On the distribution of prime numbers which are of the form $x^2 + y^2 +1$

DOI10.4064/aa-16-4-351-364zbMath0205.06801OpenAlexW2072425461MaRDI QIDQ5604593

Yoichi Motohashi

Publication date: 1970

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/204933

Mathematics Subject Classification ID

Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (11)

A note on the mean value of the zeta and L-functions. IV, V ⋮ On the distribution of prime numbers which are of the form “x2+y2+1” ⋮ Some properties of specially multiplicative functions ⋮ A note on the mean value of the zeta and \(L\)-functions. IX ⋮ Carmichael numbers with a totient of the form \(a^2+nb^2\) ⋮ An asymptotic formula in the theory of numbers ⋮ Über die Anzahl der Gitterpunkte auf Kreisen mit quadratfreien Radienquadraten ⋮ The Green-Tao theorem for primes of the form \(x^2+y^2+1\) ⋮ Über B-Zwillinge ⋮ Eine asymptotische Formel in der Zahlentheorie ⋮ Correlations of Sums of Two Squares and Other Arithmetic Functions in Function Fields

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