Partial toric L-functions are shown to be rational via p-adic twisted Fredholm determinants, equipped with a p-adic cohomological formula and an explicit unique p-adic unit root given by A-hypergeometric series.
1, 238–251, Dedicated to Professor Chao Ko on the occasion of his 90th birthday
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$p$-adic Theory for Partial Toric Exponential Sums
Partial toric L-functions are shown to be rational via p-adic twisted Fredholm determinants, equipped with a p-adic cohomological formula and an explicit unique p-adic unit root given by A-hypergeometric series.