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Everything about P-adic gamma function
Mathematical function
In mathematics, the p-adic gamma function Γp is a function of a p-adic variable analogous to the gamma function. It was first explicitly defined by Morita (1975), though Boyarsky (1980) pointed out that Dwork (1964) implicitly used the same function. Diamond (1977) defined a p-adic analog Gp of log Γ. Overholtzer (1952) had previously given a definition of a different p-adic analogue of the gamma function, but his function does not have satisfactory properties and is not used much. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: P-adic gamma functionA 5-minute orientation
- Skim a recent paper: Derangements and the đť‘ť-adic incomplete gamma functionInfluential work since 2022
- Pick up a classic book: p-Adic gamma functionsThe most-reprinted book on the subject
- Read the landmark paper: The trace of Frobenius of elliptic curves and thep-adic gamma functionCited 38 times
- Go sideways: Q-gamma functionA closely related topic
- Go sideways: Barnes G-functionA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The trace of Frobenius of elliptic curves and thep-adic gamma function
On p-adic multiple zeta and log gamma functions
The p-Adic Log Gamma Function and p-Adic Euler Constants
p -Adic gamma function and the trace of Frobenius of elliptic curves
Supercongruences for truncated hypergeometric series and p-adic gamma function
On p-adic Diamond–Euler Log Gamma functions
On Morita's p-adic gamma function
Frobenius map and the p -adic Gamma function
🆕 Influential since 2022
Derangements and the đť‘ť-adic incomplete gamma function
Some Properties of the Generalization of the p-Adic Factorial and the p-Adic Gamma Function
On the differential transcendentality of the Morita p-adic gamma function
Factorial-type recurrence relations and $p$-adic incomplete gamma functions
$$p$$-Adic Incomplete Gamma Functions and Artin-Hasse-Type Series
đź“š Books worth reading
- 📕p-Adic gamma functionsKeith Conrad · 1997
- 📕Advances in non-Archimedean analysisInternational Conference on p-Adic Functional Analysis (11th 2010 Université Blaise Pascal) · 2011
Advances In Ultrametric Analysis 12th International Conference On Padic Functional Analysis July 26 2012 University Of Manitoba Winnipeg CanadaInternational Conference · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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