An infinite family of congruences arising from a second order mock theta function
作者： Shane Chern , Chun Wang
DOI:
关键词: Congruence relation 、 Beta (velocity) 、 Theta function 、 Order (ring theory) 、 Physics 、 Combinatorics 、 Modulo
摘要: Let $\beta (q)=\sum_ {n\ge 0}\mathfrak {b}(n) q^ n $ be a second order mock theta function defined by $$\sum_ {n\ge 0}\frac {q^{n (n+ 1)}(-q^ 2; q^ 2) _n}{(q; q^ 2) _ {n+ 1}^ 2}. $$ In this …
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