Franke, Jens; Kleinjung, Thorsten; Büthe, Jan; Jost, Alexander A practical analytic method for calculating \(\pi(x)\). (English) Zbl 1431.11142 Math. Comput. 86, No. 308, 2889-2909 (2017). MSC: 11Y35 11Y70 PDFBibTeX XMLCite \textit{J. Franke} et al., Math. Comput. 86, No. 308, 2889--2909 (2017; Zbl 1431.11142) Full Text: DOI
Büthe, J.; Franke, Jens; Jost, Alexander; Kleinjung, Thorsten Some applications of the Weil-Barner explicit formula. (English) Zbl 1339.11079 Math. Nachr. 286, No. 5-6, 536-549 (2013). Reviewer: Tatyana L. Todorova (Sofia) MSC: 11M06 11N05 11Y35 PDFBibTeX XMLCite \textit{J. Büthe} et al., Math. Nachr. 286, No. 5--6, 536--549 (2013; Zbl 1339.11079) Full Text: DOI
Kleinjung, Thorsten; Aoki, Kazumaro; Franke, Jens; Lenstra, Arjen K.; Thomé, Emmanuel; Bos, Joppe W.; Gaudry, Pierrick; Kruppa, Alexander; Montgomery, Peter L.; Osvik, Dag Arne; te Riele, Herman; Timofeev, Andrey; Zimmermann, Paul Factorization of a 768-bit RSA modulus. (English) Zbl 1196.11167 Rabin, Tal (ed.), Advances in cryptology - CRYPTO 2010. 30th annual cryptology conference, Santa Barbara, CA, USA, August 15–19, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-14622-0/pbk). Lecture Notes in Computer Science 6223, 333-350 (2010). MSC: 11Y05 94A60 PDFBibTeX XMLCite \textit{T. Kleinjung} et al., Lect. Notes Comput. Sci. 6223, 333--350 (2010; Zbl 1196.11167) Full Text: DOI
Franke, Jens A topological model for some summand of the Eisenstein cohomology of congruence subgroups. (English) Zbl 1243.11066 Gan, Wee Teck (ed.) et al., Eisenstein series and applications. Collected articles related to the workshop, Palo Alto, CA, USA, August 15–19, 2005. Basel: Birkhäuser (ISBN 978-0-8176-4496-3/hbk). Progress in Mathematics 258, 27-85 (2008). Reviewer: Gerald Gotsbacher (Mumbai) MSC: 11F75 11F70 PDFBibTeX XMLCite \textit{J. Franke}, Prog. Math. 258, 27--85 (2008; Zbl 1243.11066) Full Text: DOI
Aoki, Kazumaro; Franke, Jens; Kleinjung, Thorsten; Lenstra, Arjen K.; Osvik, Dag Arne A kilobit special number field sieve factorization. (English) Zbl 1153.11344 Kurosawa, Kaoru (ed.), Advances in cryptology – ASIACRYPT 2007. 13th international conference on the theory and application of cryptology and information security, Kuching, Malaysia, December 2-6, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-76899-9/pbk). Lecture Notes in Computer Science 4833, 1-12 (2007). MSC: 11Y05 11T71 11Y16 94A60 PDFBibTeX XMLCite \textit{K. Aoki} et al., Lect. Notes Comput. Sci. 4833, 1--12 (2007; Zbl 1153.11344) Full Text: DOI
Franke, Jens; Kleinjung, Thorsten; Morain, François; Wirth, T. Proving the primality of very large numbers with fastECPP. (English) Zbl 1125.11359 Buell, Duncan (ed.), Algorithmic number theory. 6th international symposium, ANTS-VI, Burlington, VT, USA, June 13–18, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22156-5/pbk). Lecture Notes in Computer Science 3076, 194-207 (2004). MSC: 11Y11 PDFBibTeX XMLCite \textit{J. Franke} et al., Lect. Notes Comput. Sci. 3076, 194--207 (2004; Zbl 1125.11359) Full Text: DOI
Franke, Jens On the Brown representability theorem for triangulated categories. (English) Zbl 1006.18012 Topology 40, No. 4, 667-680 (2001). Reviewer: Alexander Zimmermann (Amiens) MSC: 18E30 55P65 18E15 18A30 PDFBibTeX XMLCite \textit{J. Franke}, Topology 40, No. 4, 667--680 (2001; Zbl 1006.18012) Full Text: DOI
Franke, Jens On the singularities of residual Eisenstein series. (English) Zbl 0979.11030 Invent. Math. 138, No. 2, 307-317 (1999). Reviewer: Marko Tadić (Zagreb) MSC: 11F70 PDFBibTeX XMLCite \textit{J. Franke}, Invent. Math. 138, No. 2, 307--317 (1999; Zbl 0979.11030) Full Text: DOI
Franke, Jens; Schwermer, Joachim A decomposition of spaces of automorphic forms, and the Eisenstein cohomology of arithmetic groups. (English) Zbl 0924.11042 Math. Ann. 311, No. 4, 765-790 (1998). Reviewer: A.Deitmar (Heidelberg) MSC: 11F75 11F12 PDFBibTeX XMLCite \textit{J. Franke} and \textit{J. Schwermer}, Math. Ann. 311, No. 4, 765--790 (1998; Zbl 0924.11042) Full Text: DOI
Franke, Jens Harmonic analysis in weighted \(L_2\)-spaces. (English) Zbl 0938.11026 Ann. Sci. Éc. Norm. Supér. (4) 31, No. 2, 181-279 (1998). Reviewer: Anton Deitmar (Heidelberg) MSC: 11F75 11F72 22E41 PDFBibTeX XMLCite \textit{J. Franke}, Ann. Sci. Éc. Norm. Supér. (4) 31, No. 2, 181--279 (1998; Zbl 0938.11026) Full Text: DOI Numdam EuDML
Franke, Jens; Runst, Thomas Regular elliptic boundary value problems in Besov-Triebel-Lizorkin spaces. (English) Zbl 0843.35026 Math. Nachr. 174, 113-149 (1995). Reviewer: J.Rákosník (Praha) MSC: 35J40 46E35 PDFBibTeX XMLCite \textit{J. Franke} and \textit{T. Runst}, Math. Nachr. 174, 113--149 (1995; Zbl 0843.35026) Full Text: DOI
Blasius, Don; Franke, Jens; Grunewald, Fritz Cohomology of \(S\)-arithmetic subgroups in the number field case. (English) Zbl 0798.11020 Invent. Math. 116, No. 1-3, 75-93 (1994). Reviewer: J.Schwermer (Eichstätt) MSC: 11F75 PDFBibTeX XMLCite \textit{D. Blasius} et al., Invent. Math. 116, No. 1--3, 75--93 (1994; Zbl 0798.11020) Full Text: DOI EuDML
Franke, Jens On the construction of elliptic cohomology. (English) Zbl 0777.55003 Math. Nachr. 158, 43-65 (1992). Reviewer: P.Landweber (New Brunswick) MSC: 55N22 57R77 PDFBibTeX XMLCite \textit{J. Franke}, Math. Nachr. 158, 43--65 (1992; Zbl 0777.55003) Full Text: DOI
Franke, Jens Chern functors. (English) Zbl 0742.14007 Arithmetic algebraic geometry, Proc. Conf., Texel/Neth. 1989, Prog. Math. 89, 75-152 (1991). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 14C40 14M12 57R20 PDFBibTeX XMLCite \textit{J. Franke}, Prog. Math. None, 75--152 (1991; Zbl 0742.14007)
Franke, Jens Chow categories. (English) Zbl 0726.14005 Compos. Math. 76, No. 1-2, 101-162 (1990). Reviewer: M.Stoia (Bucureşti) MSC: 14C05 14C40 18F25 19E15 14C35 PDFBibTeX XMLCite \textit{J. Franke}, Compos. Math. 76, No. 1--2, 101--162 (1990; Zbl 0726.14005) Full Text: Numdam EuDML
Franke, Jens; Manin, Yuri I.; Tschinkel, Yuri Erratum: Rational points of bounded height on Fano varieties. (English) Zbl 0709.14017 Invent. Math. 102, No. 2, 463 (1990). MSC: 14G05 14G25 14J45 11G50 PDFBibTeX XMLCite \textit{J. Franke} et al., Invent. Math. 102, No. 2, 463 (1990; Zbl 0709.14017) Full Text: DOI EuDML
Franke, Jens Besov spaces on local fields. (English) Zbl 0691.46023 Approximation and function spaces, Proc. 27th Semest., Warsaw/Pol. 1986, Banach Cent. Publ. 22, 131-136 (1989). Reviewer: T.Kilpeläinen MSC: 46E35 46S10 46B15 PDFBibTeX XML
Franke, Jens; Manin, Yuri I.; Tschinkel, Yuri Rational points of bounded height on Fano varieties. (English) Zbl 0674.14012 Invent. Math. 95, No. 2, 421-435 (1989). Reviewer: Daniel Bertrand (Paris) MSC: 14G05 14J45 14G25 11G50 PDFBibTeX XMLCite \textit{J. Franke} et al., Invent. Math. 95, No. 2, 421--435 (1989; Zbl 0674.14012) Full Text: DOI EuDML
Franke, Jens; Runst, Thomas Nonlinear perturbations of linear non-invertible boundary value problems in function spaces of type \(B^ s_{p,q}\) and \(F^ s_{p,q}\). (English) Zbl 0676.35031 Czech. Math. J. 38(113), No. 4, 623-641 (1988). Reviewer: G.Moroşanu MSC: 35J65 46E35 35A05 PDFBibTeX XMLCite \textit{J. Franke} and \textit{T. Runst}, Czech. Math. J. 38(113), No. 4, 623--641 (1988; Zbl 0676.35031) Full Text: EuDML
Franke, Jens; Runst, T. On the admissibility of function spaces of type \(B^ s_{p,q}\) and \(F^ s_{p,q}\), and boundary value problems for non-linear partial differential equations. (English) Zbl 0654.35034 Anal. Math. 13, No. 1, 3-27 (1987). Reviewer: F.Tomi MSC: 35J65 46E35 35J35 35R15 PDFBibTeX XMLCite \textit{J. Franke} and \textit{T. Runst}, Anal. Math. 13, No. 1, 3--27 (1987; Zbl 0654.35034) Full Text: DOI
Franke, Jens Fourier-Multiplikatoren, Littlewood-Paley-Theoreme und Approximation durch ganze analytische Funktionen in gewichteten Funktionenräumen. (Fourier multiplier, Littlewood-Paley theorems and approximation by entire functions in weighted spaces). (German) Zbl 0663.42013 Forschungsergeb., Friedrich-Schiller-Univ. Jena N/86/8, 1-11 (1986). MSC: 42A45 PDFBibTeX XML
Franke, Jens On the spaces \(F^ s_{pq}\) of Triebel-Lizorkin type: pointwise multipliers and spaces on domains. (English) Zbl 0617.46036 Math. Nachr. 125, 29-68 (1986). Reviewer: J.Achari MSC: 46E35 46M35 PDFBibTeX XMLCite \textit{J. Franke}, Math. Nachr. 125, 29--68 (1986; Zbl 0617.46036) Full Text: DOI
Franke, Jens Besov-Triebel-Lizorkin spaces and boundary value problems. (English) Zbl 0595.35121 Semin. Anal. 1984/85, 89-104 (1985). Reviewer: I.Evzerov MSC: 35S15 46E99 PDFBibTeX XML