The -adic Riemann Hypothesis for exponential sums
The -adic Riemann Hypothesis for exponential sums
Let and be the parameters defining the generic Newton polygon and the Frobenius polygon , and let be a prime. The -adic Riemann Hypothesis. If is sufficiently large, then
The paper presents this as a conjecture following Wan's asymptotic conjecture; the supplied context records partial results, including the case for sufficiently large and a special two-variable case, but does not indicate a resolution in general.
Sources & referencesView supporting material
Primary source
Chunlei Liu and Chuanze Niu, “The p-adic Riemann Hypothesis For Expnonential Sums”, arXiv:1912.04503 (2020).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.