Lavrik Aleksandr Fedorovich

Publications in Math-Net.Ru

1. The simplest equivalent of the Riemann hypothesis
   
   Chebyshevskii Sb., 1:1 (2001),  50–51
2. The equation of the zeta function and a segment of the Euler product
   
   Trudy Mat. Inst. Steklov., 207 (1994),  231–234
3. An approximate functional equation for the zeta function and a part of the Euler product over prime numbers
   
   Dokl. Akad. Nauk, 326:1 (1992),  22–25
4. Equations of Dirichlet $L$-functions and the intervals of their Eulerian products according to prime numbers
   
   Uspekhi Mat. Nauk, 47:2(284) (1992),  199–200
5. A functional equation of the Riemann zeta function and an interval of the Euler product
   
   Dokl. Akad. Nauk SSSR, 320:1 (1991),  29–33
6. Arithmetical equivalents of functional equations of Riemannian type
   
   Trudy Mat. Inst. Steklov., 200 (1991),  213–221
7. Functional equations with parameter of zeta-functions
   
   Izv. Akad. Nauk SSSR Ser. Mat., 54:3 (1990),  501–521
8. Closed triplicity of functional equations of zeta functions
   
   Dokl. Akad. Nauk SSSR, 308:5 (1989),  1044–1046
9. Methods of studying the law of distribution of primes
   
   Trudy Mat. Inst. Steklov., 163 (1984),  118–142
10. A survey of Linnik's large sieve and the density theory of zeros of $L$-functions
    
    Uspekhi Mat. Nauk, 35:2(212) (1980),  55–65
11. An analytic method of estimating trigonometric sums over primes in an arithmetic progression
    
    Dokl. Akad. Nauk SSSR, 248:5 (1979),  1059–1063
12. On the integrals of the square of the absolute value of trigonometric polynomials over the prime numbers
    
    Dokl. Akad. Nauk SSSR, 227:3 (1976),  551–554
13. The principal term of the divisor problem and the power series of the Riemann zeta-function in a neighborhood of a pole
    
    Trudy Mat. Inst. Steklov., 142 (1976),  165–173
14. Development of the method of density of zeros of Dirichlet $L$-functions
    
    Mat. Zametki, 17:5 (1975),  809–817
15. On the remainder term in the elementary proof of the prime number theorem
    
    Dokl. Akad. Nauk SSSR, 211:3 (1973),  534–536
16. The principal of nonstandard functional equations theory for Dirichlet's functions, consequences and applications of it
    
    Trudy Mat. Inst. Steklov., 132 (1973),  70–76
17. On the moments of the class number of primitive quadratic forms with negative discriminant
    
    Dokl. Akad. Nauk SSSR, 197:1 (1971),  32–35
18. A method for estimating double sums with real quadratic character, and applications
    
    Izv. Akad. Nauk SSSR Ser. Mat., 35:6 (1971),  1189–1207
19. Periodic Dirichlet functions with Riemann type functional equations. I
    
    Trudy Mat. Inst. Steklov., 112 (1971),  271–290
20. On zeros of periodic Dirichlet functions
    
    Dokl. Akad. Nauk SSSR, 192:6 (1970),  1214–1216
21. $L(1,\chi)$ with real Dirichlet character on sparse sets of values of the modulus of the character
    
    Dokl. Akad. Nauk SSSR, 190:6 (1970),  1286–1288
22. The Siegel–Brauer theorem concerning parameters of algebraic number fields
    
    Mat. Zametki, 8:2 (1970),  259–263
23. Double sums with quadratic character
    
    Dokl. Akad. Nauk SSSR, 186:1 (1969),  19–21
24. Approximate functional equations for Dirichlet functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 32:1 (1968),  134–185
25. The approximate functional equation for Dirichlet $L$-functions
    
    Tr. Mosk. Mat. Obs., 18 (1968),  91–104
26. Functional and approximate functional equations of the Dirichlet function
    
    Mat. Zametki, 3:5 (1968),  613–622
27. On functional equations of Dirichlet functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 31:2 (1967),  431–442
28. An approximate functional equation for the Hecke zeta-function of an imaginary quadratic field
    
    Mat. Zametki, 2:5 (1967),  475–482
29. Functional equations of the Dirichlet functions
    
    Dokl. Akad. Nauk SSSR, 171:2 (1966),  278–280
30. Functional equation for Dirichlet $L$-functions and the problem of divisors in arithmetic progressions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 30:2 (1966),  433–448
31. The problem of divisors in segments of arithmetical progressions
    
    Dokl. Akad. Nauk SSSR, 164:6 (1965),  1232–1234
32. The sum over the characters of powers of the modulus of the Dirichlet $L$-function in the critical strip
    
    Dokl. Akad. Nauk SSSR, 154:1 (1964),  34–37
33. The theory of quasi-prime numbers
    
    Dokl. Akad. Nauk SSSR, 152:3 (1963),  544–547
34. Binary case of an additive problem with squares of primes
    
    Dokl. Akad. Nauk SSSR, 140:3 (1961),  529–532
35. On the theory of the distribution of sets of primes with given differences between them
    
    Dokl. Akad. Nauk SSSR, 138:6 (1961),  1287–1290
36. The number of $k$-twin primes lying on an interval of a given length
    
    Dokl. Akad. Nauk SSSR, 136:2 (1961),  281–283
37. On the theory of distribution of primes based on I. M. Vinogradov's method of trigonometric sums
    
    Trudy Mat. Inst. Steklov., 64 (1961),  90–125
38. Distribution of $k$-twins of primes
    
    Dokl. Akad. Nauk SSSR, 132:6 (1960),  1258–1260
39. On the twin prime hypothesis of the theory of primes by the method of I. M. Vinogradov
    
    Dokl. Akad. Nauk SSSR, 132:5 (1960),  1013–1015
40. On a theorem in the additive theory of numbers
    
    Uspekhi Mat. Nauk, 14:1(85) (1959),  197–198
41. Addition of a prime to a prime power of a given prime
    
    Dokl. Akad. Nauk SSSR, 119:6 (1958),  1085–1087
42. Representation of numbers as a sum composed of a prime and a power of a given integer
    
    Dokl. Akad. Nauk SSSR, 115:3 (1957),  445–446


43. Correction to: “An approximate functional equation for the zeta function and a part of the Euler product over prime numbers” [Dokl. Akad. Nauk 326 (1992), no. 1, 22–25]
    
    Dokl. Akad. Nauk, 333:3 (1993),  414
44. Nikolai Grigor'evich Chudakov (obituary)
    
    Uspekhi Mat. Nauk, 42:5(257) (1987),  189–190