Proskurin Nikolai Vital'evich

Publications in Math-Net.Ru

1. On multiplicative characters sums of cubic polynomials
   
   Zap. Nauchn. Sem. POMI, 547 (2025),  200–206
2. On distribution of some exponential sums
   
   Zap. Nauchn. Sem. POMI, 538 (2024),  145–151
3. On Gauss sums of degree $6$
   
   Zap. Nauchn. Sem. POMI, 523 (2023),  147–158
4. Polynomial threshold functions for decision lists
   
   Leibniz Internat. Proc. in Inform., 248 (2022),  52–12
5. On quadric exponential sums
   
   Zap. Nauchn. Sem. POMI, 517 (2022),  162–175
6. Distribution of cubic exponential sums
   
   Zap. Nauchn. Sem. POMI, 511 (2022),  161–170
7. On exponential sums and flowers
   
   Zap. Nauchn. Sem. POMI, 502 (2021),  133–138
8. On some cubic exponential sums
   
   Zap. Nauchn. Sem. POMI, 502 (2021),  122–132
9. On character sums in finite fields
   
   Zap. Nauchn. Sem. POMI, 490 (2020),  104–108
10. On some trigonometric sums related to the Airy function
    
    Zap. Nauchn. Sem. POMI, 479 (2019),  137–145
11. String wave equation in finite fields context
    
    Zap. Nauchn. Sem. POMI, 469 (2018),  138–150
12. On some special functions over finite fields
    
    Zap. Nauchn. Sem. POMI, 468 (2018),  281–286
13. On cubic exponential sums and Gauss sums
    
    Zap. Nauchn. Sem. POMI, 458 (2017),  159–163
14. Zeta function of the category of finite Abelian groups
    
    Zap. Nauchn. Sem. POMI, 449 (2016),  230–234
15. On the zeros of the zeta-function of the quadratic form $x^2+y^2+z^2$
    
    Algebra i Analiz, 27:2 (2015),  1–19
16. On the zeros of derivative of one ternary quadratic form zeta function
    
    Zap. Nauchn. Sem. POMI, 418 (2013),  168–171
17. On the cubic $L$-function
    
    Algebra i Analiz, 24:2 (2012),  230–256
18. On the zeros of the zeta function of the Leech lattice
    
    Zap. Nauchn. Sem. POMI, 404 (2012),  214–221
19. On the zeros of one ternary quadratic form zeta function
    
    Zap. Nauchn. Sem. POMI, 392 (2011),  159–162
20. Computation of $L$-functions and Chebyshev polynomials
    
    Zap. Nauchn. Sem. POMI, 387 (2011),  163–166
21. On the distribution of the zeros of the cubic $L$-function
    
    Zap. Nauchn. Sem. POMI, 383 (2010),  144–147
22. On problem of $L$-functions numerical computation
    
    Zap. Nauchn. Sem. POMI, 373 (2009),  273–279
23. Computation of the Rankin–Selberg $L$-functions of Maass wave forms
    
    Zap. Nauchn. Sem. POMI, 371 (2009),  137–148
24. Computation of zeros of $L$-function associated with the cubic theta-function
    
    Zap. Nauchn. Sem. POMI, 357 (2008),  180–194
25. On the zeros of the $L$-function associated with the cubic theta function
    
    Zap. Nauchn. Sem. POMI, 350 (2007),  173–186
26. On the Dirichlet series related to the cubic theta function
    
    Zap. Nauchn. Sem. POMI, 337 (2006),  212–232
27. On certain finite group related to cubic theta polynomials
    
    Zap. Nauchn. Sem. POMI, 314 (2004),  196–212
28. On the general Kloosterman sums
    
    Zap. Nauchn. Sem. POMI, 302 (2003),  107–134
29. On twisted Kloosterman sums
    
    Zap. Nauchn. Sem. POMI, 302 (2003),  96–106
30. The cubic simplectic theta function
    
    Zap. Nauchn. Sem. POMI, 286 (2002),  148–158
31. On some discrete subgroups of the exceptional group $G_2(\mathbb{C})$, in connection with Eisenstein series
    
    Zap. Nauchn. Sem. LOMI, 183 (1990),  124–141
32. Automorphic forms on the exceptional group $\mathrm G_2(\mathbb C)$
    
    Algebra i Analiz, 1:3 (1989),  196–226
33. Cubic symplectic theta-functions
    
    Zap. Nauchn. Sem. LOMI, 162 (1987),  186–188
34. The group $G_2(\mathbb{C})$ in connection with the theory of metaplectic forms
    
    Zap. Nauchn. Sem. LOMI, 162 (1987),  169–185
35. On the automorphic functions on $SL(m, \mathbb R)$.
    
    Zap. Nauchn. Sem. LOMI, 129 (1983),  164–176
36. Automorphic functions and Bass-Milnor-Serre's homomorphism, II
    
    Zap. Nauchn. Sem. LOMI, 129 (1983),  127–163
37. Automorphic functions and Bass–Milnor–Serre's homomorphism, I
    
    Zap. Nauchn. Sem. LOMI, 129 (1983),  85–126
38. Expansion of automorphic functions on $SL_3(\mathbb C)/SU(3)$
    
    Zap. Nauchn. Sem. LOMI, 125 (1983),  144–153
39. Automorphic functions and Kummer's problem
    
    Uspekhi Mat. Nauk, 37:3(225) (1982),  143–165
40. Expansion of automorphic functions
    
    Zap. Nauchn. Sem. LOMI, 116 (1982),  119–141
41. Convolutions of the Dirichlet series with the Fourier coefficients of cusp forms of weight 0
    
    Zap. Nauchn. Sem. LOMI, 93 (1980),  204–217
42. On the Y. V. Linnik hypothesis
    
    Zap. Nauchn. Sem. LOMI, 91 (1979),  94–118
43. Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight 0
    
    Zap. Nauchn. Sem. LOMI, 82 (1979),  136–143
44. Summation formulas for general Kloosterman sums
    
    Zap. Nauchn. Sem. LOMI, 82 (1979),  103–135
45. A theorem on distribution of quadratic residues applicable in the Linnik's ergodic method
    
    Zap. Nauchn. Sem. LOMI, 50 (1975),  169–178