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JOURNALS // Uspekhi Matematicheskikh Nauk
Uspekhi Mat. Nauk, 2013, Volume 68, Issue 1(409), Pages 201–207 (Mi rm9504)
Aleksei Nikolaevich Parshin (on his 70th birthday)
S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev, I. R. Shafarevich

References
1. A. N. Parshin, “Ob odnom obobschenii yakobieva mnogoobraziya”, Izv. AN SSSR. Ser. matem., 30:1 (1966), 175–182  mathnet  mathscinet  zmath
2. I. V. Dolgachev, A. N. Parshin, “The different and discriminant of regular mappings”, Math. Notes, 4:5 (1968), 802–804  mathnet  crossref  mathscinet  zmath
3. A. N. Parshin, “Algebraic curves over function fields. I”, Math. USSR-Izv., 2:5 (1968), 1145–1170  mathnet  crossref  mathscinet  zmath
4. A. N. Paršin, “Algebraic curves over function fields”, Soviet Math. Dokl., 9 (1968), 1419–1422  mathnet  mathscinet  zmath
5. A. N. Parshin, “Isogenies and torsion of elliptic curves”, Math. USSR-Izv., 4:2 (1970), 415–430  mathnet  crossref  mathscinet  zmath
6. A. N. Parshin, “Arithmetic on algebraic varieties”, J. Soviet Math., 1:5 (1973), 594–620  mathnet  crossref  mathscinet  zmath
7. A. N. Paršin, “Quelques conjectures de finitude en géométrie diophantienne”, Actes du Congrès International des Mathématiciens (Nice, 1970), v. 1, Gauthier-Villars, Paris, 1971, 467–471  mathscinet  zmath
8. A. N. Paršin, “Minimal models of curves of genus 2 and homomorphisms of abelian varieties defined over a field of finite characteristic”, Math. USSR-Izv., 6:1 (1972), 65–108  mathnet  crossref  mathscinet  zmath
9. A. N. Paršin, “Modular correspondences, heights and isogenes of abelian varieties”, Proc. Steklov Inst. Math., 132 (1973), 243–270  mathnet  mathscinet  zmath
10. A. N. Paršin, “Algebraic curves over functional fields with a finite field of constants”, Math. Notes, 15:4 (1974), 330–335  mathnet  crossref  mathscinet  zmath
11. A. N. Parshin, “Polya klassov i algebraicheskaya $K$-teoriya”, UMN, 30:1(181) (1975), 253–254  mathnet  mathscinet  zmath
12. A. N. Parshin, “David Gilbert i teoriya invariantov”, Istoriko-matematicheskie issledovaniya, 20 (1975), 171–197  mathscinet  zmath
13. A. N. Parshin, “On the arithmetic of two-dimensional schemes. I. Distributions and residues”, Math. USSR-Izv., 10:4 (1976), 695–729  mathnet  crossref  mathscinet  zmath
14. A. N. Parshin, “Vychety i dvoistvennost na algebraicheskikh poverkhnostyakh”, UMN, 32:2(194) (1977), 225–226  mathnet  mathscinet  zmath
15. A. N. Paršin, “Abelian coverings of arithmetic schemes”, Soviet Math. Dokl., 19:6 (1978), 1438–1442  mathnet  mathscinet  zmath
16. A. N. Parshin, E. I. Slavutin, “Teoriya invariantov”, Matematika XIX veka: Matematicheskaya logika. Algebra. Teoriya chisel. Teoriya veroyatnostei, Nauka, M., 1978, 76–81  mathscinet  zmath
17. A. N. Parshin, “Adèles and local constants”, International Congress of Mathematicians. Short communications. Algebraic geometry (Warsaw, 1983), 1983, 12
18. A. N. Parshin, “Chern classes, adèles and $L$-functions”, J. Reine Angew. Math., 341 (1983), 174–192  crossref  mathscinet  zmath
19. G. Veil, Izbrannye trudy. Matematika i teoreticheskaya fizika, Klassiki nauki, eds. V. I. Arnold, A. N. Parshin, Nauka, M., 1984, 512 pp.  mathscinet  zmath
20. V. I. Arnold, A. N. Parshin, “Kommentarii k rabote: G. Veil. Asimptoticheskii zakon raspredeleniya chastot sobstvennykh kolebanii uprugikh tel proizvolnoi formy”, V kn.: G. Veil, Izbrannye trudy, Klassiki nauki, Nauka, M., 1984, 446–449  mathscinet  zmath
21. A. N. Parshin, “Local class field theory”, Proc. Steklov Inst. Math., 165 (1985), 157–185  mathnet  mathscinet  zmath
22. A. N. Parshin, I. R. Shafarevich, “Arithmetic of algebraic varieties (in the algebra section of Steklov Mathematics Institute of the Academy of Sciences)”, Proc. Steklov Inst. Math., 168 (1986), 75–99  mathnet  mathscinet  zmath
23. A. N. Parshin, “Letter to Pierre Deligne (3 November 1983)”, Astérisque, 127, Soc. Math. France, Paris, 1985, 3–5
24. Yu. G. Zarkhin, A. N. Parshin, “Problemy konechnosti v diofantovoi geometrii”, Prilozhenie k kn.: S. Leng, Osnovy diofantovoi geometrii, Mir, M., 1986, 369–438  mathscinet  zmath; Yu. G. Zarkhin, A. N. Parshin, “Finiteness problems in Diophantine geometry”, Amer. Math. Soc. Transl. Ser. 2, 143, Amer. Math. Soc., Providence, RI, 1989, 35–102  zmath; 2009, arXiv: 0912.4325
25. A. I. Kostrikin, A. N. Parshin (red.), Algebra i teoriya chisel (s prilozheniyami), Izbrannye doklady seminara N. Burbaki. Sb. statei 1976–1985 gg., Matematika. Novoe v zarubezhnoi nauke, 43, Mir, M., 1987, 272 pp.
26. A. N. Parshin, “The Bogomolov–Miyaoka–Yau inequality for the arithmetical surfaces and its applications”, Séminaire de théorie des nombres (Paris, 1986–87), Progr. Math., 75, Birkhäuser, Boston, MA, 1988, 299–312  mathscinet  zmath
27. A. N. Parshin, “On the application of ramified coverings in the theory of Diophantine equations”, Math. USSR-Sb., 66:1 (1990), 249–264  mathnet  crossref  mathscinet  zmath
28. A. N. Parshin, “Galois cohomology and the Brauer group of local fields”, Proc. Steklov Inst. Math., 183 (1991), 191–201  mathnet  mathscinet  zmath
29. A. N. Parshin, “Finiteness theorems and hyperbolic manifolds”, The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck, v.  III, Progr. Math., 88, Birkhäuser, Boston, MA, 1990, 163–178  mathscinet  zmath
30. A. N. Parshin, “Letter to Don Zagier”, Arithmetic algebraic geometry (Texel, 1989), Progr. Math., 89, Birkhäuser, Boston, MA, 1991, 285–292  mathscinet  zmath
31. A. N. Parshin, “Higher Bruhat–Tits buildings and vector bundles on an algebraic surface”, Algebra and number theory (Essen, 1992), de Gruyter, Berlin, 1994, 165–192  mathscinet  zmath
32. A. N. Parshin, “Vector bundles and arithmetical groups. I”, Proc. Steklov Inst. Math., 208 (1995), 212–233  mathnet  mathscinet  zmath
33. A. N. Parshin, On a generalization of the Bruhat–Tits tree, Mathematica Göttingensis, 9, Göttingen Universität, Göttingen, 1995, 21 pp.
34. D. Gilbert, Izbrannye trudy, v. I, ed. A. N. Parshin, Faktorial, M., 1998
35. D. Gilbert, Izbrannye trudy, v. II, ed. A. N. Parshin, Faktorial, M., 1998
36. A. N. Parshin, “Kommentarii k rabotam ‘O diofantovykh uravneniyakh roda nul’, ‘O diofantovykh uravneniyakh’, ‘O neprivodimosti mnogochlenov s tselochislennymi koeffitsientami’ ”, V kn.: D. Gilbert, Izbrannye trudy, v. I, Faktorial, M., 1998, 518–519; 519–520; 522–523
37. A. N. Parshin, “Kommentarii k rabotam: ‘O variatsionnom ischislenii’ (sovm. s M. I. Zelikinym); ‘Osnovy obschei teorii lineinykh integralnykh uravnenii’, gl. X: ‘Problema Rimana v teorii funktsii komplesnogo peremennogo’, gl. XIX: ‘Teoriya Minkovskogo ob’emov i ploschadei'; ‘Matematicheskie problemy’ (sovm. s S. S. Demidovym)”, V kn.: D. Gilbert, Izbrannye trudy, v. II, Faktorial, M., 1998, 526–529; 535–538; 538–540; 580–591
38. A. N. Parshin, “On a ring of formal pseudodifferential operators”, Proc. Steklov Inst. Math., 224 (1999), 266–280  mathnet  mathscinet  zmath
39. A. N. Parshin, “Higher dimensional local fields and $L$-functions”, Invitation to higher local fields (Münster, August–September, 1999), Geom. Topol. Monogr., 3, Geom. Topol. Publ., Coventry, 2000, 199–213 (electronic)  crossref  mathscinet  zmath
40. A. N. Parshin, “The Bruhat–Tits buildings over higher dimensional local fields”, Invitation to higher local fields (Münster, August–September, 1999), Geom. Topol. Monogr., 3, Geom. Topol. Publ., Coventry, 2000, 223–237 (electronic)  crossref  mathscinet  zmath
41. A. N. Parshin, “Note on the Siegel formula”, J. Math. Sci. (New York), 106:5 (2001), 3336–3339  mathnet  crossref  mathscinet  zmath
42. A. N. Parshin, “The Krichever correspondence for algebraic surfaces”, Funct. Anal. Appl., 35:1 (2001), 74–76  mathnet  crossref  crossref  mathscinet  zmath
43. A. N. Parshin, “Integrable systems and local fields”, Comm. Algebra, 29:9, Special issue dedicated to Alexei Ivanovich Kostrikin (2001), 4157–4181  crossref  mathscinet  zmath
44. Proc. Steklov Inst. Math., 2(241) (2003)  mathnet  mathscinet
45. A. N. Parshin, “Vector bundles and arithmetic groups. II”, Proc. Steklov Inst. Math., 241 (2003), 164–176  mathnet  mathscinet  zmath
46. S. O. Gorchinskii, A. N. Parshin, “Adelic Lefschetz formula for the action of a one-dimensional torus”, Proceedings of the St. Petersburg Mathematical Society, v. 2, Amer. Math. Soc. Transl. Ser. 2, 218, Amer. Math. Soc., Providence, RI, 2006, 31–48  mathscinet  zmath
47. A. N. Parshin, “Lokalnye konstruktsii v algebraicheskoi geometrii”, Trudy seminara “Globus”, 3, MTsNMO, M., 2006, 60–82  mathscinet  zmath
48. A. N. Parshin, “Numbers as functions: the development of an idea in the Moscow school of algebraic geometry”, Mathematical events of the twentieth century, Springer, Berlin, 2006, 297–329  crossref  mathscinet  zmath
49. D. V. Osipov, A. N. Parshin, “Harmonic analysis on local fields and adelic spaces. I”, Izv. Math., 72:5 (2008), 915–976  mathnet  crossref  crossref  mathscinet  zmath  adsnasa
50. A. N. Parshin, “On holomorphic representations of discrete Heisenberg groups”, Funct. Anal. Appl., 44:2 (2010), 156–159  mathnet  crossref  crossref  mathscinet  zmath
51. A. N. Parshin, “Representations of higher adelic groups and arithmetic”, Proceedings of the International Congress of Mathematicians (Hyderabad, India, 19–27 August 2010), v. 1, Plenary lectures and ceremonies, World Sci., Singapore, 2010, 362–392  mathscinet  zmath
52. A. N. Parshin, “Mathematik in Moskau – es war eine große Epoche”, Mitt. Dtsch. Math.-Ver., 18:1 (2010), 43–48  mathscinet  zmath
53. D. V. Osipov, A. N. Parshin, “Harmonic analysis and the Riemann–Roch theorem”, Dokl. Math., 84:3 (2011), 826–829  crossref  mathscinet  zmath
54. D. V. Osipov, A. N. Parshin, “Harmonic analysis on local fields and adelic spaces. II”, Izv. Math., 75:4 (2011), 749–814  mathnet  crossref  crossref  mathscinet  zmath
55. A. N. Parshin, “Notes on the Poisson formula”, St. Petersburg Math. J., 23:5 (2012), 781–818  mathnet  crossref  mathscinet
56. S. A. Arnal', A. N. Parshin, “On irreducible representations of discrete Heisenberg groups”, Math. Notes, 92:3 (2012), 295–301  mathnet  crossref  crossref  zmath
57. A. N. Parshin, “Questions and remarks to the Langlands programme”, Russian Math. Surveys, 67:3 (2012), 509–539  mathnet  crossref  crossref  zmath
58. Teoriya chisel, algebra i analiz, Sbornik statei. K 75-letiyu so dnya rozhdeniya professora Anatoliya Alekseevicha Karatsuby, Tr. MIAN, 276, eds. A. N. Parshin, A. G. Sergeev, MAIK, M., 2012, 288 pp.  mathnet  mathscinet

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