Oshita, Kazuki; Tsuzuki, Masao Functional equations and gamma factors of local zeta functions for the metaplectic cover of \(\mathrm{SL}_2\). (English) Zbl 07813860 J. Number Theory 259, 57-81 (2024). MSC: 11F70 22E50 11M41 11F66 11S37 PDFBibTeX XMLCite \textit{K. Oshita} and \textit{M. Tsuzuki}, J. Number Theory 259, 57--81 (2024; Zbl 07813860) Full Text: DOI arXiv
Sugiyama, Shingo; Tsuzuki, Masao Quantitative non-vanishing of central values of certain \(L\)-functions on \(\mathrm{GL}(2) \times \mathrm{GL}(3)\). (English) Zbl 1502.11056 Math. Z. 301, No. 2, 1447-1479 (2022). Reviewer: Zhengyu Mao (Newark) MSC: 11F67 11F72 PDFBibTeX XMLCite \textit{S. Sugiyama} and \textit{M. Tsuzuki}, Math. Z. 301, No. 2, 1447--1479 (2022; Zbl 1502.11056) Full Text: DOI arXiv
Kim, Henry H.; Tsuzuki, Masao; Wakatsuki, Satoshi The Shintani double zeta functions. (English) Zbl 1506.11080 Forum Math. 34, No. 2, 469-505 (2022). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F68 11M06 11S90 PDFBibTeX XMLCite \textit{H. H. Kim} et al., Forum Math. 34, No. 2, 469--505 (2022; Zbl 1506.11080) Full Text: DOI arXiv
Tsuzuki, Masao Hecke-Maass cusp forms on \(\operatorname{PGL}_n\) of large levels with non-vanishing \(L\)-values. (English) Zbl 1477.11096 J. Funct. Anal. 281, No. 10, Article ID 109215, 100 p. (2021). MSC: 11F67 11F72 PDFBibTeX XMLCite \textit{M. Tsuzuki}, J. Funct. Anal. 281, No. 10, Article ID 109215, 100 p. (2021; Zbl 1477.11096) Full Text: DOI arXiv
Sugiyama, Shingo; Tsuzuki, Masao Optimal estimates for an average of Hurwitz class numbers. (English) Zbl 1445.11024 Ramanujan J. 52, No. 1, 91-104 (2020). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E41 11E16 11F72 PDFBibTeX XMLCite \textit{S. Sugiyama} and \textit{M. Tsuzuki}, Ramanujan J. 52, No. 1, 91--104 (2020; Zbl 1445.11024) Full Text: DOI arXiv
Tsuzuki, Masao Weighted equidistribution theorem for Siegel modular forms of degree 2. arXiv:2001.02859 Preprint, arXiv:2001.02859 [math.NT] (2020). BibTeX Cite \textit{M. Tsuzuki}, ``Weighted equidistribution theorem for Siegel modular forms of degree 2'', Preprint, arXiv:2001.02859 [math.NT] (2020) Full Text: arXiv OA License
Sugiyama, Shingo; Tsuzuki, Masao An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms. (English) Zbl 1440.11087 J. Funct. Anal. 275, No. 11, 2978-3064 (2018). MSC: 11F72 11F41 11F67 PDFBibTeX XMLCite \textit{S. Sugiyama} and \textit{M. Tsuzuki}, J. Funct. Anal. 275, No. 11, 2978--3064 (2018; Zbl 1440.11087) Full Text: DOI arXiv
Tsuzuki, Masao Relative trace formulas for unitary hyperbolic spaces. (English) Zbl 1446.11100 Kyoto J. Math. 58, No. 2, 427-491 (2018). MSC: 11F72 11F67 PDFBibTeX XMLCite \textit{M. Tsuzuki}, Kyoto J. Math. 58, No. 2, 427--491 (2018; Zbl 1446.11100) Full Text: DOI arXiv Euclid
Tsuzuki, Masao Orbital integrals on unitary hyperbolic spaces over \(\mathfrak p\)-adic fields. (English) Zbl 1404.22023 Tokyo J. Math. 39, No. 3, 923-975 (2017). MSC: 22E35 11F70 22E50 PDFBibTeX XMLCite \textit{M. Tsuzuki}, Tokyo J. Math. 39, No. 3, 923--975 (2017; Zbl 1404.22023) Full Text: DOI Euclid
Sugiyama, Shingo; Tsuzuki, Masao Relative trace formulas and subconvexity estimates for \(L\)-functions of Hilbert modular forms. (English) Zbl 1393.11043 Acta Arith. 176, No. 1, 1-63 (2016). Reviewer: Valentin Blomer (Göttingen) MSC: 11F67 11F72 PDFBibTeX XMLCite \textit{S. Sugiyama} and \textit{M. Tsuzuki}, Acta Arith. 176, No. 1, 1--63 (2016; Zbl 1393.11043) Full Text: DOI
Sugiyama, Shingo; Tsuzuki, Masao Existence of Hilbert cusp forms with non-vanishing \(L\)-values. (English) Zbl 1404.11057 Can. J. Math. 68, No. 4, 908-960 (2016). MSC: 11F41 11F67 11F72 PDFBibTeX XMLCite \textit{S. Sugiyama} and \textit{M. Tsuzuki}, Can. J. Math. 68, No. 4, 908--960 (2016; Zbl 1404.11057) Full Text: DOI arXiv
Tsuzuki, Masao Spectral means of central values of automorphic \(L\)-functions for \(\mathrm{GL}(2)\). (English) Zbl 1337.11034 Mem. Am. Math. Soc. 1110, vii, 129 p. (2015). Reviewer: Joshua Friedman (Plainview) MSC: 11F72 11F67 11F66 PDFBibTeX XMLCite \textit{M. Tsuzuki}, Spectral means of central values of automorphic \(L\)-functions for \(\mathrm{GL}(2)\). Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1337.11034) Full Text: DOI
Tsuzuki, Masao Spectral average of central values of automorphic \(L\)-functions for holomorphic cusp forms on \(\mathrm{SO}_0(m,2)\). I. (English) Zbl 1282.11052 J. Number Theory 132, No. 11, 2407-2454 (2012). Reviewer: Zhengyu Mao (Newark) MSC: 11F70 11F67 11F55 PDFBibTeX XMLCite \textit{M. Tsuzuki}, J. Number Theory 132, No. 11, 2407--2454 (2012; Zbl 1282.11052) Full Text: DOI arXiv
Tsuzuki, Masao Limit formulas of period integrals for a certain symmetric pair. II. (English) Zbl 1248.11039 J. Math. Soc. Japan 63, No. 3, 1039-1084 (2011). Reviewer: Oliver Stein (Bonn) MSC: 11F72 11F67 PDFBibTeX XMLCite \textit{M. Tsuzuki}, J. Math. Soc. Japan 63, No. 3, 1039--1084 (2011; Zbl 1248.11039) Full Text: DOI
Tsuzuki, Masao Spectral square means for period integrals of wave functions on real hyperbolic spaces. (English) Zbl 1241.11059 J. Number Theory 129, No. 10, 2387-2438 (2009). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F67 11F72 43A85 58J35 PDFBibTeX XMLCite \textit{M. Tsuzuki}, J. Number Theory 129, No. 10, 2387--2438 (2009; Zbl 1241.11059) Full Text: DOI
Oda, Takayuki; Tsuzuki, Masao The secondary spherical functions and automorphic Green currents for certain symmetric pairs. (English) Zbl 1257.11049 Pure Appl. Math. Q. 5, No. 3, 977-1028 (2009). MSC: 11F55 22E46 32M15 32C30 32M10 PDFBibTeX XMLCite \textit{T. Oda} and \textit{M. Tsuzuki}, Pure Appl. Math. Q. 5, No. 3, 977--1028 (2009; Zbl 1257.11049) Full Text: DOI
Tsuzuki, Masao Certain Rankin-Selberg integral for unitary groups. (English) Zbl 1235.11047 Tohoku Math. J. (2) 61, No. 1, 115-164 (2009). MSC: 11F55 11F67 PDFBibTeX XMLCite \textit{M. Tsuzuki}, Tôhoku Math. J. (2) 61, No. 1, 115--164 (2009; Zbl 1235.11047) Full Text: DOI
Tsuzuki, Masao Limit formulas of period integrals for a certain symmetric pair. (English) Zbl 1158.43009 J. Funct. Anal. 255, No. 5, 1139-1190 (2008). Reviewer: Roman Urban (Wrocław) MSC: 11F67 11F72 43A85 22E30 PDFBibTeX XMLCite \textit{M. Tsuzuki}, J. Funct. Anal. 255, No. 5, 1139--1190 (2008; Zbl 1158.43009) Full Text: DOI
Oda, Takayuki; Tsuzuki, Masao The secondary spherical functions and Green current associated with certain symmetric pairs. (English) Zbl 1247.32022 RIMS Kôkyûroku Bessatsu B7, 121-135 (2008). MSC: 32M10 11F75 22E40 PDFBibTeX XMLCite \textit{T. Oda} and \textit{M. Tsuzuki}, RIMS Kôkyûroku Bessatsu B7, 121--135 (2008; Zbl 1247.32022)
Tsuzuki, Masao Green currents for modular cycles in arithmetic quotients of complex hyperballs. (English) Zbl 1128.14016 Pac. J. Math. 227, No. 2, 311-359 (2006). Reviewer: Min Ho Lee (Cedar Falls) MSC: 14G40 11F55 22E46 32N15 PDFBibTeX XMLCite \textit{M. Tsuzuki}, Pac. J. Math. 227, No. 2, 311--359 (2006; Zbl 1128.14016) Full Text: DOI
Tsuzuki, Masao Certain Poincaré series and period-integrals of Eisenstein series on \(\mathbb R\)-rank one classical groups. (English) Zbl 1064.11041 Comment. Math. Univ. St. Pauli 53, No. 1, 37-75 (2004). Reviewer: Anton Deitmar (Tübingen) MSC: 11F55 11F67 PDFBibTeX XMLCite \textit{M. Tsuzuki}, Comment. Math. Univ. St. Pauli 53, No. 1, 37--75 (2004; Zbl 1064.11041)
Oda, Takayuki; Tsuzuki, Masao Automorphic Green functions associated with the secondary spherical functions. (English) Zbl 1044.11033 Publ. Res. Inst. Math. Sci. 39, No. 3, 451-533 (2003). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11F55 14G40 22E46 PDFBibTeX XMLCite \textit{T. Oda} and \textit{M. Tsuzuki}, Publ. Res. Inst. Math. Sci. 39, No. 3, 451--533 (2003; Zbl 1044.11033) Full Text: DOI
Gon, Yasuro; Tsuzuki, Masao The resolvent trace formula for rank one Lie groups. (English) Zbl 1026.22010 Asian J. Math. 6, No. 2, 227-252 (2002). Reviewer: Eugene Kryachko (Liège) MSC: 22E30 11M36 33C05 43A85 PDFBibTeX XMLCite \textit{Y. Gon} and \textit{M. Tsuzuki}, Asian J. Math. 6, No. 2, 227--252 (2002; Zbl 1026.22010) Full Text: DOI
Tsuzuki, Masao Real Shintani functions on \(U(n,1)\). III: Construction of intertwining operators. (English) Zbl 1037.11035 J. Math. Sci., Tokyo 9, No. 1, 165-215 (2002). MSC: 11F70 22E46 33C05 11F67 PDFBibTeX XMLCite \textit{M. Tsuzuki}, J. Math. Sci., Tokyo 9, No. 1, 165--215 (2002; Zbl 1037.11035)
Tsuzuki, Masao Real Shintani functions on \(U(n,1)\). II: Computation of zeta integrals. (English) Zbl 1018.11026 J. Math. Sci., Tokyo 8, No. 4, 689-719 (2001). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F70 22E46 33C05 11F67 PDFBibTeX XMLCite \textit{M. Tsuzuki}, J. Math. Sci., Tokyo 8, No. 4, 689--719 (2001; Zbl 1018.11026)
Tsuzuki, Massao Real Shintani functions on \(U(n,1)\). (English) Zbl 1018.11025 J. Math. Sci., Tokyo 8, No. 4, 609-688 (2001). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F70 22E46 33C05 11F67 PDFBibTeX XMLCite \textit{M. Tsuzuki}, J. Math. Sci., Tokyo 8, No. 4, 609--688 (2001; Zbl 1018.11025)
Oda, Takayuki; Tsuzuki, Masao Using secondary spherical functions to construct Green functions that are related to modular factors of arithmetic manifolds. (Japanese) Zbl 0969.11518 RIMS Kokyuroku 1173, 1-12 (2000). MSC: 11F72 PDFBibTeX XMLCite \textit{T. Oda} and \textit{M. Tsuzuki}, RIMS Kokyuroku 1173, 1--12 (2000; Zbl 0969.11518)
Tsuzuki, Masao (ed.) Automorphic forms on \(\text{Sp}(2;\mathbf R)\) and \(\text{SU}(2,2)\). II. Proceedings of the 2nd symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, September 21–25, 1998. (English) Zbl 0954.22001 RIMS Kokyuroku 1094, ii, 117 p. (1999). MSC: 22-06 00B25 PDFBibTeX XMLCite \textit{M. Tsuzuki} (ed.), RIMS Kokyuroku 1094, ii, 117 p. (1999; Zbl 0954.22001)
Tsuzuki, Masao Real Shintani functions and multiplicity free property for the symmetric pair \((SU(2,1),S(U(1,1)\times U(1)))\). (English) Zbl 0946.11011 J. Math. Sci., Tokyo 4, No. 3, 663-727 (1997). MSC: 11F70 22E46 11F67 33C05 PDFBibTeX XMLCite \textit{M. Tsuzuki}, J. Math. Sci., Tokyo 4, No. 3, 663--727 (1997; Zbl 0946.11011)
Tsuzuki, Masao Elliptic factors of Selberg zeta functions. (English) Zbl 0877.11033 Duke Math. J. 88, No. 1, 29-75 (1997). Reviewer: A.Deitmar (Heidelberg) MSC: 11F72 37C25 11M36 PDFBibTeX XMLCite \textit{M. Tsuzuki}, Duke Math. J. 88, No. 1, 29--75 (1997; Zbl 0877.11033) Full Text: DOI
Tsuzuki, Masao Real Shintani functions on \(SU(2,1)\). (Japanese) Zbl 0942.11501 Oda, Takayuki (ed.), Automorphic forms on \(\text{Sp}(2;\mathbb{R})\) and \(\text{SU}(2,2)\). Proceedings of a symposium held at the Research Institute for Mathematical Sciciences, Kyoto University, Kyoto, Japan, January 9-13, 1995. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences, RIMS Kôkyûroku. 909, 113-123 (1995). MSC: 11F70 22E46 11F67 33C05 PDFBibTeX XMLCite \textit{M. Tsuzuki}, in: Automorphic forms on \(\text{Sp}(2;\mathbb R)\) and \(\text{SU}(2,2)\). Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, January 9--13, 1995. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences. 113--123 (1995; Zbl 0942.11501)
Tsuzuki, Masao Elliptic factors of Selberg zeta functions. (English) Zbl 0822.11045 Proc. Japan Acad., Ser. A 69, No. 10, 417-421 (1993). Reviewer: Roland Matthes (Hofgeismar) MSC: 11F72 11M36 PDFBibTeX XMLCite \textit{M. Tsuzuki}, Proc. Japan Acad., Ser. A 69, No. 10, 417--421 (1993; Zbl 0822.11045) Full Text: DOI