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Jacobian variety, theta divisor

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#algebraic-geometry #riemann-surfaces #theta-functions
570
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Definite integral of Jacobi Theta Function

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#integration #sequences-and-series #definite-integrals #closed-form #theta-functions
87
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Do closed form expressions exist for $\int_0^1 \theta_3(x)\,dx$?

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#integration #number-theory #closed-form #theta-functions
81
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What is the exact value of $\sum\limits_{n=1}^\infty \frac{1}{F_n}$?

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#summation #fibonacci-numbers #golden-ratio #theta-functions #digamma-function
45
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Showing an equality for the KS-statistic with Jacobi theta functions

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#statistics #probability-distributions #theta-functions
238
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A theta function identity involving $\vartheta_2(q^3),\vartheta_3(q^3)$

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#calculus #sequences-and-series #complex-analysis #elliptic-integrals #theta-functions
79
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A sum related to the theta function

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#summation #special-functions #theta-functions
155
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Integrals of Jacobi $\vartheta$ functions on the interval $[1,+\infty)$

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#calculus #integration #elliptic-integrals #dirichlet-series #theta-functions
308
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Conjectured identity for the ratio of Ramanujan theta functions

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#number-theory #modular-forms #theta-functions #q-series
53
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Alternative expression for theta function

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#fourier-series #heat-equation #theta-functions
52
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Additional symmetries in a theta-like function

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#group-actions #modular-forms #theta-functions
225
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Basic properties of Jacobi's theta function

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#complex-analysis #algebra-precalculus #theta-functions
133
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How did people come up with the product formula for Jacobi's theta function

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#complex-analysis #reference-request #math-history #theta-functions
308
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Closed form for $\sum_{n=1}^\infty \frac{1}{n(e^{2 n \pi}-1)}$

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#summation #infinite-product #theta-functions #ramanujan-summation #elliptic-modular-form
86
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Exercise in the book "Basic Hypergeometric Series" of Gasper and Rahman

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#hypergeometric-function #theta-functions #q-series

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