NONNEGATIVE MULTIPLICATIVE FUNCTIONS ON SIFTED SETS, AND THE SQUARE ROOTS OF −1 MODULO SHIFTED PRIMES

DOI10.1017/S0017089519000041zbMath1468.11201OpenAlexW2915925709MaRDI QIDQ5203863

Paul Pollack

Publication date: 9 December 2019

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089519000041

zbMATH Keywords

multiplicative functionssifted sets

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36) Distribution modulo one (11J71)

Related Items (1)

Karatsuba's divisor problem and related questions

Cites Work

• On the representation of a number as the sum of two squares and a prime
• Equidistribution of roots of a quadratic congruence to prime moduli
• Summation of multiplicative functions of polynomials
• A Brun-Titschmarsh theorem for multiplicative functions.
• О числе Делителей “Сдвинутых” Простых чисел-Близнецов
• Some applications of Bombieri's theorem
• On an application of the large sieve: Shifted prime numbers, which have no prime divisors from a given arithmetical progression
• Multiplikative Funktionen auf schnell wachsenden Folgen.
• On the distribution of the roots of polynomial congruences
• On the Sum ∑k=1xd(f(k))
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