Comments to my works, written by myself

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].

List of Research Works, http://www.mi.ras.ru/~karatsuba/list.html .

A. A. Karatsuba, Basic Analytic Number Theory (Nauka, Moscow, 1975) [in Russian].

A. A. Karatsuba, Fundamentos de la teoría analitica de los números (Mir, Moscow, 1979) [in Spanish].

G. I. Arkhipov, A. A. Karatsuba, and V. N. Chubarikov, “Multiple trigonometric sums,” Proc. Steklov Inst. Math. 151(2), 1–126 (1982).

A. A. Karatsuba, Basic Analytic Number Theory, 2nd ed. (Nauka, Moscow, 1983) [in Russian].

G. I. Arkhipov, A. A. Karatsuba, and V. N. Chubarikov, Theory of Multiple Trigonometric Sums (Nauka, Moscow, 1987) [in Russian].

A. A. Karatsuba, Basic Analytic Number Theory (Springer-Verlag, Berlin, 1993).

S. M. Voronin and A. A. Karatsuba, The Riemann Zeta-Function (Fizmatlit, Moscow, 1994; Walter de Gruyter, Berlin, 1992).

A. A. Karatsuba, Complex Analysis in Number Theory (CRC, Boca Raton, FL, 1995).

G. I. Arkhipov, V. N. Chubarikov, and A. A. Karatsuba, Trigonometric Sums in Number Theory and Analysis (Walter de Gruyter, Berlin, 2004).

C. E. Shannon and J. McCarthy, Automata Studies (Princeton Univ. Press, Princeton, NJ, 1956; Inostrannaya Literatura, Moscow, 1956).

Loo-keng Hua, “On the number of solutions of Tarry’s problem,” Acta Sci. Sinica 1, 1–76 (1952).

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

A. Svoboda and M. Valach, “Operational Circuits,” Stroje na Zpracování Informací 3, 247–295 (1956).

V. Strassen, “Gaussian elimination is not optimal,” J. Numer.Math. 13(4), 354–356 (1969).

D. E. Knuth, The Art of Computer Programming, Vol. 2: Seminumerical Algorithms, 3rd ed. (Addison-Wesley, Reading, MA, 1997; Mir, Moscow, 2000).

A. N. Kolmogorov, Selected Works, Vol. 3: Information Theory and the Theory of Algorithms (Nauka, Moscow, 1987) [in Russian].

A. Schönhage and V. Strassen,, “Schnelle Multiplikation großer Zahlen,” Computing 7(3–4), 281–292 (1971)

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].

E. C. Titchmarsh, The Theory of the Riemann Zeta-Function (Clarendon, Oxford, 1951; Inostrannaya Literatura, Moscow, 1953).

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).

G. I. Arkhipov and A. A. Karatsuba, “A problem of comparison theory,” Uspekhi Mat. Nauk 37(5(227)), 161–162 (1982).

Z. I. Borevich and I. R. Shafarevich, Number Theory, 3rd compl. ed. (Nauka, Moscow, 1985) [in Russian].