions is analyzed according to the characteristics of theta functions under modular group conditions. …Journal of Mathematics and Statistics, Vol. 2, Issue 3 · 30 Sep 2006 · 6,229 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsOn Characteristic Functions of Fırst Order Theta Functionİsmet YıldızIn thıs study, a relation on the coefficients periods of first order theta function according to the period pair using the theta characteristic values is established. …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 7,000 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsOn the Relations among Characteristic Functions of Theta FunctionsIsmet Yildiz, Neslihan UyanikIn this study, using the characteristic values $\begin{bmatrix} \varepsilon\\ \varepsilon' \end{bmatrix} = \begin{bmatrix} 1\\ 1 \end{bmatrix}, \begin{bmatrix} 1\\ 0 \end{bmatrix}, \begin{bmatrix} 0\\ 1 \end{bmatrix}, \begin{bmatrix} 0\\ 0 \end{bmatrix} \pmod 2$ a theorem on the $\frac{1}{2^r}$ coefficients of periods of first order theta function according to the $(1,τ)$ period pair (for $r \in N^+$) is established. The following equalities are also … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,044 accessesView PDF Cite