The Erdős-Kac theorem for polynomials of several variables
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Publication:5322853
DOI10.1090/S0002-9939-09-09830-XzbMath1266.11098MaRDI QIDQ5322853
Publication date: 23 July 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
prime idealnormal ordercoordinate ringZariski's closurepolynomial of several variablesaffine linear transformation
Polynomials (irreducibility, etc.) (11R09) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32) Other results on the distribution of values or the characterization of arithmetic functions (11N64)
Related Items (3)
Multivariate normal distribution for integral points on varieties ⋮ Divisibility properties of polynomial expressions of random integers ⋮ An Erdős-Kac law for local solubility in families of varieties
Cites Work
- An analogue of the Erdős-Kac theorem for Fourier coefficients of modular forms
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- Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
- Improved explicit estimates on the number of solutions of equations over a finite field
- Prime analogues of the Erdős-Kac theorem for elliptic curves
- Sieving and expanders
- New Erdős-Kac type theorems
- An Erdös-Kac theorem for integers without large prime factors
- On the Distribution of Additive Number-Theoretic Functions (II)
- A Generalization of the Erdös-Kac Theorem and its Applications
- On a Theorem of Hardy and Ramanujan
- Non-Abelian Generalizations of the Erdős-Kac Theorem
- SIEVING AND THE ERDŐS–KAC THEOREM
- Prime Divisors of the Number of Rational Points on Elliptic Curves with Complex Multiplication
- Number of Points of Varieties in Finite Fields
- An Erdős-Kac theorem for systems of \(q\)-additive functions
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