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Comments to my works, written by myself. (English. Russian original) Zbl 1302.01045

Proc. Steklov Inst. Math. 282, Suppl. 1, S1-S23 (2013); translation from Sovrem. Probl. Mat. 17, 7-29 (2013).
Summary: In the mid-1980s, Anatolii Alekseevich Karatsuba made, for himself, a chronological collection of xerocopies of his papers in four volumes provided with hand-written comments. The present paper is compiled from fragments of these records (in fact, a diary): some of Karatsuba’s comments are cited completely, while some others, only partially (compilers’ explanations are given in footnotes; the omitted lines are replaced by asterisks and the omitted words are replaced by dots).

MSC:

01A70 Biographies, obituaries, personalia, bibliographies
68-03 History of computer science
11-03 History of number theory
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[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].
[2] List of Research Works, http://www.mi.ras.ru/ karatsuba/list.html .
[3] A. A. Karatsuba, Basic Analytic Number Theory (Nauka, Moscow, 1975) [in Russian]. · Zbl 0315.10039
[4] A. A. Karatsuba, Fundamentos de la teoría analitica de los números (Mir, Moscow, 1979) [in Spanish].
[5] G. I. Arkhipov, A. A. Karatsuba, and V. N. Chubarikov, ”Multiple trigonometric sums,” Proc. Steklov Inst. Math. 151(2), 1–126 (1982). · Zbl 0489.10030
[6] A. A. Karatsuba, Basic Analytic Number Theory, 2nd ed. (Nauka, Moscow, 1983) [in Russian].
[7] G. I. Arkhipov, A. A. Karatsuba, and V. N. Chubarikov, Theory of Multiple Trigonometric Sums (Nauka, Moscow, 1987) [in Russian]. · Zbl 0638.10037
[8] A. A. Karatsuba, Basic Analytic Number Theory (Springer-Verlag, Berlin, 1993). · Zbl 0767.11001
[9] S. M. Voronin and A. A. Karatsuba, The Riemann Zeta-Function (Fizmatlit, Moscow, 1994; Walter de Gruyter, Berlin, 1992). · Zbl 0756.11022
[10] A. A. Karatsuba, Complex Analysis in Number Theory (CRC, Boca Raton, FL, 1995). · Zbl 0856.11038
[11] G. I. Arkhipov, V. N. Chubarikov, and A. A. Karatsuba, Trigonometric Sums in Number Theory and Analysis (Walter de Gruyter, Berlin, 2004). · Zbl 1074.11043
[12] C. E. Shannon and J. McCarthy, Automata Studies (Princeton Univ. Press, Princeton, NJ, 1956; Inostrannaya Literatura, Moscow, 1956). · Zbl 0074.11204
[13] Loo-keng Hua, ”On the number of solutions of Tarry’s problem,” Acta Sci. Sinica 1, 1–76 (1952).
[14] I.M. Vinogradov, ”A new estimate of the function {\(\xi\)}(1 + it),” Izv. Akad. Nauk SSSR. Ser. Mat. 22(2), 161–164 (1958). · Zbl 0097.26302
[15] A. Svoboda and M. Valach, ”Operational Circuits,” Stroje na Zpracování Informací 3, 247–295 (1956).
[16] V. Strassen, ”Gaussian elimination is not optimal,” J. Numer.Math. 13(4), 354–356 (1969). · Zbl 0185.40101 · doi:10.1007/BF02165411
[17] D. E. Knuth, The Art of Computer Programming, Vol. 2: Seminumerical Algorithms, 3rd ed. (Addison-Wesley, Reading, MA, 1997; Mir, Moscow, 2000). · Zbl 0191.18001
[18] A. N. Kolmogorov, Selected Works, Vol. 3: Information Theory and the Theory of Algorithms (Nauka, Moscow, 1987) [in Russian].
[19] A. Schönhage and V. Strassen,, ”Schnelle Multiplikation großer Zahlen,” Computing 7(3–4), 281–292 (1971) · Zbl 0223.68007 · doi:10.1007/BF02242355
[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].
[21] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function (Clarendon, Oxford, 1951; Inostrannaya Literatura, Moscow, 1953). · Zbl 0042.07901
[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). · Zbl 0476.10018
[23] G. I. Arkhipov and A. A. Karatsuba, ”A problem of comparison theory,” Uspekhi Mat. Nauk 37(5(227)), 161–162 (1982). · Zbl 0508.10012
[24] Z. I. Borevich and I. R. Shafarevich, Number Theory, 3rd compl. ed. (Nauka, Moscow, 1985) [in Russian].
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