01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
07.08.1944
E-mail:
,
Keywords:
function additive multiplicative; shifted prime number.
Main publications:
Timofeev N. M. Distribution of number-theoretic functions in short intervals in the mean with respect to progressions // Izv. Akad. Nauk SSSR, Ser. Mat., 1987, 51(2), 341–362.
Indlekofer K.-H., Timofeev N. M. On some subsets of the set of shifted primes // Publ. Math., 1998, 52(3,4), 429–468.
Indlekofer K.-H., Timofeev N. M. A mean-value theorem for multiplicative functions on the set of shifted primes // Ramanujan J., 1998, 2(1,2), 153–165.
Timofeev N. M. Integral limit theorems for sums of additive functions with shifted arguments // Izv. Math., 1995, 59(2), 401–426.
N. M. Timofeev, M. B. Khripunova, “The Concentration Function of Additive Functions with Special Weight”, Mat. Zametki, 76:2 (2004), 265–285; Math. Notes, 76:2 (2004), 244–263
2.
N. M. Timofeev, M. B. Khripunova, “The Concentration Function of Additive Functions with Nonmultiplicative Weight”, Mat. Zametki, 75:6 (2004), 877–894; Math. Notes, 75:6 (2004), 819–835
N. M. Timofeev, S. T. Tulyaganov, “Mean Values of Multiplicative Functions with Weight”, Mat. Zametki, 70:6 (2001), 890–908; Math. Notes, 70:6 (2001), 812–829
2000
4.
N. M. Timofeev, M. B. Khripunova, “On the Difference between the Number of Prime Divisors from Subsets for Consecutive Integers”, Mat. Zametki, 68:5 (2000), 725–738; Math. Notes, 68:5 (2000), 614–626
N. M. Timofeev, “On the difference of the number of prime divisors of consecutive numbers”, Mat. Zametki, 66:4 (1999), 579–595; Math. Notes, 66:4 (1999), 474–488
N. M. Timofeev, S. T. Tulyaganov, “Problems similar to the additive divisor problem”, Mat. Zametki, 64:3 (1998), 443–456; Math. Notes, 64:3 (1998), 382–393
N. M. Timofeev, “Distribution in the mean in progressions of numbers with a large number of prime factors”, Trudy Mat. Inst. Steklova, 218 (1997), 403–414; Proc. Steklov Inst. Math., 218 (1997), 402–413
N. M. Timofeev, M. B. Khripunova, “The Titchmarsh problem with integers having a given number of prime divisors”, Mat. Zametki, 59:4 (1996), 586–603; Math. Notes, 59:4 (1996), 421–434
N. M. Timofeev, “Additive problems for numbers having a given number of prime divisors”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6, 98–101
1995
11.
N. M. Timofeev, “The Hardy–Littlewood problem for numbers with a fixed number of prime divisors”, Izv. RAN. Ser. Mat., 59:6 (1995), 181–206; Izv. Math., 59:6 (1995), 1283–1309
N. M. Timofeev, “The Hardy–Ramanujan and Halasz inequalities for shifted primes”, Mat. Zametki, 57:5 (1995), 747–764; Math. Notes, 57:5 (1995), 522–535
N. M. Timofeev, M. B. Khripunova, “Distribution of numbers with a given number of prime divisors in progressions”, Mat. Zametki, 55:2 (1994), 144–156; Math. Notes, 55:2 (1994), 204–212
N. M. Timofeev, “Arithmetic functions on the set of shifted primes”, Trudy Mat. Inst. Steklov., 207 (1994), 339–346; Proc. Steklov Inst. Math., 207 (1995), 311–317
1993
16.
N. M. Timofeev, “The bound of sums of multiplicative functions with shifted arguments”, Mat. Zametki, 54:5 (1993), 84–98; Math. Notes, 54:5 (1993), 1138–1146
N. M. Timofeev, Kh. Kh. Usmanov, “Distribution of the values of a sum of additive functions with shifted arguments”, Mat. Zametki, 52:5 (1992), 113–124; Math. Notes, 52:5 (1992), 1153–1160
N. M. Timofeev, “Multiplicative functions on the set of shifted prime numbers”, Izv. Akad. Nauk SSSR Ser. Mat., 55:6 (1991), 1238–1256; Math. USSR-Izv., 39:3 (1992), 1189–1207
N. M. Timofeev, “Analog of a theorem of Halász in the case of a generalization of the additive problem of divisors”, Mat. Zametki, 48:1 (1990), 116–127; Math. Notes, 48:1 (1990), 697–704
N. M. Timofeev, “Distribution in the mean of arithmetic functions in short intervals in progressions”, Izv. Akad. Nauk SSSR Ser. Mat., 51:2 (1987), 341–362; Math. USSR-Izv., 30:2 (1988), 315–335
B. V. Levin, N. M. Timofeev, “Mean distribution of arithmetic functions over progressions (theorems of Vinogradov–Bombieri type)”, Mat. Sb. (N.S.), 125(167):4(12) (1984), 558–572; Math. USSR-Sb., 53:2 (1986), 563–580
N. M. Timofeev, “Distribution of values of additive functions on the sequence $\{p+1\}$”, Mat. Zametki, 33:6 (1983), 933–942; Math. Notes, 33:6 (1983), 478–483
B. V. Levin, N. M. Timofeev, “The analogue of the law of large numbers for additive functions on sparse sets”, Mat. Zametki, 18:5 (1975), 687–698; Math. Notes, 18:5 (1975), 1000–1006