A Course in Number Theory and Cryptography
E831064
A Course in Number Theory and Cryptography is a widely used textbook that introduces fundamental concepts of number theory with a strong emphasis on their applications to modern cryptography.
All labels observed (1)
| Label | Occurrences |
|---|---|
| A Course in Number Theory and Cryptography canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9931755 — 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: A Course in Number Theory and Cryptography Context triple: [Neal Koblitz, authorOf, A Course in Number Theory and Cryptography]
-
A.
A Course in Arithmetic
A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
-
B.
An Introduction to the Theory of Numbers
An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
-
C.
Three Pearls of Number Theory
Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
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D.
Number Theory: An Approach through History from Hammurapi to Legendre
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
-
E.
NTIC
NTIC is the commonly used abbreviation for the National Telecommunications and Information Council, a governmental body focused on telecommunications and information policy.
- 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: A Course in Number Theory and Cryptography Target entity description: A Course in Number Theory and Cryptography is a widely used textbook that introduces fundamental concepts of number theory with a strong emphasis on their applications to modern cryptography.
-
A.
A Course in Arithmetic
A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
-
B.
An Introduction to the Theory of Numbers
An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
-
C.
Three Pearls of Number Theory
Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
-
D.
Number Theory: An Approach through History from Hammurapi to Legendre
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
-
E.
NTIC
NTIC is the commonly used abbreviation for the National Telecommunications and Information Council, a governmental body focused on telecommunications and information policy.
- F. None of above. chosen
Statements (33)
| Predicate | Object |
|---|---|
| instanceOf |
cryptography textbook
ⓘ
mathematics book ⓘ textbook ⓘ |
| approach |
application-oriented
ⓘ
rigorous mathematical treatment ⓘ |
| author | Neal Koblitz NERFINISHED ⓘ |
| contains |
exercises
ⓘ
worked examples ⓘ |
| emphasis | applications of number theory to cryptography ⓘ |
| field |
cryptography
ⓘ
number theory ⓘ |
| focus |
modern cryptographic methods
ⓘ
number-theoretic foundations of cryptography ⓘ |
| intendedAudience |
advanced undergraduates
ⓘ
graduate students ⓘ researchers in cryptography ⓘ |
| language | English ⓘ |
| publisher | Springer NERFINISHED ⓘ |
| series | Graduate Texts in Mathematics NERFINISHED ⓘ |
| topic |
RSA cryptosystem
NERFINISHED
ⓘ
congruences ⓘ cryptographic protocols ⓘ discrete logarithm problem ⓘ elementary number theory ⓘ elliptic curve cryptography ⓘ factorization algorithms ⓘ finite fields ⓘ modular arithmetic ⓘ primitive roots ⓘ pseudorandom number generation ⓘ public-key cryptography ⓘ quadratic residues ⓘ |
| usedAs | university course textbook ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: A Course in Number Theory and Cryptography Description of subject: A Course in Number Theory and Cryptography is a widely used textbook that introduces fundamental concepts of number theory with a strong emphasis on their applications to modern cryptography.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.