Some problems of contemporary analytic number theory

DOI10.1007/BF01161880zbMath0315.10039MaRDI QIDQ1220969

Anatolii A. Karatsuba

Publication date: 1975

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

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Distribution of integers in special residue classes (11N69) Sieves (11N35)

Related Items (15)

Limit theorem for Dirichlet \(L\)-functions on the critical line ⋮ Sums of values of nonprincipal characters over a sequence of shifted primes ⋮ A limit theorem for Dirichlet \(L\)-series ⋮ Partition into terms with prime numbers ⋮ On the mean values of the function \(\tau_k(n)\) in sequences of natural numbers ⋮ A. F. Lavrik's truncated equations ⋮ Scientific achievements of Anatolii Alekseevich Karatsuba ⋮ Representation of natural numbers in the form \(n=p^ k+\)(sum of prime powers) ⋮ A property of the set of primes as a multiplicative basis of the natural numbers ⋮ Comments to my works, written by myself ⋮ Absolute convergence of multiple Fourier series ⋮ An elementary estimate of G(n) in Waring's problem ⋮ Mean value of Weyl sums ⋮ On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke \(L\)-functions on the critical line ⋮ Sums of Values of Nonprincipal Characters over Shifted Primes

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