Patterson, Samuel James Analytic number theory and statistics. (English) Zbl 1216.11088 Comput. Methods Funct. Theory 8, No. 2, 579-595 (2008). MSC: 11N37 11M45 11L03 PDFBibTeX XMLCite \textit{S. J. Patterson}, Comput. Methods Funct. Theory 8, No. 2, 579--595 (2008; Zbl 1216.11088) Full Text: DOI
Patterson, S. J. On the distribution of some arithmetical functions. (English) Zbl 1161.11370 Schwarz, Wolfgang (ed.) et al., Elementare und analytische Zahlentheorie. Tagungsband. Stuttgart: Franz Steiner Verlag (ISBN 3-515-08757-5/hbk). Schriften der Wissenschaftlichen Gesellschaft an der Johann-Wolfgang-Goethe-Universität Frankfurt am Main 20, 205-219 (2006). MSC: 11L05 11N64 PDFBibTeX XMLCite \textit{S. J. Patterson}, in: Elementare und analytische Zahlentheorie. Tagungsband. Stuttgart: Franz Steiner Verlag. 205--219 (2006; Zbl 1161.11370)
Patterson, S. J. The asymptotic distribution of exponential sums. II. (English) Zbl 1148.11043 Exp. Math. 14, No. 1, 87-98 (2005). MSC: 11L07 11Y35 11N37 PDFBibTeX XMLCite \textit{S. J. Patterson}, Exp. Math. 14, No. 1, 87--98 (2005; Zbl 1148.11043) Full Text: DOI Euclid EuDML
Patterson, S. J. The asymptotic distribution of exponential sums. I. (English) Zbl 1061.11046 Exp. Math. 12, No. 2, 135-153 (2003). Reviewer: Roger Heath-Brown (Oxford) MSC: 11L05 11N37 11Y35 PDFBibTeX XMLCite \textit{S. J. Patterson}, Exp. Math. 12, No. 2, 135--153 (2003; Zbl 1061.11046) Full Text: DOI Euclid EuDML
Patterson, S. J. On the distribution of certain Hua sums. II. (English) Zbl 1161.11371 Asian J. Math. 6, No. 4, 719-730 (2002). MSC: 11L07 PDFBibTeX XMLCite \textit{S. J. Patterson}, Asian J. Math. 6, No. 4, 719--730 (2002; Zbl 1161.11371) Full Text: DOI
Livné, R.; Patterson, S. J. The first moment of cubic exponential sums. (English) Zbl 1039.11051 Invent. Math. 148, No. 1, 79-116 (2002). Reviewer: Roger Heath-Brown (Oxford) MSC: 11L05 PDFBibTeX XMLCite \textit{R. Livné} and \textit{S. J. Patterson}, Invent. Math. 148, No. 1, 79--116 (2002; Zbl 1039.11051) Full Text: DOI
Patterson, S. J. On the distribution of certain Hua sums. (English) Zbl 1107.11309 Asian J. Math. 4, No. 4, 977-986 (2000). Reviewer: Roger Heath-Brown (Oxford) MSC: 11L07 PDFBibTeX XMLCite \textit{S. J. Patterson}, Asian J. Math. 4, No. 4, 977--986 (2000; Zbl 1107.11309) Full Text: DOI
Patterson, S. J. A heuristic principle and applications to Gauss sums. (English) Zbl 0669.10060 J. Indian Math. Soc., New Ser. 52, 1-22 (1987). Reviewer: A.R.Rajwade MSC: 11L03 11P55 PDFBibTeX XMLCite \textit{S. J. Patterson}, J. Indian Math. Soc., New Ser. 52, 1--22 (1987; Zbl 0669.10060)
Patterson, S. J. Metaplectic forms and Gauss sums. I. (English) Zbl 0632.10030 Compos. Math. 62, 343-366 (1987). Reviewer: J.H.Loxton MSC: 11F67 22E55 11L03 11F70 PDFBibTeX XMLCite \textit{S. J. Patterson}, Compos. Math. 62, 343--366 (1987; Zbl 0632.10030) Full Text: Numdam EuDML
Patterson, S. J. The distribution of general Gauss sums and similar arithmetic functions at prime arguments. (English) Zbl 0612.10030 Proc. Lond. Math. Soc., III. Ser. 54, 193-215 (1987). Reviewer: D.R.Heath-Brown MSC: 11L03 11S80 PDFBibTeX XMLCite \textit{S. J. Patterson}, Proc. Lond. Math. Soc. (3) 54, 193--215 (1987; Zbl 0612.10030) Full Text: DOI
Patterson, S. J. Tori in metaplectic covers of \(GL_ 2\) and applications to a formula of Loxton-Matthews. (English) Zbl 0618.10028 Math. Proc. Camb. Philos. Soc. 100, 249-263 (1986). Reviewer: J.H.Loxton MSC: 11F70 11F67 11L03 PDFBibTeX XMLCite \textit{S. J. Patterson}, Math. Proc. Camb. Philos. Soc. 100, 249--263 (1986; Zbl 0618.10028) Full Text: DOI
Patterson, S. J. Metaplectic forms and Gauss sums. II: The global theory. (English) Zbl 0602.10020 Math. Gottingensis, Schriftenr. Sonderforschungsbereichs Geom. Anal. 49, 30 S. (1986). Reviewer: J.H.Loxton MSC: 11F67 11F27 11L03 22E55 PDFBibTeX XML
Patterson, S. J. The distribution of general Gauss sums and similar arithmetic functions at prime arguments. (English) Zbl 0579.10015 Math. Gottingensis, Schriftenr. Sonderforschungsbereichs Geom. Anal. 26, 48 S. (1985). Reviewer: J.H.Loxton MSC: 11L03 11M35 11N35 11F27 PDFBibTeX XML
Patterson, S. J. The constant term of the cubic theta series. (English) Zbl 0484.10018 J. Reine Angew. Math. 336, 185-190 (1982). MSC: 11F03 11L03 11G15 PDFBibTeX XMLCite \textit{S. J. Patterson}, J. Reine Angew. Math. 336, 185--190 (1982; Zbl 0484.10018) Full Text: DOI Crelle EuDML
Patterson, S. J. The distribution of general Gauss sums at prime arguments. (English) Zbl 0463.10027 Recent progress in analytic number theory, Symp. Durham 1979, Vol. 2, 171-182 (1981). MSC: 11L03 11N69 11R18 11M35 PDFBibTeX XML
Heath-Brown, D. R.; Patterson, S. J. The distribution of Kummer sums at prime arguments. (English) Zbl 0412.10028 J. Reine Angew. Math. 310, 111-130 (1979). MSC: 11L03 11R18 11N35 PDFBibTeX XMLCite \textit{D. R. Heath-Brown} and \textit{S. J. Patterson}, J. Reine Angew. Math. 310, 111--130 (1979; Zbl 0412.10028) Full Text: Crelle EuDML
Patterson, S. J. On the distribution of Kummer sums. (English) Zbl 0384.10017 J. Reine Angew. Math. 303/304, 126-143 (1978). MSC: 11L03 11F67 PDFBibTeX XMLCite \textit{S. J. Patterson}, J. Reine Angew. Math. 303/304, 126--143 (1978; Zbl 0384.10017) Full Text: DOI Crelle EuDML
Patterson, S. J. On Dirichlet series associated with cubic Gauss sums. (English) Zbl 0384.10016 J. Reine Angew. Math. 303/304, 102-125 (1978). MSC: 11L03 11M35 11F67 PDFBibTeX XMLCite \textit{S. J. Patterson}, J. Reine Angew. Math. 303/304, 102--125 (1978; Zbl 0384.10016) Full Text: DOI Crelle EuDML
Patterson, S. J. A cubic analogue of the theta series. II. (English) Zbl 0358.10012 J. Reine Angew. Math. 296, 217-220 (1977). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F03 11R18 11L03 14K25 PDFBibTeX XMLCite \textit{S. J. Patterson}, J. Reine Angew. Math. 296, 217--220 (1977; Zbl 0358.10012) Full Text: DOI Crelle EuDML
Patterson, S. J. A cubic analogue of the theta series. (English) Zbl 0358.10011 J. Reine Angew. Math. 296, 125-161 (1977). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F03 11R18 11L03 14K25 PDFBibTeX XMLCite \textit{S. J. Patterson}, J. Reine Angew. Math. 296, 125--161 (1977; Zbl 0358.10011) Full Text: DOI Crelle EuDML