EUDML | On some problems of W. Sierpiński

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Displaying similar documents to “On some problems of W. Sierpiński”

A gap theorem for pseudoprimes in arithmetic progressions

A. Rotkiewicz, H. Halberstam (1968)

Acta Arithmetica

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Some notes on k-th power residues

P. Elliott (1968)

Acta Arithmetica

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A larger sieve

P. Gallagher (1971)

Acta Arithmetica

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Powerful values of quadratic polynomials.

de Koninck, Jean-Marie, Doyon, Nicolas, Luca, Florian (2011)

Journal of Integer Sequences [electronic only]

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On the congruence $a_{1} {(x_{1})}^{k} + . . . + a_{s} {(x_{s})}^{k} = N (m o d p^{n})$

J. Bovey (1973)

Acta Arithmetica

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Arithmetic progressions, prime numbers, and squarefree integers

Stuart Clary, Jacek Fabrykowski (2004)

Czechoslovak Mathematical Journal

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In this paper we establish the distribution of prime numbers in a given arithmetic progression $p \equiv l (m o d k)$ for which $a p + b$ is squarefree.

Non-divisibility of some multiplicative functions

E. Scourfield (1973)

Acta Arithmetica

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On the exceptional set of Lagrange’s equation with three prime and one almost–prime variables

Doychin Tolev (2005)

Journal de Théorie des Nombres de Bordeaux

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We consider an approximation to the popular conjecture about representations of integers as sums of four squares of prime numbers.