Comments to my works, written by myself

  • A. A. Karatsuba


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  1. 1.
    Proceedings of Steklov Mathematical Institute, Russian Academy of Sciences, Vol. 207: Number Theory and Analysis: Proceedings of the International Conference on Number Theory Dedicated to the 100th Birthday of Academician I.M. Vinogradov, Ed. by E. F. Mishchenko and A. A. Karatsuba (Nauka, Moscow, 1994) [in Russian].Google Scholar
  2. 2.
  3. 3.
    A. A. Karatsuba, Basic Analytic Number Theory (Nauka, Moscow, 1975) [in Russian].Google Scholar
  4. 4.
    A. A. Karatsuba, Fundamentos de la teoría analitica de los números (Mir, Moscow, 1979) [in Spanish].Google Scholar
  5. 5.
    G. I. Arkhipov, A. A. Karatsuba, and V. N. Chubarikov, “Multiple trigonometric sums,” Proc. Steklov Inst. Math. 151(2), 1–126 (1982).Google Scholar
  6. 6.
    A. A. Karatsuba, Basic Analytic Number Theory, 2nd ed. (Nauka, Moscow, 1983) [in Russian].Google Scholar
  7. 7.
    G. I. Arkhipov, A. A. Karatsuba, and V. N. Chubarikov, Theory of Multiple Trigonometric Sums (Nauka, Moscow, 1987) [in Russian].MATHGoogle Scholar
  8. 8.
    A. A. Karatsuba, Basic Analytic Number Theory (Springer-Verlag, Berlin, 1993).CrossRefMATHGoogle Scholar
  9. 9.
    S. M. Voronin and A. A. Karatsuba, The Riemann Zeta-Function (Fizmatlit, Moscow, 1994; Walter de Gruyter, Berlin, 1992).MATHGoogle Scholar
  10. 10.
    A. A. Karatsuba, Complex Analysis in Number Theory (CRC, Boca Raton, FL, 1995).MATHGoogle Scholar
  11. 11.
    G. I. Arkhipov, V. N. Chubarikov, and A. A. Karatsuba, Trigonometric Sums in Number Theory and Analysis (Walter de Gruyter, Berlin, 2004).MATHGoogle Scholar
  12. 12.
    C. E. Shannon and J. McCarthy, Automata Studies (Princeton Univ. Press, Princeton, NJ, 1956; Inostrannaya Literatura, Moscow, 1956).MATHGoogle Scholar
  13. 13.
    Loo-keng Hua, “On the number of solutions of Tarry’s problem,” Acta Sci. Sinica 1, 1–76 (1952).MathSciNetGoogle Scholar
  14. 14.
    I.M. Vinogradov, “A new estimate of the function ξ(1 + it),” Izv. Akad. Nauk SSSR. Ser. Mat. 22(2), 161–164 (1958).MathSciNetMATHGoogle Scholar
  15. 15.
    A. Svoboda and M. Valach, “Operational Circuits,” Stroje na Zpracování Informací 3, 247–295 (1956).MathSciNetGoogle Scholar
  16. 16.
    V. Strassen, “Gaussian elimination is not optimal,” J. Numer.Math. 13(4), 354–356 (1969).MathSciNetCrossRefMATHGoogle Scholar
  17. 17.
    D. E. Knuth, The Art of Computer Programming, Vol. 2: Seminumerical Algorithms, 3rd ed. (Addison-Wesley, Reading, MA, 1997; Mir, Moscow, 2000).Google Scholar
  18. 18.
    A. N. Kolmogorov, Selected Works, Vol. 3: Information Theory and the Theory of Algorithms (Nauka, Moscow, 1987) [in Russian].Google Scholar
  19. 19.
    A. Schönhage and V. Strassen,, “Schnelle Multiplikation großer Zahlen,” Computing 7(3–4), 281–292 (1971)CrossRefMATHGoogle Scholar
  20. 20.
    A. A. Karatsuba, “Appendix No. 4,” in Hua Lo-gen, Method of Trigonometric Sums and Its Application in Number Theory, (Mir, Moscow, 1964), pp. 180–187 [in Russian].Google Scholar
  21. 21.
    E. C. Titchmarsh, The Theory of the Riemann Zeta-Function (Clarendon, Oxford, 1951; Inostrannaya Literatura, Moscow, 1953).MATHGoogle Scholar
  22. 22.
    G. I. Arkhipov and A. A. Karatsuba, “Local representation of zero by a form,” Izv. Akad. Nauk SSSR. Ser. Mat. 45(5), 948–961 (1981).MathSciNetMATHGoogle Scholar
  23. 23.
    G. I. Arkhipov and A. A. Karatsuba, “A problem of comparison theory,” Uspekhi Mat. Nauk 37(5(227)), 161–162 (1982).MathSciNetGoogle Scholar
  24. 24.
    Z. I. Borevich and I. R. Shafarevich, Number Theory, 3rd compl. ed. (Nauka, Moscow, 1985) [in Russian].MATHGoogle Scholar

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