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. Vector bundles and arithmetic groups. II. (English. Russian original) Zbl 1077.14055 Proc. Steklov Inst. Math. 241, 164-176 (2003); translation from Tr. Mat. Inst. Im. V. A. Steklova 241, 179-191 (2003). Reviewer: Usha N. Bhosle (Mumbai) MSC: 14J60 14G20 20E42 20G25 PDFBibTeX XMLCite \textit{A. N. Parshin}, in: Number theory, algebra, and algebraic geometry. Collected papers dedicated to the 80th birthday of Academician Igor' Rostislavovich Shafarevich. Transl. from the Russian. Moskva: Maik Nauka/Interperiodika. 164--176 (2003; Zbl 1077.14055); translation from Tr. Mat. Inst. Im. V. A. Steklova 241, 179--191 (2003)
Parshin, A. N. Note on the Siegel formula. (English. Russian original) Zbl 0999.20040 J. Math. Sci., New York 106, No. 5, 3336-3339 (2001); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 70, VINITI, Moscow 159-164 (2001). Reviewer: Samuel James Patterson (Göttingen) MSC: 20G35 22E40 PDFBibTeX XMLCite \textit{A. N. Parshin}, J. Math. Sci., New York 106, No. 5, 3336--3339 (2001; Zbl 0999.20040); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 70, VINITI, Moscow 159--164 (2001) Full Text: DOI
Parshin, A. N. The Bruhat-Tits buildings over higher dimensional local fields. (English) Zbl 1008.20018 Fesenko, Ivan (ed.) et al., Invitation to higher local fields. Extended version of talks given at the conference on higher local fields, Münster, Germany, August 29-September 5, 1999. Coventry: Geometry and Topology Publications, Geom. Topol. Monogr. 3, 223-237 (2000). MSC: 20E42 20G25 14J70 14F05 PDFBibTeX XMLCite \textit{A. N. Parshin}, Geom. Topol. Monogr. 3, 223--237 (2000; Zbl 1008.20018) Full Text: EMIS
Parshin, A. N. Invitation to higher local fields, Part II, section 3: The Bruhat-Tits buildings over higher dimensional local fields. arXiv:math/0012153 Preprint, arXiv:math/0012153 [math.NT] (2000). MSC: 20G35 20G99 BibTeX Cite \textit{A. N. Parshin}, ``Invitation to higher local fields, Part II, section 3: The Bruhat-Tits buildings over higher dimensional local fields'', Preprint, arXiv:math/0012153 [math.NT] (2000) Full Text: arXiv
Parshin, A. N. Vector bundles and arithmetical groups. I. (English. Russian original) Zbl 0880.20022 Proc. Steklov Inst. Math. 208, 212-233 (1995); translation from Tr. Mat. Inst. Steklova 208, 240-265 (1995). Reviewer: U.N.Bhosle (Bombay) MSC: 20E42 20G25 51E24 14F05 20E08 PDFBibTeX XMLCite \textit{A. N. Parshin}, in: Number theory, algebra and algebraic geometry. Collected papers. In honor of the seventieth birthday of Academician Igor Rostislavovich Shafarevich. Moscow: Maik Nauka/Interperiodica Publishing. 212--233 (1995; Zbl 0880.20022); translation from Tr. Mat. Inst. Steklova 208, 240--265 (1995)
Parshin, A. N. Higher Bruhat-Tits buildings and vector bundles on an algebraic surface. (English) Zbl 0832.14032 Frey, Gerhard (ed.) et al., Algebra and number theory. Proceedings of a conference held at the Institute of Experimental Mathematics, University of Essen, Germany, December 2-4, 1992. Berlin: de Gruyter. 165-192 (1994). Reviewer: U.N.Bhosle (Bombay) MSC: 14J70 14F05 20E42 PDFBibTeX XMLCite \textit{A. N. Parshin}, in: Algebra and number theory. Proceedings of a conference held at the Institute of Experimental Mathematics, University of Essen, Germany, December 2-4, 1992. Berlin: de Gruyter. 165--192 (1994; Zbl 0832.14032)
Gamkrelidze, R. V. (ed.); Parshin, A. N. (ed.); Shafarevich, I. R. (ed.) Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. (English) Zbl 0777.00034 Encyclopaedia of Mathematical Sciences. 58. Berlin: Springer-Verlag. 240 p. (1993). MSC: 00B15 20-06 PDFBibTeX XMLCite \textit{R. V. Gamkrelidze} (ed.) et al., Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. Berlin: Springer-Verlag (1993; Zbl 0777.00034)