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Lavrik Aleksandr Fedorovich

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Total publications: 39
Scientific articles: 38

Number of views:
This page:1031
Abstract pages:4589
Full texts:2056
References:153

http://www.mathnet.ru/eng/person21554
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/214702

Publications in Math-Net.Ru
1. The simplest equivalent of the Riemann hypothesis
A. F. Lavrik, A. A. Lavrik-Mennlin
Chebyshevskii Sb., 1:1 (2001),  50–51
2. The equation of the zeta function and a segment of the Euler product
A. F. Lavrik
Trudy Mat. Inst. Steklov., 207 (1994),  231–234
3. Equations of Dirichlet $L$-functions and the intervals of their Eulerian products according to prime numbers
A. F. Lavrik
Uspekhi Mat. Nauk, 47:2(284) (1992),  199–200
4. Arithmetical equivalents of functional equations of Riemannian type
A. F. Lavrik
Trudy Mat. Inst. Steklov., 200 (1991),  213–221
5. Functional equations with parameter of zeta-functions
A. F. Lavrik
Izv. Akad. Nauk SSSR Ser. Mat., 54:3 (1990),  501–521
6. Methods of studying the law of distribution of primes
A. F. Lavrik
Trudy Mat. Inst. Steklov., 163 (1984),  118–142
7. A survey of Linnik's large sieve and the density theory of zeros of $L$-functions
A. F. Lavrik
Uspekhi Mat. Nauk, 35:2(212) (1980),  55–65
8. On the integrals of the square of the absolute value of trigonometric polynomials over the prime numbers
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 227:3 (1976),  551–554
9. The principal term of the divisor problem and the power series of the Riemann zeta-function in a neighborhood of a pole
A. F. Lavrik
Trudy Mat. Inst. Steklov., 142 (1976),  165–173
10. Development of the method of density of zeros of Dirichlet $L$-functions
A. F. Lavrik
Mat. Zametki, 17:5 (1975),  809–817
11. On the remainder term in the elementary proof of the prime number theorem
A. F. Lavrik, A. Sh. Sobirov
Dokl. Akad. Nauk SSSR, 211:3 (1973),  534–536
12. The principal of nonstandard functional equations theory for Dirichlet's functions, consequences and applications of it
A. F. Lavrik
Trudy Mat. Inst. Steklov., 132 (1973),  70–76
13. On the moments of the class number of primitive quadratic forms with negative discriminant
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 197:1 (1971),  32–35
14. A method for estimating double sums with real quadratic character, and applications
A. F. Lavrik
Izv. Akad. Nauk SSSR Ser. Mat., 35:6 (1971),  1189–1207
15. Periodic Dirichlet functions with Riemann type functional equations. I
A. F. Lavrik
Trudy Mat. Inst. Steklov., 112 (1971),  271–290
16. On zeros of periodic Dirichlet functions
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 192:6 (1970),  1214–1216
17. $L(1,\chi)$ with real Dirichlet character on sparse sets of values of the modulus of the character
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 190:6 (1970),  1286–1288
18. The Siegel–Brauer theorem concerning parameters of algebraic number fields
A. F. Lavrik
Mat. Zametki, 8:2 (1970),  259–263
19. Double sums with quadratic character
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 186:1 (1969),  19–21
20. Approximate functional equations for Dirichlet functions
A. F. Lavrik
Izv. Akad. Nauk SSSR Ser. Mat., 32:1 (1968),  134–185
21. The approximate functional equation for Dirichlet $L$-functions
A. F. Lavrik
Tr. Mosk. Mat. Obs., 18 (1968),  91–104
22. Functional and approximate functional equations of the Dirichlet function
A. F. Lavrik
Mat. Zametki, 3:5 (1968),  613–622
23. On functional equations of Dirichlet functions
A. F. Lavrik
Izv. Akad. Nauk SSSR Ser. Mat., 31:2 (1967),  431–442
24. An approximate functional equation for the Hecke zeta-function of an imaginary quadratic field
A. F. Lavrik
Mat. Zametki, 2:5 (1967),  475–482
25. Functional equations of the Dirichlet functions
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 171:2 (1966),  278–280
26. Functional equation for Dirichlet $L$-functions and the problem of divisors in arithmetic progressions
A. F. Lavrik
Izv. Akad. Nauk SSSR Ser. Mat., 30:2 (1966),  433–448
27. The problem of divisors in segments of arithmetical progressions
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 164:6 (1965),  1232–1234
28. The sum over the characters of powers of the modulus of the Dirichlet $L$-function in the critical strip
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 154:1 (1964),  34–37
29. The theory of quasi-prime numbers
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 152:3 (1963),  544–547
30. Binary case of an additive problem with squares of primes
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 140:3 (1961),  529–532
31. On the theory of the distribution of sets of primes with given differences between them
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 138:6 (1961),  1287–1290
32. The number of $k$-twin primes lying on an interval of a given length
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 136:2 (1961),  281–283
33. On the theory of distribution of primes based on I. M. Vinogradov's method of trigonometric sums
A. F. Lavrik
Trudy Mat. Inst. Steklov., 64 (1961),  90–125
34. Distribution of $k$-twins of primes
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 132:6 (1960),  1258–1260
35. On the twin prime hypothesis of the theory of primes by the method of I. M. Vinogradov
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 132:5 (1960),  1013–1015
36. On a theorem in the additive theory of numbers
A. F. Lavrik
Uspekhi Mat. Nauk, 14:1(85) (1959),  197–198
37. Addition of a prime to a prime power of a given prime
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 119:6 (1958),  1085–1087
38. Representation of numbers as a sum composed of a prime and a power of a given integer
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 115:3 (1957),  445–446

39. Nikolai Grigor'evich Chudakov (obituary)
B. M. Bredikhin, V. E. Voskresenskii, A. A. Karatsuba, A. F. Lavrik, A. V. Malyshev, A. G. Postnikov, V. G. Sprindzhuk
Uspekhi Mat. Nauk, 42:5(257) (1987),  189–190

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