The degree of the splitting field of a random polynomial over a finite field.

Dixon, John D.; Panario, Daniel

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Common summands in partitions

Hang-Fai Yeung (1992)

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Counting irreducible polynomials over finite fields

Qichun Wang, Haibin Kan (2010)

Czechoslovak Mathematical Journal

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In this paper we generalize the method used to prove the Prime Number Theorem to deal with finite fields, and prove the following theorem: $π (x) = \frac{q}{q - 1} \frac{x}{{log}_{q} x} + \frac{q}{{(q - 1)}^{2}} \frac{x}{{log}_{q}^{2} x} + O (\frac{x}{{log}_{q}^{3} x}), x = q^{n} \to \infty$ where $π (x)$ denotes the number of monic irreducible polynomials in $F_{q} [t]$ with norm $\leq x$ .

An Omega theorem on differences of two squares.

Kühleitner, M. (1992)

Acta Mathematica Universitatis Comenianae. New Series

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Kellner, Bernd C. (2009)

Integers

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Approximation of $π (x)$ by $Ψ (x)$ .

Hassani, Mehdi (2006)

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Logarithmic coefficients of univalent functions.

Girela, Daniel (2000)

Annales Academiae Scientiarum Fennicae. Mathematica

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Some subclasses of close-to-convex functions

Adam Lecko (1993)

Annales Polonici Mathematici

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For α ∈ [0,1] and β ∈ (-π/2,π/2) we introduce the classes $C_{β} (α)$ defined as follows: a function f regular in U = z: |z| < 1 of the form $f (z) = z + \sum_{n = 1}^{\infty} a_{n} z^{n}$ , z ∈ U, belongs to the class $C_{β} (α)$ if $R e e^{i β} (1 - α ² z ²) f^{'} (z) < 0$ for z ∈ U. Estimates of the coefficients, distortion theorems and other properties of functions in $C_{β} (α)$ are examined.

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Fulman, Jason (2004)

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On a multiplicative partition function.

Yang, Yifan (2001)

The Electronic Journal of Combinatorics [electronic only]

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Simic, Slavko (2007)

Journal of Inequalities and Applications [electronic only]

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