Wang's transformation conjecture for Dwork's p-adic hypergeometric function
Wang's transformation conjecture for Dwork's p-adic hypergeometric function
For , let be the unique integer such that . Let be Dwork's -adic hypergeometric function, viewed in
The involution sends to .
Wang's transformation conjecture. If is an odd prime, then
If , the same identity holds up to sign.
This conjecture proposes a transformation formula relating Dwork's -adic hypergeometric function at and , analogous to classical hypergeometric transformation formulas. The cited work of Wang formulates the conjecture, while its resolution is not established in the supplied source.
Sources & referencesView supporting material
Primary source
Yusuke Nemoto, “Transformation formula of Dwork's p-adic hypergeometric function”, arXiv:2505.24215 (2025).
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