Comments to my works, written by myself

  • A. A. Karatsuba


STEKLOV Institute Critical Line Joint Work Riemann Zeta Function Steklov Mathematical Institute 
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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
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  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].zbMATHGoogle Scholar
  8. 8.
    A. A. Karatsuba, Basic Analytic Number Theory (Springer-Verlag, Berlin, 1993).CrossRefzbMATHGoogle Scholar
  9. 9.
    S. M. Voronin and A. A. Karatsuba, The Riemann Zeta-Function (Fizmatlit, Moscow, 1994; Walter de Gruyter, Berlin, 1992).zbMATHGoogle Scholar
  10. 10.
    A. A. Karatsuba, Complex Analysis in Number Theory (CRC, Boca Raton, FL, 1995).zbMATHGoogle 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).zbMATHGoogle Scholar
  12. 12.
    C. E. Shannon and J. McCarthy, Automata Studies (Princeton Univ. Press, Princeton, NJ, 1956; Inostrannaya Literatura, Moscow, 1956).zbMATHGoogle 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).MathSciNetzbMATHGoogle 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).MathSciNetCrossRefzbMATHGoogle 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)CrossRefzbMATHGoogle 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).zbMATHGoogle 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).MathSciNetzbMATHGoogle 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].zbMATHGoogle Scholar

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  • A. A. Karatsuba

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