Osipov, Denis V.; Parshin, Alekseĭ N. Harmonic analysis on the rank-2 value group of a two-dimensional local field. (English. Russian original) Zbl 1452.43005 Sb. Math. 211, No. 1, 115-160 (2020); translation from Mat. Sb. 211, No. 1, 125-174 (2020). MSC: 43A70 11S80 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Sb. Math. 211, No. 1, 115--160 (2020; Zbl 1452.43005); translation from Mat. Sb. 211, No. 1, 125--174 (2020) Full Text: DOI arXiv
Parshin, A. N. The Mellin transform and the Plancherel theorem for the discrete Heisenberg group. (English. Russian original) Zbl 1436.20009 Proc. Steklov Inst. Math. 307, 174-192 (2019); translation from Tr. Mat. Inst. Steklova 307, 193-211 (2019). MSC: 20C15 20F18 PDFBibTeX XMLCite \textit{A. N. Parshin}, Proc. Steklov Inst. Math. 307, 174--192 (2019; Zbl 1436.20009); translation from Tr. Mat. Inst. Steklova 307, 193--211 (2019) Full Text: DOI
Gorchinskiy, S. O.; Kulikov, Vik. S.; Parshin, A. N.; Popov, V. L. Igor Rostislavovich Shafarevich and his mathematical heritage. (English. Russian original) Zbl 1440.01025 Proc. Steklov Inst. Math. 307, 1-21 (2019); translation from Tr. Mat. Inst. Steklova 307, 9-31 (2019). MSC: 01A70 11-03 14-03 20-03 PDFBibTeX XMLCite \textit{S. O. Gorchinskiy} et al., Proc. Steklov Inst. Math. 307, 1--21 (2019; Zbl 1440.01025); translation from Tr. Mat. Inst. Steklova 307, 9--31 (2019) Full Text: DOI
Osipov, D. V.; Parshin, A. N. Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields. (English. Russian original) Zbl 1377.11121 Proc. Steklov Inst. Math. 292, 185-201 (2016); translation from Tr. Mat. Inst. Steklova 292, 191-208 (2016). MSC: 11S23 11S85 20H05 20C15 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Proc. Steklov Inst. Math. 292, 185--201 (2016; Zbl 1377.11121); translation from Tr. Mat. Inst. Steklova 292, 191--208 (2016) Full Text: DOI arXiv
Parshin, A. N. [Rezvyakova, Irina S.] Notes on the Poisson formula. With an appendix by Irina S. Rezvyakova. (English. Russian original) Zbl 1323.11065 St. Petersbg. Math. J. 23, No. 5, 781-818 (2012); translation from Algebra Anal. 23, No. 5, 1-54 (2011). MSC: 11M36 11M41 11R42 14G10 PDFBibTeX XMLCite \textit{A. N. Parshin}, St. Petersbg. Math. J. 23, No. 5, 781--818 (2012; Zbl 1323.11065); translation from Algebra Anal. 23, No. 5, 1--54 (2011) Full Text: DOI
Arnal’, S. A.; Parshin, A. N. On irreducible representations of discrete Heisenberg groups. (English. Russian original) Zbl 1264.43007 Math. Notes 92, No. 3, 295-301 (2012); translation from Mat. Zametki 92, No. 3, 323-330 (2012). Reviewer: E. K. Narayanan (Bangalore) MSC: 43A65 43A40 22A25 PDFBibTeX XMLCite \textit{S. A. Arnal'} and \textit{A. N. Parshin}, Math. Notes 92, No. 3, 295--301 (2012; Zbl 1264.43007); translation from Mat. Zametki 92, No. 3, 323--330 (2012) Full Text: DOI
Osipov, D. V.; Parshin, A. N. Harmonic analysis and the Riemann-Roch theorem. (English. Russian original) Zbl 1350.14015 Dokl. Math. 84, No. 3, 826-829 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 4, 444-448 (2011). Reviewer: Dmitri A. Timashev (Moskva) (MR2951489) MSC: 14C40 11R56 14G15 43A60 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Dokl. Math. 84, No. 3, 826--829 (2011; Zbl 1350.14015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 4, 444--448 (2011) Full Text: DOI arXiv
Parshin, A. N. Algebraic curves over functional fields with a finite field of constants. (English) Zbl 0299.14016 Math. Notes 15, 330-335 (1974). MSC: 14H25 14G15 14H05 PDFBibTeX XMLCite \textit{A. N. Parshin}, Math. Notes 15, 330--335 (1974; Zbl 0299.14016) Full Text: DOI
Parshin, A. N. Arithmetic on algebraic varieties. (English) Zbl 0284.14004 J. Sov. Math. 1, 594-620 (1973). MSC: 14-03 14Gxx 12Exx 14Kxx 14L05 14H25 PDFBibTeX XMLCite \textit{A. N. Parshin}, J. Sov. Math. 1, 594--620 (1973; Zbl 0284.14004) Full Text: DOI