Vostokov, S. V.; Pital’, P. N.; Polyakov, V. M. Higher criteria for the regularity of a one-dimensional local field. (English. Russian original) Zbl 1514.11076 Vestn. St. Petersbg. Univ., Math. 55, No. 2, 154-165 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 230-245 (2022). Reviewer: Günter Lettl (Graz) MSC: 11S31 PDFBibTeX XMLCite \textit{S. V. Vostokov} et al., Vestn. St. Petersbg. Univ., Math. 55, No. 2, 154--165 (2022; Zbl 1514.11076); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 230--245 (2022) Full Text: DOI
Madunts, A. I. Hazewinkel functional lemma and classification of formal groups. (English. Russian original) Zbl 1457.14099 Vestn. St. Petersbg. Univ., Math. 53, No. 2, 155-161 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 245-253 (2020). MSC: 14L05 11S31 PDFBibTeX XMLCite \textit{A. I. Madunts}, Vestn. St. Petersbg. Univ., Math. 53, No. 2, 155--161 (2020; Zbl 1457.14099); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 245--253 (2020) Full Text: DOI
Vostokov, S. V.; Leonova, E. O. Calculations in the generalized Lubin-Tate theory. (English. Russian original) Zbl 1471.11286 Vestn. St. Petersbg. Univ., Math. 53, No. 2, 131-135 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 210-216 (2020). Reviewer: Kevin Keating (Gainesville) MSC: 11S31 11S15 11S20 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{E. O. Leonova}, Vestn. St. Petersbg. Univ., Math. 53, No. 2, 131--135 (2020; Zbl 1471.11286); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 210--216 (2020) Full Text: DOI
Ivanova, O. Yu.; Zhukov, I. B. Comparison of classifications of two-dimensional local type II fields. (English. Russian original) Zbl 1464.11124 Vestn. St. Petersbg. Univ., Math. 53, No. 4, 412-423 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 607-621 (2020). MSC: 11S15 12J25 PDFBibTeX XMLCite \textit{O. Yu. Ivanova} and \textit{I. B. Zhukov}, Vestn. St. Petersbg. Univ., Math. 53, No. 4, 412--423 (2020; Zbl 1464.11124); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 607--621 (2020) Full Text: DOI
Demchenko, O. V.; Vostokov, S. V. Torsion points of generalized Honda formal groups. (English. Russian original) Zbl 1465.11226 Vestn. St. Petersbg. Univ., Math. 53, No. 4, 404-411 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 597-606 (2020). Reviewer: Kevin Keating (Gainesville) MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{O. V. Demchenko} and \textit{S. V. Vostokov}, Vestn. St. Petersbg. Univ., Math. 53, No. 4, 404--411 (2020; Zbl 1465.11226); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 597--606 (2020) Full Text: DOI
Vlaskina, N. K.; Vostokov, S. V.; Pital’, P. N.; Tsybyshev, A. E. Degree of irregularity and regular formal modules in local fields. (English. Russian original) Zbl 1462.11110 Vestn. St. Petersbg. Univ., Math. 53, No. 4, 398-403 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 588-596 (2020). Reviewer: Mouad Moutaoukil (Fès) MSC: 11S31 11S15 PDFBibTeX XMLCite \textit{N. K. Vlaskina} et al., Vestn. St. Petersbg. Univ., Math. 53, No. 4, 398--403 (2020; Zbl 1462.11110); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 588--596 (2020) Full Text: DOI
Madunts, A. I.; Vostokov, S. V.; Vostokova, R. P. Formal groups over sub-rings of the ring of integers of a multidimensional local field. (English. Russian original) Zbl 1505.11146 Vestn. St. Petersbg. Univ., Math. 52, No. 1, 59-65 (2019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 1, 88-97 (2019). MSC: 11S31 PDFBibTeX XMLCite \textit{A. I. Madunts} et al., Vestn. St. Petersbg. Univ., Math. 52, No. 1, 59--65 (2019; Zbl 1505.11146); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 1, 88--97 (2019) Full Text: DOI
Hakobyan, T. L.; Vostokov, S. V. Honda formal module in an unramified \(p\)-extension of a local field as a Galois module. (English. Russian original) Zbl 1440.11216 Vestn. St. Petersbg. Univ., Math. 51, No. 4, 317-321 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 4, 541-548 (2018). MSC: 11S20 14L05 PDFBibTeX XMLCite \textit{T. L. Hakobyan} and \textit{S. V. Vostokov}, Vestn. St. Petersbg. Univ., Math. 51, No. 4, 317--321 (2018; Zbl 1440.11216); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 4, 541--548 (2018) Full Text: DOI
Vostokov, S. V.; Haustov, N. V.; Zhukov, I. B.; Ivanova, O. Yu.; Afanas’eva, S. S. Analogue of the Hyodo inequality for the ramification depth in degree \(p^2\) extensions. (English. Russian original) Zbl 1427.11130 Vestn. St. Petersbg. Univ., Math. 51, No. 2, 114-123 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 2, 181-193 (2018). MSC: 11S15 PDFBibTeX XMLCite \textit{S. V. Vostokov} et al., Vestn. St. Petersbg. Univ., Math. 51, No. 2, 114--123 (2018; Zbl 1427.11130); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 2, 181--193 (2018) Full Text: DOI
Vostokov, S. V.; Afanas’eva, S. S.; Bondarko, M. V.; Volkov, V. V.; Demchenko, O. V.; Ikonnikova, E. V.; Zhukov, I. B.; Nekrasov, I. I.; Pital’, P. N. Explicit constructions and the arithmetic of local number fields. (English. Russian original) Zbl 1433.11130 Vestn. St. Petersbg. Univ., Math. 50, No. 3, 242-264 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 3, 402-435 (2017). MSC: 11S31 11S70 11-02 11-03 PDFBibTeX XMLCite \textit{S. V. Vostokov} et al., Vestn. St. Petersbg. Univ., Math. 50, No. 3, 242--264 (2017; Zbl 1433.11130); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 3, 402--435 (2017) Full Text: DOI
Vostokov, S. V.; Pital’, P. N. Hilbert pairing on Lorentz formal groups. (English. Russian original) Zbl 1427.11132 Vestn. St. Petersbg. Univ., Math. 50, No. 2, 117-121 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 2, 201-207 (2017). MSC: 11S31 11S70 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{P. N. Pital'}, Vestn. St. Petersbg. Univ., Math. 50, No. 2, 117--121 (2017; Zbl 1427.11132); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 2, 201--207 (2017) Full Text: DOI
Vostokova, R. P.; Pital’, P. N. The arithmetic of hyperbolic formal modules. (English. Russian original) Zbl 1402.11139 Vestn. St. Petersbg. Univ., Math. 49, No. 3, 224-230 (2016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 3, 384-392 (2016). MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{R. P. Vostokova} and \textit{P. N. Pital'}, Vestn. St. Petersbg. Univ., Math. 49, No. 3, 224--230 (2016; Zbl 1402.11139); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 3, 384--392 (2016) Full Text: DOI
Volkov, V. V. On the norm property of the Hilbert symbol for polynomial formal modules in a multidimensional local field. (English. Russian original) Zbl 1409.11108 Vestn. St. Petersbg. Univ., Math. 49, No. 4, 320-324 (2016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 552-557 (2016). MSC: 11S31 11S70 PDFBibTeX XMLCite \textit{V. V. Volkov}, Vestn. St. Petersbg. Univ., Math. 49, No. 4, 320--324 (2016; Zbl 1409.11108); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 552--557 (2016) Full Text: DOI
Vlassiev, S. M.; Vostokov, S. V.; Gorshkov, A. A. Regular formal modules in one-dimensional local fields. (English. Russian original) Zbl 1409.11105 Vestn. St. Petersbg. Univ., Math. 49, No. 4, 313-319 (2016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 544-551 (2016). MSC: 11S15 11S31 PDFBibTeX XMLCite \textit{S. M. Vlassiev} et al., Vestn. St. Petersbg. Univ., Math. 49, No. 4, 313--319 (2016; Zbl 1409.11105); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 544--551 (2016) Full Text: DOI
Vostokov, S. V.; Vostokova, R. P.; Podkopaeva, O. Yu. Degeneration of the Hilbert pairing in formal groups over local fields. (English) Zbl 1401.11152 Vestn. St. Petersbg. Univ., Math. 49, No. 1, 47-52 (2016) and Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 3(61), No. 1, 59-66 (2016). MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{S. V. Vostokov} et al., Vestn. St. Petersbg. Univ., Math. 49, No. 1, 47--52 (2016; Zbl 1401.11152) Full Text: DOI
Zhukov, I. B. Semiglobal models of extensions of two-dimensional local fields. (English. Russian original) Zbl 1343.13020 Vestn. St. Petersbg. Univ., Math. 43, No. 1, 33-38 (2010); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2010, No. 1, 39-44 (2010). MSC: 13H05 11S15 PDFBibTeX XMLCite \textit{I. B. Zhukov}, Vestn. St. Petersbg. Univ., Math. 43, No. 1, 33--38 (2010; Zbl 1343.13020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2010, No. 1, 39--44 (2010) Full Text: DOI
Vostokov, S. V.; Ferens-Sorotskiy, E. V. Hilbert pairing for the polynomial formal groups. (English. Russian original) Zbl 1331.11105 Vestn. St. Petersbg. Univ., Math. 43, No. 1, 18-22 (2010); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2010, No. 1, 23-27 (2010). MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{E. V. Ferens-Sorotskiy}, Vestn. St. Petersbg. Univ., Math. 43, No. 1, 18--22 (2010; Zbl 1331.11105); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2010, No. 1, 23--27 (2010) Full Text: DOI
Petrov, N. N. Stability of fixed points of polynomial mappings on some compact rings. (English. Russian original) Zbl 1146.37043 Vestn. St. Petersbg. Univ., Math. 40, No. 2, 118-122 (2007); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2007, No. 2, 32-38 (2007). MSC: 37N25 92C20 37A45 11S99 11T06 PDFBibTeX XMLCite \textit{N. N. Petrov}, Vestn. St. Petersbg. Univ., Math. 40, No. 2, 118--122 (2007; Zbl 1146.37043); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2007, No. 2, 32--38 (2007) Full Text: DOI
Antonov, A. V. The limiting sets of polynomial iterations in some compact rings. (English. Russian original) Zbl 1055.37512 Vestn. St. Petersbg. Univ., Math. 30, No. 1, 1-6 (1997); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1997, No. 1, 3-9 (1997). MSC: 37B99 11S85 PDFBibTeX XMLCite \textit{A. V. Antonov}, Vestn. St. Petersbg. Univ., Math. 30, No. 1, 1--6 (1997; Zbl 1055.37512); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1997, No. 1, 3--9 (1997) Full Text: DOI
Petrov, N. N.; Antonov, A. V. The limit behavior of polynomial iterations in some compact rings. (English. Russian original) Zbl 1036.37500 Vestn. St. Petersbg. Univ., Math. 29, No. 4, 28-33 (1996); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1996, No. 4, 35-41 (1996). MSC: 37B99 11S85 37C25 37F10 PDFBibTeX XMLCite \textit{N. N. Petrov} and \textit{A. V. Antonov}, Vestn. St. Petersbg. Univ., Math. 29, No. 4, 28--33 (1996; Zbl 1036.37500); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1996, No. 4, 35--41 (1996)
Fesenko, I. B. On norm subgroups of complete discrete valuation fields. (English. Russian original) Zbl 0836.11038 Vestn. St. Petersbg. Univ., Math. 26, No. 2, 47-49 (1993); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 2, 54-57 (1993). Reviewer: H.Koch (Berlin) MSC: 11S15 PDFBibTeX XMLCite \textit{I. B. Fesenko}, Vestn. St. Petersbg. Univ., Math. 26, No. 2, 47--49 (1993; Zbl 0836.11038); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 2, 54--57 (1993)
Zhukov, I. B. Normalization for \({\mathfrak p}\)-adic fields. I. (English. Russian original) Zbl 0841.11060 Vestn. St. Petersbg. Univ., Math. 26, No. 2, 22-31 (1993); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 2, 27-38 (1993). Reviewer: H.Koch (Berlin) MSC: 11S15 PDFBibTeX XMLCite \textit{I. B. Zhukov}, Vestn. St. Petersbg. Univ., Math. 26, No. 2, 22--31 (1993; Zbl 0841.11060); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 2, 27--38 (1993)
Vostokov, S. V. Decomposability of ideals in splitting \(p\)-extensions of local fields. (English. Russian original) Zbl 0841.11059 Vestn. St. Petersbg. Univ., Math. 26, No. 2, 10-21 (1993); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 2, 15-22 (1993). Reviewer: H.Koch (Berlin) MSC: 11S15 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Vestn. St. Petersbg. Univ., Math. 26, No. 2, 10--21 (1993; Zbl 0841.11059); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 2, 15--22 (1993)