On the greatest prime factor of $n^2+1$

Jean-Marc Deshouillers; Henryk Iwaniec

The search session has expired. Please query the service again.

Displaying similar documents to “On the greatest prime factor of $n^{2} + 1$ ”

$P_{2}$ in short intervals

Henryk Iwaniec, M. Laborde (1981)

Annales de l'institut Fourier

Similarity:

For any sufficiently large real number $x$ , the interval $[x, x + x^{0, 45}]$ contains at least one integer having at most two prime factors .

Further developments in the comparative prime number theory II

Stanisław Knapowski, P. Turán (1964)

Acta Arithmetica

Similarity:

On primes in arithmetic progressions

J. van Lint, H. Richert (1965)

Acta Arithmetica

Similarity:

On Vinogradov's estimate of trigonometric sums and the Goldbach-Vinogradov theorem

Stephen Wainger (1971)

Mémoires de la Société Mathématique de France

Similarity:

Further developments in the comparative prime-number theory IV

P. Turán, Stanisław Knapowski (1965)

Acta Arithmetica

Similarity:

The complex sum of digits function and primes

Jörg M. Thuswaldner (2000)

Journal de théorie des nombres de Bordeaux

Similarity:

Canonical number systems in the ring of gaussian integers $ℤ [i]$ are the natural generalization of ordinary $q$ -adic number systems to $ℤ [i]$ . It turns out, that each gaussian integer has a unique representation with respect to the powers of a certain base number $b$ . In this paper we investigate the sum of digits function $ν_{b}$ of such number systems. First we prove a theorem on the sum of digits of numbers, that are not divisible by the $f$ -th power of a prime. Furthermore, we establish an Erdös-Kac type...

Further developments in the comparative prime-number theory III

P. Turán, Stanisław Knapowski (1965)

Acta Arithmetica

Similarity:

On a conjecture of R. L. Graham

R. Balasubramanian, K. Soundararajan (1996)

Acta Arithmetica

Similarity:

Displaying similar documents to “On the greatest prime factor of n 2 + 1 ”

Displaying similar documents to “On the greatest prime factor of $n^{2} + 1$ ”