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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova

Trudy Mat. Inst. Steklov., 1971, Volume 112, Pages 241–255 (Mi tm3044)

Estimates of trigonometric sums by the method of I. M. Vinogradov, and their applications
A. A. Karatsuba

This publication is cited in the following articles:
  1. L. G. Arkhipova, V. N. Chubarikov, “Zamechanie o teoreme o srednem znachenii modulya $L$-funktsii Dirikhle v kriticheskoi polose”, Chebyshevskii sb., 22:1 (2021), 67–75  mathnet  crossref
  2. L. V. Varukhina, “Izbrannye voprosy teorii summatornykh funktsii ryadov Dirikhle”, Chebyshevskii sb., 20:2 (2019), 55–81  mathnet  crossref
  3. O. V. Kolpakova, O. V. Popov, V. N. Chubarikov, “Ob odnom variante metoda Adamara v teorii $L$-funktsii Dirikhle”, Chebyshevskii sb., 20:3 (2019), 282–295  mathnet  crossref
  4. M. A. Korolev, “The estimate of weighted Kloosterman sums by additive shift”, Doklady Mathematics (Supplementary issues), 106:2 (2022), 221–229  mathnet  crossref  crossref  elib
  5. O. V. Kolpakova, “New Estimates of the Remainder in an Asymptotic Formula in the Multidimensional Dirichlet Divisor Problem”, Math. Notes, 89:4 (2011), 504–518  mathnet  crossref  crossref  mathscinet  isi
  6. A. A. Karatsuba, “On fractional parts of rapidly growing functions”, Izv. Math., 65:4 (2001), 727–748  mathnet  crossref  crossref  mathscinet  zmath  elib
  7. A. A. Karatsuba, “An estimate of the $L_1$-norm of an exponential sum”, Math. Notes, 64:3 (1998), 401–404  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
  8. 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


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