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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
709
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A theta function around its natural boundary

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#limits #special-functions #modular-forms
223
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conjecture about primes and a certain q-series.

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#number-theory #prime-numbers #modular-forms #conjectures
116
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connection between odd primes and a certain q-series

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#prime-numbers #analytic-number-theory #modular-forms #conjectures
334
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Transitive action of $SL_2(\mathbb{R})$ on $\mathbb{H}$

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#group-theory #group-actions #modular-forms
48
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Finding the value of a sum of two Hecke eigenvalues

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#number-theory #elementary-number-theory #analytic-number-theory #modular-forms
341
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Why does the valence formula imply $M_k=0$ for $k <0$?

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#complex-analysis #modular-forms
509
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How to prove that the Peterson inner product of $E_k$ with a cusp eigenform is $0$?

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#modular-forms
98
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Some special Hecke groups

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#modular-forms
181
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On the j-function $j\big(\frac{1+\sqrt{-31}}{2}\big)$ and special cubics

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#radicals #modular-forms #cubics
733
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Rogers-Ramanujan continued fraction in terms of Jacobi theta functions?

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#special-functions #modular-forms #continued-fractions #theta-functions
1.4k
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How to solve the Brioschi quintic in terms of elliptic functions?

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#polynomials #special-functions #modular-forms #elliptic-functions
1.4k
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Dimension of the space of cusp forms

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#number-theory #modular-forms
279
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Using Modularity Theorem and Ribet's Theorem to disprove existence of rational solutions

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#elliptic-curves #modular-forms #rational-functions #rationality-testing
1k
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Good description of orbits of upper half plane under $SL_2 (Z)$

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#complex-analysis #number-theory #modular-arithmetic #modular-forms

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