Alexei Borisovich Venkov (, ) é um matemático russo, especialista em teoria espectral de formas automórficas.
Venkov obteve a graduação na Universidade Estatal de Leningrado em 1969, onde obteve em 1973 o grau de Candidato de Ciências (doutorado), orientado por Ludvig Faddeev. Foi depois acadêmico do Instituto de Matemática Steklov em São Petersburgo, onde obteve em 1980 o Doktor nauk (habilitação) com a tese Spectral theory of automorphic functions (em russo).
Foi palestrante convidado do Congresso Internacional de Matemáticos em Varsóvia (1983).
Publicações selecionadas Artigos com V. L. Kalinin and Ludvig Faddeev: A nonarithmetic derivation of the Selberg trace formula, Journal of Soviet Mathematics, vol. 8, 1977, pp. 171–199 Spectral theory of automorphic functions, the Selberg zeta-function, and some problems of analytic number theory and mathematical physics, Russian Mathematical Surveys, vol. 34, 1979, pp. 79–153 Remainder term in the Weyl-Selberg asymptotic formula, Journal of Mathematical Sciences 17, no. 5, 1981, pp. 2083–2097 com N. V. Proskurin: Automorphic forms and Kummer´s problem, Russian Mathematical Surveys, vol. 37, 1982, pp. 165–190 Selberg´s trace formula for an automorphic Schroedinger Operator, Functional Analysis and Applications, vol. 25, 1991, pp. 102–111 On a multidimensional variant of the Roelcke-Selberg conjecture, Saint Petersburg Mathematical Journal, vol. 4, 1993, pp. 527–538 com A. M. Nikitin: The Selberg trace formula, Ramanujan graphs and some problems in mathematical physics, Saint Petersburg Mathematical Journal, vol. 5, 1994, pp. 419–484. Approximation of Maass forms by analytic modular forms, Saint Petersburg Mathematical Journal, vol. 6, 1995, pp. 1167–1177 The Zagier formula with the Eisenstein-Maass series at odd integer points, and the generalized Selberg zeta function, Saint Petersburg Mathematical Journal, vol. 6, 1995, pp. 519–527. com E. Balslev: Selberg's eigenvalue conjecture and the Siegel zeros for Hecke L-series, in: Analysis on Homogeneous Spaces and Representation Theory of Lie Groups, Okayama-Kyoto 1997, Advanced Studies in Pure Mathematics 26, Mathematical Society of Japan 2000, pp. 19–32 com Erik Balslev: Spectral theory of Laplacians for Hecke groups with primitive character, Acta Mathematica, vol. 186, 2001, pp. 155–217, ; Correction vol. 192, 2004, pp. 1–3 com E. Balslev: On the relative distribution of eigenvalues of exceptional Hecke operators and automorphic Laplacians, Original publication: Algebra i Analiz, tom 17 (2005), nomer 1. Journal: St. Petersburg Math. J. 17 (2006), 1-37 com A. Momeni: Mayer's transfer operator approach to Selberg's zeta function, Original publication: Algebra i Analiz, tom 24 (2012), nomer 4. Journal: St. Petersburg Math. J. 24 (2013), 529–553 com D. Mayer and A. Momeni: Congruence properties of induced representations and their applications, Original publication: Algebra i Analiz, tom 26 (2014), nomer 4. Journal: St. Petersburg Math. J. 26 (2015), 593–606
Livros Spectral theory of automorphic functions, American Mathematical Society 1983 Spectral theory of automorphic functions and its applications, Kluwer 1990;
Ligações externas Alexei Venkov, Centre for Quantum Geometry for Moduli Spaces, Aarhus University Venkov Aleksei Borisovich, mathnet.ru
Categoria:Professores da Universidade de Aarhus Categoria:Matemáticos da União Soviética Categoria:Matemáticos da Rússia Categoria:Alunos da Universidade Estatal de São Petersburgo Categoria:Pessoas vivas