A double-strength q-congruence for truncated basic hypergeometric sums
A double-strength q-congruence for truncated basic hypergeometric sums
Let be a positive integer with , let be any positive integer, and let denote the th cyclotomic polynomial. Then the conjectured q-congruence.
and
This extends the preceding results for truncated basic hypergeometric sums in the case ; the asserted congruences modulo the square of the cyclotomic polynomial remain presented as conjectural here.
Sources & referencesView supporting material
Primary source
Victor J. W. Guo and Wadim Zudilin, “On a q-deformation of modular forms”, arXiv:1812.11322 (2019).
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