Iwaniec and Kowalski, Analytic Number Theory
E1563174
UNEXPLORED
"Iwaniec and Kowalski, Analytic Number Theory" is a comprehensive graduate-level textbook that systematically develops modern analytic methods in number theory, including prime distribution, sieve methods, and L-functions.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Iwaniec and Kowalski, Analytic Number Theory canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T22964951 — 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: Iwaniec and Kowalski, Analytic Number Theory Context triple: [Bombieri–Vinogradov theorem, standardReference, Iwaniec and Kowalski, Analytic Number Theory]
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A.
Multiplicative Number Theory I. Classical Theory (Hugh L. Montgomery, Robert C. Vaughan)
Multiplicative Number Theory I. Classical Theory (by Hugh L. Montgomery and Robert C. Vaughan) is a foundational graduate-level textbook that systematically develops the classical theory of multiplicative number theory, including Dirichlet characters, L-functions, and the distribution of prime numbers.
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B.
Multiplicative Number Theory
Multiplicative Number Theory is a branch of analytic number theory that studies arithmetic functions and prime number distributions through their multiplicative properties and associated Dirichlet series.
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C.
A. Ivić, The Riemann Zeta-Function
"A. Ivić, The Riemann Zeta-Function" is a comprehensive monograph on the analytic theory of the Riemann zeta function, widely regarded as a standard modern reference in analytic number theory.
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D.
Selberg–Delange method results
Selberg–Delange method results are asymptotic formulas in analytic number theory that precisely describe the average order and distribution of multiplicative arithmetic functions using complex-analytic techniques.
-
E.
Linnik’s theorem on the least prime in an arithmetic progression
Linnik’s theorem on the least prime in an arithmetic progression is a result in analytic number theory that gives an explicit upper bound, depending only on the modulus, for the size of the smallest prime in any given coprime residue class.
- 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: Iwaniec and Kowalski, Analytic Number Theory Target entity description: "Iwaniec and Kowalski, Analytic Number Theory" is a comprehensive graduate-level textbook that systematically develops modern analytic methods in number theory, including prime distribution, sieve methods, and L-functions.
-
A.
Multiplicative Number Theory I. Classical Theory (Hugh L. Montgomery, Robert C. Vaughan)
Multiplicative Number Theory I. Classical Theory (by Hugh L. Montgomery and Robert C. Vaughan) is a foundational graduate-level textbook that systematically develops the classical theory of multiplicative number theory, including Dirichlet characters, L-functions, and the distribution of prime numbers.
-
B.
Multiplicative Number Theory
Multiplicative Number Theory is a branch of analytic number theory that studies arithmetic functions and prime number distributions through their multiplicative properties and associated Dirichlet series.
-
C.
A. Ivić, The Riemann Zeta-Function
"A. Ivić, The Riemann Zeta-Function" is a comprehensive monograph on the analytic theory of the Riemann zeta function, widely regarded as a standard modern reference in analytic number theory.
-
D.
Selberg–Delange method results
Selberg–Delange method results are asymptotic formulas in analytic number theory that precisely describe the average order and distribution of multiplicative arithmetic functions using complex-analytic techniques.
-
E.
Linnik’s theorem on the least prime in an arithmetic progression
Linnik’s theorem on the least prime in an arithmetic progression is a result in analytic number theory that gives an explicit upper bound, depending only on the modulus, for the size of the smallest prime in any given coprime residue class.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.