p-adic L-functions
E1099325
UNEXPLORED
p-adic L-functions are p-adic analytic functions that interpolate special values of complex L-functions and play a central role in modern number theory, particularly in the study of arithmetic properties of Galois representations and algebraic number fields.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Kubota–Leopoldt p-adic L-functions | 1 |
| p-adic L-functions canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T14438320 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: p-adic L-functions Context triple: [Iwasawa theory, studies, p-adic L-functions]
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A.
L-functions
L-functions are complex analytic functions, often arising from number theory and algebraic geometry, that encode deep arithmetic information and generalize the Riemann zeta function.
-
B.
Iwasawa theory
Iwasawa theory is a branch of number theory that studies the growth of arithmetic invariants in infinite towers of number fields, particularly using p-adic methods.
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C.
p-adic numbers
The p-adic numbers are a system of number fields that extend the rational numbers by measuring distance with respect to divisibility by a fixed prime p, playing a central role in modern number theory and arithmetic geometry.
-
D.
Artin L-functions
Artin L-functions are complex analytic functions attached to Galois representations that generalize Dirichlet L-functions and play a central role in number theory and the study of arithmetic properties of fields.
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E.
p-adic Hodge theory
p-adic Hodge theory is a branch of arithmetic geometry that studies p-adic Galois representations and their relationship to the cohomology of algebraic varieties over p-adic fields, using analogues of classical Hodge-theoretic structures.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: p-adic L-functions Target entity description: p-adic L-functions are p-adic analytic functions that interpolate special values of complex L-functions and play a central role in modern number theory, particularly in the study of arithmetic properties of Galois representations and algebraic number fields.
-
A.
L-functions
L-functions are complex analytic functions, often arising from number theory and algebraic geometry, that encode deep arithmetic information and generalize the Riemann zeta function.
-
B.
Iwasawa theory
Iwasawa theory is a branch of number theory that studies the growth of arithmetic invariants in infinite towers of number fields, particularly using p-adic methods.
-
C.
p-adic numbers
The p-adic numbers are a system of number fields that extend the rational numbers by measuring distance with respect to divisibility by a fixed prime p, playing a central role in modern number theory and arithmetic geometry.
-
D.
Artin L-functions
Artin L-functions are complex analytic functions attached to Galois representations that generalize Dirichlet L-functions and play a central role in number theory and the study of arithmetic properties of fields.
-
E.
p-adic Hodge theory
p-adic Hodge theory is a branch of arithmetic geometry that studies p-adic Galois representations and their relationship to the cohomology of algebraic varieties over p-adic fields, using analogues of classical Hodge-theoretic structures.
- F. None of above. chosen
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: p-adic L-functions