Andrianov, Anatoli On interaction of Hecke-Shimura rings: symplectic versus orthogonal. (English) Zbl 1320.11035 Acta Arith. 155, No. 1, 97-107 (2012). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11F27 11F46 11F60 PDFBibTeX XMLCite \textit{A. Andrianov}, Acta Arith. 155, No. 1, 97--107 (2012; Zbl 1320.11035) Full Text: DOI
Andrianov, A. Twisting of Siegel modular forms with characters, and \(L\)-functions. (English. Russian original) Zbl 1206.11060 St. Petersbg. Math. J. 20, No. 6, 851-871 (2009); translation from Algebra Anal. 20, No. 6, 1-29 (2008). MSC: 11F46 11F60 11F66 PDFBibTeX XMLCite \textit{A. Andrianov}, St. Petersbg. Math. J. 20, No. 6, 851--871 (2009; Zbl 1206.11060); translation from Algebra Anal. 20, No. 6, 1--29 (2008) Full Text: DOI
Andrianov, Anatoli Interaction sums and action of Hecke operators on theta-series. (English) Zbl 1187.11013 Acta Arith. 140, No. 3, 271-304 (2009). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11F27 11F46 11F60 14G10 20C08 PDFBibTeX XMLCite \textit{A. Andrianov}, Acta Arith. 140, No. 3, 271--304 (2009; Zbl 1187.11013) Full Text: DOI
Andrianov, Anatoli Introduction to Siegel modular forms and Dirichlet series. (English) Zbl 1213.11105 Universitext. New York, NY: Springer (ISBN 978-0-387-78752-7/pbk; 978-0-387-78753-4/ebook). xii, 182 p. (2009). Reviewer: Aloys Krieg (Aachen) MSC: 11F46 11F66 11-01 PDFBibTeX XMLCite \textit{A. Andrianov}, Introduction to Siegel modular forms and Dirichlet series. New York, NY: Springer (2009; Zbl 1213.11105) Full Text: DOI
Andrianov, A. N. Action of Hecke operators on Maass theta series and zeta functions. (English. Russian original) Zbl 1206.11054 St. Petersbg. Math. J. 19, No. 5, 675-698 (2008); translation from Algebra Anal. 19, No. 5, 3-36 (2007). MSC: 11F27 11F46 11F60 11F66 PDFBibTeX XMLCite \textit{A. N. Andrianov}, St. Petersbg. Math. J. 19, No. 5, 675--698 (2008; Zbl 1206.11054); translation from Algebra Anal. 19, No. 5, 3--36 (2007) Full Text: DOI
Andrianov, A. On zeta functions of orthogonal groups of single-class positive definite quadratic forms. (English. Russian original) Zbl 1099.11024 St. Petersbg. Math. J. 17, No. 4, 553-579 (2006); translation from Algebra Anal. 17, No. 4, 3-41 (2005). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11F27 11E45 11F46 11F60 11M41 PDFBibTeX XMLCite \textit{A. Andrianov}, St. Petersbg. Math. J. 17, No. 4, 553--579 (2006; Zbl 1099.11024); translation from Algebra Anal. 17, No. 4, 3--41 (2005) Full Text: DOI
Andrianov, Anatoli; Andrianov, Fedor On invariant subspaces and eigenfunctions of regular Hecke operators on spaces of multiple theta constants. (English) Zbl 1138.11323 J. Number Theory 113, No. 2, 308-338 (2005). MSC: 11F27 11F46 11F60 11F66 PDFBibTeX XMLCite \textit{A. Andrianov} and \textit{F. Andrianov}, J. Number Theory 113, No. 2, 308--338 (2005; Zbl 1138.11323) Full Text: DOI
Andrianov, A. N. Action of Hecke operators on theta-functions with rational characteristics. (English. Russian original) Zbl 1062.11024 St. Petersbg. Math. J. 15, No. 5, 715-732 (2004); translation from Algebra Anal. 15, No. 5, 109-137 (2003). Reviewer: G. K. Sankaran (Bath) MSC: 11F60 11F27 11F46 PDFBibTeX XMLCite \textit{A. N. Andrianov}, St. Petersbg. Math. J. 15, No. 5, 715--732 (2004; Zbl 1062.11024); translation from Algebra Anal. 15, No. 5, 109--137 (2003) Full Text: DOI
Andrianov, Anatoli N.; Andrianov, Fedor A. Action of Hecke operators on products of Igusa theta constants with rational characteristics. (English) Zbl 1122.11031 Acta Arith. 114, No. 2, 113-133 (2004). MSC: 11F60 11F66 11F27 11F46 PDFBibTeX XMLCite \textit{A. N. Andrianov} and \textit{F. A. Andrianov}, Acta Arith. 114, No. 2, 113--133 (2004; Zbl 1122.11031) Full Text: DOI Link
Andrianov, Anotoli Maass theta-series and zeta functions. (English) Zbl 1060.11026 Heath-Brown, D. R. (ed.) et al., Proceedings of the session in analytic number theory and Diophantine equations held in Bonn, Germany, January–June, 2002. Bonn: Univ. Bonn, Mathematisches Institut. Bonner Mathematische Schriften 360, 25 p. (2003). Reviewer: Günter Köhler (Würzburg) MSC: 11F27 11F46 11F60 11F66 PDFBibTeX XMLCite \textit{A. Andrianov}, Bonn. Math. Schr. 360, 25 p. (2003; Zbl 1060.11026)
Andrianov, Anatoli Theta-transforms and even zeta functions of Siegel modular forms. (English) Zbl 1013.11018 Acta Arith. 101, No. 3, 231-245 (2002). Reviewer: A.Krieg (Aachen) MSC: 11F46 11F60 11F66 PDFBibTeX XMLCite \textit{A. Andrianov}, Acta Arith. 101, No. 3, 231--245 (2002; Zbl 1013.11018) Full Text: DOI
Andrianov, A. On functional equations satisfied by spinor Euler products for Siegel modular forms of genus 2 with characters. (English) Zbl 0998.11024 Abh. Math. Semin. Univ. Hamb. 71, 123-142 (2001). Reviewer: Shoyu Nagaoka (Osaka) MSC: 11F66 11F60 11F46 PDFBibTeX XMLCite \textit{A. Andrianov}, Abh. Math. Semin. Univ. Hamb. 71, 123--142 (2001; Zbl 0998.11024) Full Text: DOI
Andrianov, A. N. On the Ikeda lift. (English. Russian original) Zbl 1012.11036 Funct. Anal. Appl. 35, No. 2, 138-141 (2001); translation from Funkts. Anal. Prilozh. 35, No. 2, 70-74 (2001). Reviewer: Aloys Krieg (Aachen) MSC: 11F46 11F32 11F66 11F67 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Funct. Anal. Appl. 35, No. 2, 138--141 (2001; Zbl 1012.11036); translation from Funkts. Anal. Prilozh. 35, No. 2, 70--74 (2001) Full Text: DOI
Andrianov, A. N.; Panchishkin, A. A. Singular Frobenius operators on Siegel modular forms with characters, and zeta functions. (English. Russian original) Zbl 1191.11015 St. Petersbg. Math. J. 12, No. 2, 233-257 (2001); translation from Algebra Anal. 12, No. 2, 64-99 (2000). Reviewer: Florin Nicolae (Berlin) MSC: 11F46 11F60 11F66 PDFBibTeX XMLCite \textit{A. N. Andrianov} and \textit{A. A. Panchishkin}, St. Petersbg. Math. J. 12, No. 2, 233--257 (2000; Zbl 1191.11015); translation from Algebra Anal. 12, No. 2, 64--99 (2000)
Andrianov, A. N. On an advice of Yu. V. Linnik, Hecke operators, and theta functions. (Russian) Zbl 0889.11015 Kuz’mina, G. V. (ed.) et al., Analytical number theory and function theory. 13. Work collection. Dedicated to the 80th birthday of Yu. V. Linnik. Sankt-Peterburg: Nauka. Zap. Nauchn. Semin. POMI. 226, 5-13 (1996). Reviewer: M.Peters (Münster) MSC: 11F60 11F27 11F25 11F46 PDFBibTeX XMLCite \textit{A. N. Andrianov}, in: Аналитическая теория чисел и теория функций. 13. Сборник работ. Посвящаеця 80-летию со дня рождения Ю. В. Линника. Sankt-Peterburg: Nauka. 5--13 (1996; Zbl 0889.11015)
Andrianov, A. N. On an advice of Yu. V. Linnik, Hecke operators, and theta functions. (English. Russian original) Zbl 0898.11016 J. Math. Sci., New York 89, No. 1, 909-914 (1998); translation from Zap. Nauchn. Semin. POMI 226, 5-13 (1996). MSC: 11F60 11F27 11F25 11F46 PDFBibTeX XMLCite \textit{A. N. Andrianov}, J. Math. Sci., New York 89, No. 1, 909--914 (1996; Zbl 0898.11016); translation from Zap. Nauchn. Semin. POMI 226, 5--13 (1996) Full Text: DOI
Andrianov, A. N. Symmetries of harmonic theta-functions of integral quadratic forms. (English. Russian original) Zbl 0857.11020 Russ. Math. Surv. 50, No. 4, 661-700 (1995); translation from Usp. Mat. Nauk 50, No. 4, 3-44 (1995). Reviewer: M.Peters (Münster) MSC: 11F27 11F46 11E45 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Russ. Math. Surv. 50, No. 4, 661--700 (1995; Zbl 0857.11020); translation from Usp. Mat. Nauk 50, No. 4, 3--44 (1995) Full Text: DOI
Andrianov, A. N. Queen’s lectures on arithmetical composition of quadratic forms. (English) Zbl 0820.11025 Queen’s Papers in Pure and Applied Mathematics. 92. Kingston: Queen’s Univ.. 62 p. (1992). Reviewer: M.Peters (Münster) MSC: 11E45 11-02 11E12 11F60 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Queen's lectures on arithmetical composition of quadratic forms. Kingston: Queen's Univ. (1992; Zbl 0820.11025)
Andrianov, A. N. On Dirichlet series corresponding to representations of zero by indefinite quadratic forms. (English. Russian original) Zbl 0717.11025 Leningr. Math. J. 1, No. 3, 635-646 (1990); translation from Algebra Anal. 1, No. 3, 71-82 (1989). Reviewer: M.Peters MSC: 11F66 11E45 11E12 11F27 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Leningr. Math. J. 1, No. 3, 635--646 (1990; Zbl 0717.11025); translation from Algebra Anal. 1, No. 3, 71--82 (1989)
Andrianov, A. N.; Zhuravlev, V. G. Modular forms and Hecke operators. (Modulyarnye formy i operatory Gekke.) (Russian. English summary) Zbl 0694.10028 Moskva: Nauka. 448 p. R. 5.50 (1990). Reviewer: S.Böcherer MSC: 11F27 11-02 11E45 PDFBibTeX XMLCite \textit{A. N. Andrianov} and \textit{V. G. Zhuravlev}, Modulyarnye formy i operatory Gekke (Russian). Moskva: Nauka (1990; Zbl 0694.10028)
Andrianov, Anatolij N. Quadratic forms and Hecke operators. (English) Zbl 0613.10023 Grundlehren der Mathematischen Wissenschaften, 286. Berlin etc.: Springer-Verlag. XII, 374 p.; DM 184.00 (1987). Reviewer: M.Peters MSC: 11F27 11-01 11E45 11-02 PDFBibTeX XML
Andrianov, A. N. Representations of an even zeta function on theta series. (English) Zbl 0609.10017 J. Sov. Math. 36, 1-7 (1987). MSC: 11F27 11E45 11F67 PDFBibTeX XMLCite \textit{A. N. Andrianov}, J. Sov. Math. 36, 1--7 (1987; Zbl 0609.10017) Full Text: DOI
Andrianov, A. N. Duality in Siegel’s theorem on representations by a genus of quadratic forms, and the averaging operator. (English) Zbl 0549.10014 Math. USSR, Sb. 50, 1-10 (1985); translation from Mat. Sb., Nov. Ser. 122 (164), No. 1(9), 3-11 (1983). MSC: 11E45 11F25 11D85 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Math. USSR, Sb. 50, 1--10 (1985; Zbl 0549.10014); translation from Mat. Sb., Nov. Ser. 122 (164), No. 1(9), 3--11 (1983) Full Text: DOI EuDML
Andrianov, A. N. Representations of an even zeta function on theta series. (Russian. English summary) Zbl 0532.10017 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 134, 5-14 (1984). Reviewer: M.Peters MSC: 11F27 11E45 11F67 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 134, 5--14 (1984; Zbl 0532.10017) Full Text: EuDML
Andrianov, A. N. Duality in Siegel’s theorem on representations by the genus of quadratic forms and the averaging operator. (English) Zbl 0527.10017 Mat. Sb., N. Ser. 122(164), No. 1(9), 3-11 (1983). Reviewer: Meinhard Peters (Münster) MSC: 11E45 11F25 11D85 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Mat. Sb., Nov. Ser. 122(164), No. 1(9), 3--11 (1983; Zbl 0527.10017) Full Text: EuDML
Andrianov, A. N. Degenerations of rings of Hecke operators on spaces of theta series. (English) Zbl 0518.10030 Proc. Steklov Inst. Math. 157, 1-17 (1983). MSC: 11F27 11E45 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Proc. Steklov Inst. Math. 157, 1--17 (1983; Zbl 0518.10030)
Andrianov, A. N. Degenerations of rings of Hecke operators on spaces of theta series. (Russian) Zbl 0471.10020 Tr. Mat. Inst. Steklova 157, 3-18 (1981). MSC: 11F27 11E45 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Tr. Mat. Inst. Steklova 157, 3--18 (1981; Zbl 0471.10020)
Andrianov, Anatolii N. Action of Hecke operator \(T(p)\) on theta series. (English) Zbl 0407.10021 Math. Ann. 247, 245-254 (1980). MSC: 11F11 11E45 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Math. Ann. 247, 245--254 (1980; Zbl 0407.10021) Full Text: DOI EuDML
Andrianov, A. N. The multiplicative arithmetic of Siegel modular forms. (English) Zbl 0427.10017 Russ. Math. Surv. 34, No. 1, 75-148 (1979). MSC: 11F27 11F67 11E45 32N10 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Russ. Math. Surv. 34, No. 1, 75--148 (1979; Zbl 0427.10017) Full Text: DOI
Andrianov, A. N. Multiplicative arithmetic of Siegel modular forms. (Russian) Zbl 0418.10027 Usp. Mat. Nauk 34, No. 1(205), 67-135 (1979). MSC: 11F27 11F67 11E45 32N10 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Usp. Mat. Nauk 34, No. 1(205), 67--135 (1979; Zbl 0418.10027)
Andrianov, A. N. On zeta-functions of Rankin type associated with Siegel modular forms. (English) Zbl 0391.10025 Modular Funct. of one Var. VI, Proc. int. Conf., Bonn 1976, Lect. Notes Math. 627, 325-339 (1977). MSC: 11F27 11F67 11M35 PDFBibTeX XML
Andrianov, A. N. Zeta-functions and the Siegel modular forms. (English) Zbl 0313.10027 Lie Groups Represent., Proc. Summer Sch., Bolyai János Math. Soc., Budapest 1971, 9-20 (1975). Reviewer: Günter Köhler (Würzburg) MSC: 11F46 11F66 11-02 PDFBibTeX XML
Andrianov, A. N. Dirichlet series with Euler product in the theory of Siegel modular forms of genus 2. (English) Zbl 0259.10025 Proc. Steklov Inst. Math. 112(1971), 70-93 (1973). MSC: 11F27 11F03 11M35 11R42 11S40 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Proc. Steklov Inst. Math. 112, 70--93 (1973; Zbl 0259.10025)
Andrianov, A. N. Dirichlet series with Euler product in the theory of Siegel’s modular forms of genus two. (Russian) Zbl 0224.10027 Tr. Mat. Inst. Steklova 112, 73-94 (1971). MSC: 11F66 11M41 11F46 11F25 11R42 11S40 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Tr. Mat. Inst. Steklova 112, 73--94 (1971; Zbl 0224.10027)