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Equation of the curve corresponding to a principal polarization

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#algebraic-geometry #riemann-surfaces #abelian-varieties #theta-functions
120
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Fibonacci-related infinite sum

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#sequences-and-series #fibonacci-numbers #theta-functions
321
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Which theta function is $\theta(x;q) = (x;q)(q/x;q)$?

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#analytic-number-theory #theta-functions
19
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Is the $z\gg 1$ behavior of the theta function $\theta_1(z;q)$ known?

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#theta-functions
40
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any interpretation for $\left[ \sum_{n\in \mathbb{Z}} q^{n^2} w^{2n} \right]^{-1}$?

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#reference-request #theta-functions
541
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Reciprocals of theta functions

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#complex-analysis #soft-question #residue-calculus #partial-fractions #theta-functions
565
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Jacobi Elliptic Functions built from Jacobi theta functions

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#complex-analysis #reference-request #elliptic-functions #theta-functions
161
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Holomorphicity and modularity of Jacobi forms

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#complex-analysis #number-theory #modular-forms #automorphic-forms #theta-functions
128
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Some analogs of the pentagonal number theorem

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#infinite-product #theta-functions #q-series
1.8k
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the zeros of theta function?

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#modular-forms #abelian-varieties #theta-functions
915
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Ramanujan theta function and its continued fraction

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#number-theory #modular-forms #continued-fractions #theta-functions #q-series
186
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What is the limit $\lim_{q\to 1} \vartheta_{2}^{2}(q)(1-q)$

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#calculus #limits #special-functions #modular-forms #theta-functions
98
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Elliptic formulation of sum with cosine and hyperbolic cosine

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#sequences-and-series #hyperbolic-functions #elliptic-functions #theta-functions
2.5k
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How to solve the general sextic equation with Kampé de Fériet functions?

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#polynomials #special-functions #hypergeometric-function #theta-functions
311
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A $q$-continued fraction connected to the divisor function?

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#continued-fractions #theta-functions #q-series #divisor-counting-function

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