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Separation in the q-shifted factorial

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#combinatorics #factorial #q-series
429
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Convergence of series with q-Pochhammer symbol

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#probability-theory #hypergeometric-function #q-series
570
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Does the Rogers-Ramanujan continued fraction $R(q)$ satisfy this conjectured infinite series

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#number-theory #continued-fractions #modular-forms #conjectures #q-series
197
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q-shifted factorial

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#combinatorics #factorial #q-series
251
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q-exponential functions

Published on
#limits #special-functions #factorial #q-series #q-analogs
300
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Identity between $q$-series

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#sequences-and-series #modular-forms #q-series
187
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conjectured relations of mock theta functions of order $3$

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#sequences-and-series #modular-forms #conjectures #theta-functions #q-series
276
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Conjectured continued fraction for the Generalized Rogers-Ramanujan continued fraction

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#number-theory #continued-fractions #conjectures #q-series
243
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Conjectured continued fraction for the Jacobi theta function $\vartheta_{4}(q)$

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#number-theory #continued-fractions #conjectures #q-series
157
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Rogers-Ramanujan identity as a modular form

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#modular-forms #hypergeometric-function #q-series
149
Views

Evaluate $ \frac{1}{(q)_\infty} \sum_{m \in \mathbb{Z}} q^{\frac{m^2}{2}} (-q^{-\frac{1}{2}}x)^m y^m(q^{1-m}y^{-1};q)_\infty $

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#sequences-and-series #number-theory #integer-partitions #theta-functions #q-series
150
Views

Validity of a q-series theorem

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#special-functions #integer-partitions #q-series
305
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How to prove the q-series identity?

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#special-functions #q-series
123
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Arithmetic/category theoretic information encoded in $q$-series reciprocals

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#number-theory #analytic-number-theory #q-series
166
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Closed form for $\sum_{m \geq 1} (-1)^m q^{m(m+1)/2 + m \Delta}$?

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#sequences-and-series #q-analogs #q-series

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