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Lavrik Aleksandr Fedorovich

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Total publications: 38
Scientific articles: 37

Number of views:
This page:1001
Abstract pages:4341
Full texts:1942
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. 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
9. Development of the method of density of zeros of Dirichlet $L$-functions
A. F. Lavrik
Mat. Zametki, 17:5 (1975),  809–817
10. 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
11. 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
12. 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
13. 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
14. Periodic Dirichlet functions with Riemann type functional equations. I
A. F. Lavrik
Trudy Mat. Inst. Steklov., 112 (1971),  271–290
15. On zeros of periodic Dirichlet functions
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 192:6 (1970),  1214–1216
16. $L(1,\chi)$ 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
17. The Siegel–Brauer theorem concerning parameters of algebraic number fields
A. F. Lavrik
Mat. Zametki, 8:2 (1970),  259–263
18. Double sums with quadratic character
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 186:1 (1969),  19–21
19. Approximate functional equations for Dirichlet functions
A. F. Lavrik
Izv. Akad. Nauk SSSR Ser. Mat., 32:1 (1968),  134–185
20. The approximate functional equation for Dirichlet $L$-functions
A. F. Lavrik
Tr. Mosk. Mat. Obs., 18 (1968),  91–104
21. Functional and approximate functional equations of the Dirichlet function
A. F. Lavrik
Mat. Zametki, 3:5 (1968),  613–622
22. On functional equations of Dirichlet functions
A. F. Lavrik
Izv. Akad. Nauk SSSR Ser. Mat., 31:2 (1967),  431–442
23. An approximate functional equation for the Hecke zeta-function of an imaginary quadratic field
A. F. Lavrik
Mat. Zametki, 2:5 (1967),  475–482
24. Functional equations of the Dirichlet functions
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 171:2 (1966),  278–280
25. 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
26. The problem of divisors in segments of arithmetical progressions
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 164:6 (1965),  1232–1234
27. 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
28. The theory of quasi-prime numbers
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 152:3 (1963),  544–547
29. Binary case of an additive problem with squares of primes
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 140:3 (1961),  529–532
30. 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
31. 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
32. 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
33. Distribution of $k$-twins of primes
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 132:6 (1960),  1258–1260
34. 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
35. On a theorem in the additive theory of numbers
A. F. Lavrik
Uspekhi Mat. Nauk, 14:1(85) (1959),  197–198
36. Addition of a prime to a prime power of a given prime
A. F. Lavrik
Dokl. Akad. Nauk SSSR, 119:6 (1958),  1085–1087
37. 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

38. 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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