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.
References
Primary source
Yusuke Nemoto, “Transformation formula of Dwork's p-adic hypergeometric function”, arXiv:2505.24215 (2025).
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