Roy, Manami; Schmidt, Ralf; Yi, Shaoyun Dimension formulas for Siegel modular forms of level 4. (English) Zbl 07738292 Mathematika 69, No. 3, 795-840 (2023). MSC: 11F46 11F70 PDFBibTeX XMLCite \textit{M. Roy} et al., Mathematika 69, No. 3, 795--840 (2023; Zbl 07738292) Full Text: DOI arXiv
Pitale, Ameya; Saha, Abhishek; Schmidt, Ralf Simple supercuspidal representations of \(\mathrm{GSp}_4\) and test vectors. arXiv:2302.05148 Preprint, arXiv:2302.05148 [math.NT] (2023). MSC: 11F70 11F85 11F46 BibTeX Cite \textit{A. Pitale} et al., ``Simple supercuspidal representations of $\mathrm{GSp}_4$ and test vectors'', Preprint, arXiv:2302.05148 [math.NT] (2023) Full Text: arXiv OA License
Horinaga, Shuji; Pitale, Ameya; Saha, Abhishek; Schmidt, Ralf The special values of the standard \(L\)-functions for \(\operatorname{GSp}_{2n} \times \operatorname{GL}_1\). (English) Zbl 07599875 Trans. Am. Math. Soc. 375, No. 10, 6947-6982 (2022). MSC: 11F46 11F67 11F70 PDFBibTeX XMLCite \textit{S. Horinaga} et al., Trans. Am. Math. Soc. 375, No. 10, 6947--6982 (2022; Zbl 07599875) Full Text: DOI arXiv
Pitale, Ameya; Saha, Abhishek; Schmidt, Ralf Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series. (English) Zbl 1489.11073 Publ. Mat., Barc. 66, No. 1, 405-434 (2022). MSC: 11F46 11F37 11F70 PDFBibTeX XMLCite \textit{A. Pitale} et al., Publ. Mat., Barc. 66, No. 1, 405--434 (2022; Zbl 1489.11073) Full Text: DOI arXiv
Roy, Manami; Schmidt, Ralf; Yi, Shaoyun On counting cuspidal automorphic representations for \(\mathrm{GSp(4)}\). (English) Zbl 1484.11123 Forum Math. 33, No. 3, 821-843 (2021). MSC: 11F46 11F70 PDFBibTeX XMLCite \textit{M. Roy} et al., Forum Math. 33, No. 3, 821--843 (2021; Zbl 1484.11123) Full Text: DOI arXiv
Pitale, Ameya; Saha, Abhishek; Schmidt, Ralf On the standard \(L\)-function for \(\mathrm{GSp}_{2n}\times\mathrm{GL}_1\) and algebraicity of symmetric fourth \(L\)-values for \(\mathrm{GL}_2\). (English) Zbl 07341608 Ann. Math. Qué. 45, No. 1, 113-159 (2021). Reviewer: Yuanqing Cai (Kanazawa) MSC: 11F67 11F46 11F70 PDFBibTeX XMLCite \textit{A. Pitale} et al., Ann. Math. Qué. 45, No. 1, 113--159 (2021; Zbl 07341608) Full Text: DOI arXiv
Roy, Manami; Schmidt, Ralf; Yi, Shaoyun Classical and adelic Eisenstein series. arXiv:2109.07649 Preprint, arXiv:2109.07649 [math.NT] (2021). MSC: 11F11 11F37 11F41 11F70 BibTeX Cite \textit{M. Roy} et al., ``Classical and adelic Eisenstein series'', Preprint, arXiv:2109.07649 [math.NT] (2021) Full Text: arXiv OA License
Schmidt, Ralf Paramodular forms in CAP representations of \(\mathrm{GSp}(4)\). (English) Zbl 1452.11056 Acta Arith. 194, No. 4, 319-340 (2020). MSC: 11F46 11F70 PDFBibTeX XMLCite \textit{R. Schmidt}, Acta Arith. 194, No. 4, 319--340 (2020; Zbl 1452.11056) Full Text: DOI
Dickson, Martin; Pitale, Ameya; Saha, Abhishek; Schmidt, Ralf Explicit refinements of Böcherer’s conjecture for Siegel modular forms of squarefree level. (English) Zbl 1476.11079 J. Math. Soc. Japan 72, No. 1, 251-301 (2020). Reviewer: Martin Raum (Gothenburg) MSC: 11F46 11F30 11F67 11F70 PDFBibTeX XMLCite \textit{M. Dickson} et al., J. Math. Soc. Japan 72, No. 1, 251--301 (2020; Zbl 1476.11079) Full Text: DOI arXiv Euclid
Poor, Cris; Schmidt, Ralf; Yuen, David S. Paramodular forms of level 16 and supercuspidal representations. (English) Zbl 1447.11061 Mosc. J. Comb. Number Theory 8, No. 4, 289-324 (2019). MSC: 11F46 11F70 PDFBibTeX XMLCite \textit{C. Poor} et al., Mosc. J. Comb. Number Theory 8, No. 4, 289--324 (2019; Zbl 1447.11061) Full Text: DOI
Farmer, David W.; Pitale, Ameya; Ryan, Nathan C.; Schmidt, Ralf Analytic \(L\)-functions: definitions, theorems, and connections. (English) Zbl 1453.11107 Bull. Am. Math. Soc., New Ser. 56, No. 2, 261-280 (2019). MSC: 11M06 11M41 11F66 11F03 11F70 PDFBibTeX XMLCite \textit{D. W. Farmer} et al., Bull. Am. Math. Soc., New Ser. 56, No. 2, 261--280 (2019; Zbl 1453.11107) Full Text: DOI arXiv
Schmidt, Ralf; Tran, Long Zeta integrals for \(\operatorname{GSp}(4)\) via Bessel models. (English) Zbl 1412.11076 Pac. J. Math. 296, No. 2, 437-480 (2018). Reviewer: Marcela Hanzer (Zagreb) MSC: 11F70 22E50 PDFBibTeX XMLCite \textit{R. Schmidt} and \textit{L. Tran}, Pac. J. Math. 296, No. 2, 437--480 (2018; Zbl 1412.11076) Full Text: DOI
Schmidt, Ralf Packet structure and paramodular forms. (English) Zbl 1440.11075 Trans. Am. Math. Soc. 370, No. 5, 3085-3112 (2018). MSC: 11F46 11F70 PDFBibTeX XMLCite \textit{R. Schmidt}, Trans. Am. Math. Soc. 370, No. 5, 3085--3112 (2018; Zbl 1440.11075) Full Text: DOI Link
Poor, Cris; Schmidt, Ralf; Yuen, David S. Paramodular forms of level \(8\) and weights \(10\) and \(12\). (English) Zbl 1420.11084 Int. J. Number Theory 14, No. 2, 417-467 (2018). MSC: 11F46 11F70 11F50 PDFBibTeX XMLCite \textit{C. Poor} et al., Int. J. Number Theory 14, No. 2, 417--467 (2018; Zbl 1420.11084) Full Text: DOI
Schmidt, Ralf; Turki, Salam Triply imprimitive representations of \(\mathrm{GL}(2)\). (English) Zbl 1420.11088 Proc. Am. Math. Soc. 146, No. 3, 971-981 (2018). MSC: 11F70 22E50 PDFBibTeX XMLCite \textit{R. Schmidt} and \textit{S. Turki}, Proc. Am. Math. Soc. 146, No. 3, 971--981 (2018; Zbl 1420.11088) Full Text: DOI
Schmidt, Ralf Archimedean aspects of Siegel modular forms of degree 2. (English) Zbl 1430.11062 Rocky Mt. J. Math. 47, No. 7, 2381-2422 (2017). MSC: 11F46 11F70 PDFBibTeX XMLCite \textit{R. Schmidt}, Rocky Mt. J. Math. 47, No. 7, 2381--2422 (2017; Zbl 1430.11062) Full Text: DOI Euclid
Pitale, Ameya; Saha, Abhishek; Schmidt, Ralf Local and global Maass relations. (English) Zbl 1380.11065 Math. Z. 287, No. 1-2, 655-677 (2017). Reviewer: Yuval Z. Flicker (Ariel) MSC: 11F70 22E50 11F55 11F37 PDFBibTeX XMLCite \textit{A. Pitale} et al., Math. Z. 287, No. 1--2, 655--677 (2017; Zbl 1380.11065) Full Text: DOI arXiv
Roberts, Brooks; Schmidt, Ralf Some results on Bessel functionals for GSp(4). (English) Zbl 1417.11088 Doc. Math. 21, 467-553 (2016). MSC: 11F70 11F55 22E50 PDFBibTeX XMLCite \textit{B. Roberts} and \textit{R. Schmidt}, Doc. Math. 21, 467--553 (2016; Zbl 1417.11088) Full Text: arXiv EMIS
Pitale, Ameya; Saha, Abhishek; Schmidt, Ralf Transfer of Siegel cusp forms of degree 2. (English) Zbl 1303.11063 Mem. Am. Math. Soc. 1090, v, 107 p. (2014). Reviewer: Wen-Wei Li (Beijing) MSC: 11F70 11F46 11F67 PDFBibTeX XMLCite \textit{A. Pitale} et al., Transfer of Siegel cusp forms of degree 2. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1303.11063) Full Text: DOI arXiv
Pitale, Ameya; Schmidt, Ralf Bessel models for \(\mathrm{GSp}(4)\): Siegel vectors of square-free level. (English) Zbl 1334.11038 J. Number Theory 136, 134-164 (2014). MSC: 11F46 11F70 PDFBibTeX XMLCite \textit{A. Pitale} and \textit{R. Schmidt}, J. Number Theory 136, 134--164 (2014; Zbl 1334.11038) Full Text: DOI arXiv
Saha, Abhishek; Schmidt, Ralf Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular \(L\)-functions. (English) Zbl 1341.11022 J. Lond. Math. Soc., II. Ser. 88, No. 1, 251-270 (2013). Reviewer: Yuval Z. Flicker (Ariel) MSC: 11F66 11F30 11F70 11F46 PDFBibTeX XMLCite \textit{A. Saha} and \textit{R. Schmidt}, J. Lond. Math. Soc., II. Ser. 88, No. 1, 251--270 (2013; Zbl 1341.11022) Full Text: DOI arXiv
Narita, Hiro-aki; Pitale, Ameya; Schmidt, Ralf Irreducibility criteria for local and global representations. (English) Zbl 1294.11074 Proc. Am. Math. Soc. 141, No. 1, 55-63 (2013). Reviewer: Marcela Hanzer (Zagreb) MSC: 11F70 22E50 11F46 PDFBibTeX XMLCite \textit{H.-a. Narita} et al., Proc. Am. Math. Soc. 141, No. 1, 55--63 (2013; Zbl 1294.11074) Full Text: DOI arXiv
Berndt, Rolf; Schmidt, Ralf Elements of the representation theory of the Jacobi group. Reprint of the 1998 original. (English) Zbl 1235.11046 Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-3-0348-0282-6/pbk; 978-3-0348-0283-3/ebook). xiii, 213 p. (2012). Reviewer: J. G. M. Mars (Utrecht) MSC: 11F50 11F70 11-02 01A75 PDFBibTeX XMLCite \textit{R. Berndt} and \textit{R. Schmidt}, Elements of the representation theory of the Jacobi group. Reprint of the 1998 original. Basel: Birkhäuser (2012; Zbl 1235.11046) Full Text: DOI
Roberts, Brooks; Schmidt, Ralf On the number of local newforms in a metaplectic representation. (English) Zbl 1276.11068 Cogdell, James (ed.) et al., Arithmetic geometry and automorphic forms. Festschrift dedicated to Stephen Kudla on the occasion of his 60th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-229-9/pbk). Advanced Lectures in Mathematics (ALM) 19, 505-530 (2011). MSC: 11F37 11F70 PDFBibTeX XMLCite \textit{B. Roberts} and \textit{R. Schmidt}, Adv. Lect. Math. (ALM) 19, 505--530 (2011; Zbl 1276.11068)
Pitale, Ameya; Schmidt, Ralf Ramanujan-type results for Siegel cusp forms of degree 2. (English) Zbl 1258.11058 J. Ramanujan Math. Soc. 24, No. 1, 87-111 (2009). MSC: 11F46 11F60 11F70 PDFBibTeX XMLCite \textit{A. Pitale} and \textit{R. Schmidt}, J. Ramanujan Math. Soc. 24, No. 1, 87--111 (2009; Zbl 1258.11058)
Pitale, Ameya; Schmidt, Ralf Integral representation for \(L\)-functions for \(\text{GSp}_4\times \text{GL}_2\). (English) Zbl 1258.11059 J. Number Theory 129, No. 6, 1272-1324 (2009). MSC: 11F66 11F67 11F70 PDFBibTeX XMLCite \textit{A. Pitale} and \textit{R. Schmidt}, J. Number Theory 129, No. 6, 1272--1324 (2009; Zbl 1258.11059) Full Text: DOI arXiv
Pitale, Ameya; Schmidt, Ralf Bessel models for lowest weight representations of \(\text{GSp}(4,\mathbb R)\). (English) Zbl 1244.11055 Int. Math. Res. Not. 2009, No. 7, 1159-1212 (2009). MSC: 11F70 11F46 11F67 22E46 PDFBibTeX XMLCite \textit{A. Pitale} and \textit{R. Schmidt}, Int. Math. Res. Not. 2009, No. 7, 1159--1212 (2009; Zbl 1244.11055) Full Text: DOI arXiv
Asgari, Mahdi; Schmidt, Ralf On the adjoint \(L\)-function of the \(p\)-adic \(\text{GSp}(4)\). (English) Zbl 1213.11110 J. Number Theory 128, No. 8, 2340-2358 (2008). MSC: 11F70 11F66 11F67 PDFBibTeX XMLCite \textit{M. Asgari} and \textit{R. Schmidt}, J. Number Theory 128, No. 8, 2340--2358 (2008; Zbl 1213.11110) Full Text: DOI arXiv
Pitale, Ameya; Schmidt, Ralf L-functions for GSp(4)xGL(2)in the case of high GL(2) conductor. arXiv:0808.1438 Preprint, arXiv:0808.1438 [math.NT] (2008). MSC: 11F70 11F46 11F67 BibTeX Cite \textit{A. Pitale} and \textit{R. Schmidt}, ``L-functions for GSp(4)xGL(2)in the case of high GL(2) conductor'', Preprint, arXiv:0808.1438 [math.NT] (2008) Full Text: arXiv OA License
Pitale, Ameya; Schmidt, Ralf Integral Representaion for L-functions for GSp(4)xGL(2). arXiv:0807.3522 Preprint, arXiv:0807.3522 [math.NT] (2008). MSC: 11F70 11F46 11F67 BibTeX Cite \textit{A. Pitale} and \textit{R. Schmidt}, ``Integral Representaion for L-functions for GSp(4)xGL(2)'', Preprint, arXiv:0807.3522 [math.NT] (2008) Full Text: arXiv OA License
Roberts, Brooks; Schmidt, Ralf Local newforms for \(\text{GSp}(4)\). (English) Zbl 1126.11027 Lecture Notes in Mathematics 1918. Berlin: Springer (ISBN 978-3-540-73323-2/pbk). viii, 307 p. (2007). Reviewer: J. G. M. Mars (Utrecht) MSC: 11F70 22E50 11-02 22-02 PDFBibTeX XMLCite \textit{B. Roberts} and \textit{R. Schmidt}, Local newforms for \(\text{GSp}(4)\). Berlin: Springer (2007; Zbl 1126.11027) Full Text: DOI
Schmidt, Ralf On classical Saito-Kurokawa liftings. (English) Zbl 1118.11027 J. Reine Angew. Math. 604, 211-236 (2007). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F70 11F32 11F25 11F46 PDFBibTeX XMLCite \textit{R. Schmidt}, J. Reine Angew. Math. 604, 211--236 (2007; Zbl 1118.11027) Full Text: DOI
Schmidt, Ralf Iwahori-spherical representations of \(\mathrm{GSp}(4)\) and Siegel modular forms of degree 2 with square-free level. (English) Zbl 1166.11325 J. Math. Soc. Japan 57, No. 1, 259-293 (2005). MSC: 11F46 11F70 11F85 PDFBibTeX XMLCite \textit{R. Schmidt}, J. Math. Soc. Japan 57, No. 1, 259--293 (2005; Zbl 1166.11325) Full Text: DOI
Schmidt, Ralf The Saito-Kurokawa lifting and functoriality. (English) Zbl 1068.11029 Am. J. Math. 127, No. 1, 209-240 (2005). Reviewer: Taro Horie (Shiroko) MSC: 11F32 11F46 11F70 PDFBibTeX XMLCite \textit{R. Schmidt}, Am. J. Math. 127, No. 1, 209--240 (2005; Zbl 1068.11029) Full Text: DOI
Schmidt, Ralf On the Archimedean Euler factors for spin \(L\)-functions. (English) Zbl 1020.11029 Abh. Math. Semin. Univ. Hamb. 72, 119-143 (2002). Reviewer: A.Krieg (Aachen) MSC: 11F46 11F70 PDFBibTeX XMLCite \textit{R. Schmidt}, Abh. Math. Semin. Univ. Hamb. 72, 119--143 (2002; Zbl 1020.11029) Full Text: DOI
Schmidt, Ralf Some remarks on local newforms for GL(2). (English) Zbl 0997.11040 J. Ramanujan Math. Soc. 17, No. 2, 115-147 (2002). Reviewer: Dubravka Ban (West Lafayette) MSC: 11F70 22E50 PDFBibTeX XMLCite \textit{R. Schmidt}, J. Ramanujan Math. Soc. 17, No. 2, 115--147 (2002; Zbl 0997.11040)
Asgari, Mahdi; Schmidt, Ralf Siegel modular forms and representations. (English) Zbl 0987.11037 Manuscr. Math. 104, No. 2, 173-200 (2001). Reviewer: A.Krieg (Aachen) MSC: 11F46 11F66 11F70 PDFBibTeX XMLCite \textit{M. Asgari} and \textit{R. Schmidt}, Manuscr. Math. 104, No. 2, 173--200 (2001; Zbl 0987.11037) Full Text: DOI
Schmidt, Ralf Local newforms with global applications in the Jacobi theory. (English) Zbl 0966.11024 J. Number Theory 86, No. 2, 253-283 (2001). Reviewer: A.Krieg (Aachen) MSC: 11F70 11F50 PDFBibTeX XMLCite \textit{R. Schmidt}, J. Number Theory 86, No. 2, 253--283 (2001; Zbl 0966.11024) Full Text: DOI
Schmidt, Ralf On old and new Jacobi forms. (English) Zbl 0958.11033 J. Number Theory 79, No. 1, 29-57 (1999). Reviewer: A.Krieg (Aachen) MSC: 11F50 11F70 PDFBibTeX XMLCite \textit{R. Schmidt}, J. Number Theory 79, No. 1, 29--57 (1999; Zbl 0958.11033) Full Text: DOI Link
Schmidt, R. Spherical representations of the Jacobi group. (English) Zbl 0958.11038 Abh. Math. Semin. Univ. Hamb. 68, 273-296 (1998). Reviewer: A.Krieg (Aachen) MSC: 11F70 11F50 PDFBibTeX XMLCite \textit{R. Schmidt}, Abh. Math. Semin. Univ. Hamb. 68, 273--296 (1998; Zbl 0958.11038) Full Text: DOI
Berndt, Rolf; Schmidt, Ralf Elements of the representation theory of the Jacobi group. (English) Zbl 0931.11013 Progress in Mathematics (Boston, Mass.). 163. Basel: Birkhäuser. xiii, 213 p. (1998). Reviewer: Joachim Dulinski (Köln) MSC: 11F50 11-02 22E50 22E55 11F70 11F55 PDFBibTeX XMLCite \textit{R. Berndt} and \textit{R. Schmidt}, Elements of the representation theory of the Jacobi group. Basel: Birkhäuser (1998; Zbl 0931.11013)
Schmidt, Ralf On automorphic representations of the Jacobi group. (Über automorphe Darstellungen der Jacobigruppe.) (German) Zbl 1007.11501 Hamburg: Univ. Hamburg, FB Mathematik, 127 S. (1998). MSC: 11F50 22E50 PDFBibTeX XMLCite \textit{R. Schmidt}, Über automorphe Darstellungen der Jacobigruppe. Hamburg: Univ. Hamburg, FB Mathematik (1998; Zbl 1007.11501)