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
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 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