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Proskurin, Nikolai Vital'evich

Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person22992
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/190481

Publications in Math-Net.Ru Citations
2024
1. N. V. Proskurin, “On distribution of some exponential sums”, Zap. Nauchn. Sem. POMI, 538 (2024),  145–151  mathnet
2023
2. N. V. Proskurin, “On Gauss sums of degree $6$”, Zap. Nauchn. Sem. POMI, 523 (2023),  147–158  mathnet
2022
3. Vladimir Podolskii, Nikolay V. Proskurin, “Polynomial threshold functions for decision lists”, Leibniz Internat. Proc. in Inform., 248 (2022),  52–12  mathnet  mathscinet
4. N. V. Proskurin, “On quadric exponential sums”, Zap. Nauchn. Sem. POMI, 517 (2022),  162–175  mathnet  mathscinet
5. N. V. Proskurin, “Distribution of cubic exponential sums”, Zap. Nauchn. Sem. POMI, 511 (2022),  161–170  mathnet
2021
6. N. V. Proskurin, “On exponential sums and flowers”, Zap. Nauchn. Sem. POMI, 502 (2021),  133–138  mathnet 1
7. N. V. Proskurin, “On some cubic exponential sums”, Zap. Nauchn. Sem. POMI, 502 (2021),  122–132  mathnet 2
2020
8. N. V. Proskurin, “On character sums in finite fields”, Zap. Nauchn. Sem. POMI, 490 (2020),  104–108  mathnet
2019
9. N. V. Proskurin, “On some trigonometric sums related to the Airy function”, Zap. Nauchn. Sem. POMI, 479 (2019),  137–145  mathnet
2018
10. N. V. Proskurin, “String wave equation in finite fields context”, Zap. Nauchn. Sem. POMI, 469 (2018),  138–150  mathnet; J. Math. Sci. (N. Y.), 242:4 (2019), 560–567  scopus
11. N. V. Proskurin, “On some special functions over finite fields”, Zap. Nauchn. Sem. POMI, 468 (2018),  281–286  mathnet; J. Math. Sci. (N. Y.), 240:5 (2019), 688–691  scopus 1
2017
12. N. V. Proskurin, “On cubic exponential sums and Gauss sums”, Zap. Nauchn. Sem. POMI, 458 (2017),  159–163  mathnet; J. Math. Sci. (N. Y.), 234:5 (2018), 697–700
2016
13. N. V. Proskurin, “Zeta function of the category of finite Abelian groups”, Zap. Nauchn. Sem. POMI, 449 (2016),  230–234  mathnet  mathscinet; J. Math. Sci. (N. Y.), 225:6 (2017), 991–993  scopus
2015
14. N. V. Proskurin, “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  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:2 (2016), 177–189  isi  scopus
2013
15. N. V. Proskurin, “On the zeros of derivative of one ternary quadratic form zeta function”, Zap. Nauchn. Sem. POMI, 418 (2013),  168–171  mathnet; J. Math. Sci. (N. Y.), 200:5 (2014), 614–616  scopus
2012
16. N. V. Proskurin, “On the cubic $L$-function”, Algebra i Analiz, 24:2 (2012),  230–256  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 24:2 (2013), 353–370  isi  elib  scopus 3
17. N. V. Proskurin, “On the zeros of the zeta function of the Leech lattice”, Zap. Nauchn. Sem. POMI, 404 (2012),  214–221  mathnet  mathscinet; J. Math. Sci. (N. Y.), 193:1 (2013), 124–128  scopus 2
2011
18. N. V. Proskurin, “On the zeros of one ternary quadratic form zeta function”, Zap. Nauchn. Sem. POMI, 392 (2011),  159–162  mathnet; J. Math. Sci. (N. Y.), 184:6 (2012), 753–754  scopus 2
19. N. V. Proskurin, “Computation of $L$-functions and Chebyshev polynomials”, Zap. Nauchn. Sem. POMI, 387 (2011),  163–166  mathnet; J. Math. Sci. (N. Y.), 179:6 (2011), 726–728  scopus 1
2010
20. N. V. Proskurin, “On the distribution of the zeros of the cubic $L$-function”, Zap. Nauchn. Sem. POMI, 383 (2010),  144–147  mathnet; J. Math. Sci. (N. Y.), 178:2 (2011), 198–200  scopus 1
2009
21. N. V. Proskurin, “On problem of $L$-functions numerical computation”, Zap. Nauchn. Sem. POMI, 373 (2009),  273–279  mathnet; J. Math. Sci. (N. Y.), 168:3 (2010), 464–467  scopus 3
22. N. V. Proskurin, “Computation of the Rankin–Selberg $L$-functions of Maass wave forms”, Zap. Nauchn. Sem. POMI, 371 (2009),  137–148  mathnet  elib; J. Math. Sci. (N. Y.), 166:2 (2010), 203–209  scopus
2008
23. N. V. Proskurin, “Computation of zeros of $L$-function associated with the cubic theta-function”, Zap. Nauchn. Sem. POMI, 357 (2008),  180–194  mathnet  zmath; J. Math. Sci. (N. Y.), 157:4 (2009), 646–654 3
2007
24. N. V. Proskurin, “On the zeros of the $L$-function associated with the cubic theta function”, Zap. Nauchn. Sem. POMI, 350 (2007),  173–186  mathnet; J. Math. Sci. (N. Y.), 150:3 (2008), 2105–2114  scopus 2
2006
25. N. V. Proskurin, “On the Dirichlet series related to the cubic theta function”, Zap. Nauchn. Sem. POMI, 337 (2006),  212–232  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 143:3 (2007), 3137–3148  elib  scopus 4
2004
26. N. V. Proskurin, “On certain finite group related to cubic theta polynomials”, Zap. Nauchn. Sem. POMI, 314 (2004),  196–212  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 133:6 (2006), 1718–1727
2003
27. N. V. Proskurin, “On the general Kloosterman sums”, Zap. Nauchn. Sem. POMI, 302 (2003),  107–134  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 129:3 (2005), 3874–3889 20
28. N. V. Proskurin, “On twisted Kloosterman sums”, Zap. Nauchn. Sem. POMI, 302 (2003),  96–106  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 129:3 (2005), 3868–3873 2
2002
29. N. V. Proskurin, “The cubic simplectic theta function”, Zap. Nauchn. Sem. POMI, 286 (2002),  148–158  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 122:6 (2004), 3667–3672
1990
30. N. V. Proskurin, “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  mathnet  mathscinet  zmath; J. Soviet Math., 62:4 (1992), 2915–2927
1989
31. N. V. Proskurin, “Automorphic forms on the exceptional group $\mathrm G_2(\mathbb C)$”, Algebra i Analiz, 1:3 (1989),  196–226  mathnet  mathscinet  zmath; Leningrad Math. J., 1:3 (1990), 765–797 1
1987
32. N. V. Proskurin, “Cubic symplectic theta-functions”, Zap. Nauchn. Sem. LOMI, 162 (1987),  186–188  mathnet  zmath
33. N. V. Proskurin, “The group $G_2(\mathbb{C})$ in connection with the theory of metaplectic forms”, Zap. Nauchn. Sem. LOMI, 162 (1987),  169–185  mathnet  zmath
1983
34. N. V. Proskurin, “On the automorphic functions on $SL(m, \mathbb R)$.”, Zap. Nauchn. Sem. LOMI, 129 (1983),  164–176  mathnet  mathscinet  zmath
35. N. V. Proskurin, “Automorphic functions and Bass-Milnor-Serre's homomorphism, II”, Zap. Nauchn. Sem. LOMI, 129 (1983),  127–163  mathnet  mathscinet  zmath
36. N. V. Proskurin, “Automorphic functions and Bass–Milnor–Serre's homomorphism, I”, Zap. Nauchn. Sem. LOMI, 129 (1983),  85–126  mathnet  mathscinet  zmath
37. N. V. Proskurin, “Expansion of automorphic functions on $SL_3(\mathbb C)/SU(3)$”, Zap. Nauchn. Sem. LOMI, 125 (1983),  144–153  mathnet  mathscinet  zmath
1982
38. A. B. Venkov, N. V. Proskurin, “Automorphic functions and Kummer's problem”, Uspekhi Mat. Nauk, 37:3(225) (1982),  143–165  mathnet  mathscinet  zmath; Russian Math. Surveys, 37:3 (1982), 165–190
39. N. V. Proskurin, “Expansion of automorphic functions”, Zap. Nauchn. Sem. LOMI, 116 (1982),  119–141  mathnet  mathscinet  zmath; J. Soviet Math., 26:3 (1984), 1908–1921 1
1980
40. N. V. Proskurin, “Convolutions of the Dirichlet series with the Fourier coefficients of cusp forms of weight 0”, Zap. Nauchn. Sem. LOMI, 93 (1980),  204–217  mathnet  mathscinet  zmath; J. Soviet Math., 19:2 (1982), 1194–1202 1
1979
41. N. V. Proskurin, “On the Y. V. Linnik hypothesis”, Zap. Nauchn. Sem. LOMI, 91 (1979),  94–118  mathnet  mathscinet  zmath; J. Soviet Math., 17:5 (1981), 2147–2162 1
42. N. V. Proskurin, “Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight 0”, Zap. Nauchn. Sem. LOMI, 82 (1979),  136–143  mathnet  mathscinet  zmath; J. Soviet Math., 18:6 (1982), 951–957 3
43. N. V. Proskurin, “Summation formulas for general Kloosterman sums”, Zap. Nauchn. Sem. LOMI, 82 (1979),  103–135  mathnet  mathscinet  zmath; J. Soviet Math., 18:6 (1982), 925–950 6
1975
44. N. V. Proskurin, “A theorem on distribution of quadratic residues applicable in the Linnik's ergodic method”, Zap. Nauchn. Sem. LOMI, 50 (1975),  169–178  mathnet  mathscinet  zmath

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