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Izv. Akad. Nauk SSSR Ser. Mat., 1958, Volume 22, Issue 2, Pages 161–164 (Mi izv3962)  

This article is cited in 11 scientific papers (total in 12 papers)

A new estimate of the function $\zeta(1+it)$

I. M. Vinogradov


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Received: 04.11.1957

Citation: I. M. Vinogradov, “A new estimate of the function $\zeta(1+it)$”, Izv. Akad. Nauk SSSR Ser. Mat., 22:2 (1958), 161–164

Citation in format AMSBIB
\Bibitem{Vin58}
\by I.~M.~Vinogradov
\paper A~new estimate of the function $\zeta(1+it)$
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1958
\vol 22
\issue 2
\pages 161--164
\mathnet{http://mi.mathnet.ru/izv3962}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=103861}
\zmath{https://zbmath.org/?q=an:0097.26302}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. B. V. Levin, A. S. Fainleib, “Аpplication of some integral equations to problems of number theory”, Russian Math. Surveys, 22:3 (1967), 119–204  mathnet  crossref  mathscinet  zmath
    2. A. A. Karatsuba, “Uniform approximation of the remainder term in the Dirichlet divisor problem”, Math. USSR-Izv., 6:3 (1972), 467–475  mathnet  crossref  mathscinet  zmath
    3. A. F. Lavrik, “A survey of Linnik's large sieve and the density theory of zeros of $L$-functions”, Russian Math. Surveys, 35:2 (1980), 63–76  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. A. A. Karatsuba, “The Riemann zeta function and its zeros”, Russian Math. Surveys, 40:5 (1985), 23–82  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    5. A. A. Karatsuba, “The distribution of prime numbers”, Russian Math. Surveys, 45:5 (1990), 99–171  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. S. B. Stechkin, A. Yu. Popov, “The asymptotic distribution of prime numbers on the average”, Russian Math. Surveys, 51:6 (1996), 1025–1092  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    7. A. A. Karatsuba, “Omega Theorems for Zeta Sums”, Math. Notes, 73:2 (2003), 212–217  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. A. A. Karatsuba, “Comments to My Works, Written by Myself”, Proc. Steklov Inst. Math., 282, suppl. 1 (2013), S1–S23  mathnet  crossref  crossref  isi  elib
    9. D. R. Heath-Brown, “A new $k$th derivative estimate for exponential sums via Vinogradov's mean value”, Proc. Steklov Inst. Math., 296 (2017), 88–103  mathnet  crossref  crossref  mathscinet  isi  elib
    10. A. Ivić, “Hardy's function $Z(t)$: Results and problems”, Proc. Steklov Inst. Math., 296 (2017), 104–114  mathnet  crossref  crossref  mathscinet  isi  elib
    11. M. P. Mineev, V. N. Chubarikov, “I.M. Vinogradov's method in number theory and its current development”, Proc. Steklov Inst. Math., 296 (2017), 1–17  mathnet  crossref  crossref  mathscinet  isi  elib
    12. M. R. Gabdullin, “Estimates for character sums in finite fields of order $p^2$ and $p^3$”, Proc. Steklov Inst. Math., 303 (2018), 36–49  mathnet  crossref  crossref  isi  elib
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