Y. Tachiya

activity

20162026

most citedAlgebraic independence results for values of Theta-constants, II

1 citations · 1 across the 8 of their papers we have counts for

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math.NT2016

Algebraic independence results for values of Jacobi theta-constants

Carsten Elsner, Yohei Tachiya

Let $θ_{3} (τ) = 1 + 2 \sum_{ν = 1}^{\infty} q^{ν^{2}}$ with $q = e^{iπ τ}$ and $ℑ (τ) > 0$ denote the Thetanullwert of the Jacobi theta function \[θ(z|τ) \,=\,\sum_{ν=-\infty}^{\infty} e^{πiν^2τ…

math.NT2016★ 1 cited

Algebraic independence results for values of Theta-constants, II

Carsten Elsner, Yohei Tachiya

Let $θ_{3} (τ) = 1 + 2 \sum_{ν = 1}^{\infty} q^{ν^{2}}$ with $q = e^{iπ τ}$ denote the Thetanullwert of the Jacobi theta function \[θ(z|τ) \,=\,\sum_{ν=-\infty}^{\infty} e^{πiν^2τ+ 2πiνz} \,.\] M…