On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s (Q1661304)

scientific article; zbMATH DE number 6919521

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English	On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s	scientific article; zbMATH DE number 6919521

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instance of

scholarly article

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title

On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s (English)

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author

M. A. Korolev

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published in

Proceedings of the Steklov Institute of Mathematics

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publication date

16 August 2018

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MaRDI profile type

Publication

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cites work

Anatolii Alekseevich Karatsuba (on his 60th birthday)

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О работах Анатолия Алексеевича Карацубы, написанных им в 1990-е и 2000-е годы

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On Karatsuba Conjecture and the Lindelöf Hypothesis

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The polynomial \(X^2+Y^4\) captures its primes

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Reducing character sums to Kloosterman sums

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Concerning the Karatsuba conjectures.

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Character sums in short intervals and the multiplication table modulo a large prime

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THE REPRESENTATION OF RESIDUE CLASSES BY PRODUCTS OF SMALL INTEGERS

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On the Riemann zeta-function -- mean value theorems and the distribution of \(|S(T)|\)

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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

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On the zeros of the Davenport-Heilbronn function

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On zeros of linear combinations of functions of special form related to the Hecke \(L\)-functions of imaginary quadratic fields on short intervals

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Scientific achievements of Anatolii Alekseevich Karatsuba

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On the greatest prime factor of a cubic polynomial.

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The proof of the central limit theorem for theta sums

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On the first moment of the Gauss sum

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О работах Анатолия Алексеевича Карацубы, написанных им в 1990-е и 2000-е годы

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Short Kloosterman sums to powerful modulus

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Karatsuba's method for estimating Kloosterman sums

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On short Kloosterman sums modulo a prime

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Resonance between one-particle (Bogolyubov) and two-particle series for a superfluid in a capillary

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О работах Анатолия Алексеевича Карацубы, написанных им в 1990-е и 2000-е годы

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Squarefree numbers in arithmetic progressions

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On Functional Properties of Incomplete Gaussian Sums

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Selberg's central limit theorem for \(\log|\zeta(1/2+it)|\)

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Selberg's method in the problem about the zeros of linear combinations of \(L\)-functions on the critical line

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On a question of Erdős and Graham

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Value distributions of analogues of Kloosterman's sums

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full work available at URL

https://doi.org/10.1134/s0081543817080016

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Identifiers

zbMATH Open document ID

1395.01058

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DOI

10.1134/S0081543817080016

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1661304