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15
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Search for an algebraic proof of a near q-Vandermonde identity.

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#generating-functions #q-analogs #q-series
306
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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
72
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Ramanujan Identity Proof

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#sequences-and-series #q-series #elliptic-modular-form
84
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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
266
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A certain conjectured criterion for restricted partitions

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#number-theory #diophantine-equations #modular-forms #integer-partitions #q-series
316
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Numbers with a unique partition as a sum of two squares

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#quadratic-forms #modular-forms #conjectures #sums-of-squares #q-series
99
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Closed form on variation of q-binomial theorem

Published on
#reference-request #closed-form #q-series
166
Views

An identity related to $q$-series

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#number-theory #theta-functions #q-series
309
Views

Ramanujan's identity concerning a quotient of Dedekind's eta functions

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#sequences-and-series #theta-functions #q-series
118
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An identity related to the series $\sum_{n\geq 0}p(5n+4)x^n$ in Ramanujan's lost notebook

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#sequences-and-series #integer-partitions #q-series
64
Views

Proving Gauss’s summation theorem for the $q$-binomial coefficients

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#combinatorics #q-analogs #q-series
32
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Need help in implementing q-SeriesToq-Product in Mathematica

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#mathematica #q-series
168
Views

Is there a formula for $\sum_{n=0}^{+\infty} q^{n^3}$?

Published on
#number-theory #power-series #q-series
1k
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Elementary proof of Ramanujan's "most beautiful identity"

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#sequences-and-series #integer-partitions #modular-forms #q-series
309
Views

q-Hermite polynomials

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#special-functions #orthogonal-polynomials #q-series

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