Bassa, Alp Towers of function fields over cubic fields. (English) Zbl 1220.11141 Duisburg-Essen: Univ. Duisburg-Essen, Fachbereich für Mathematik (Diss.). 54 p. (2006). MSC: 11R58 11T71 11G20 94B40 PDFBibTeX XMLCite \textit{A. Bassa}, Towers of function fields over cubic fields. Duisburg-Essen: Univ. Duisburg-Essen, Fachbereich für Mathematik (Diss.) (2006; Zbl 1220.11141) Full Text: Link
Giacomini, H.; Giné, J.; Grau, M. Integrability of planar polynomial differential systems through linear differential equations. (English) Zbl 1140.34001 Rocky Mt. J. Math. 36, No. 2, 457-485 (2006). Reviewer: Alexey Remizov (Porto) MSC: 34A05 34C05 34C20 PDFBibTeX XMLCite \textit{H. Giacomini} et al., Rocky Mt. J. Math. 36, No. 2, 457--485 (2006; Zbl 1140.34001) Full Text: DOI arXiv Euclid
Ahmad, Sarfraz; Popescu, Angel On the arithmetic of the rational function field \(K(X)\). (English) Zbl 1133.12002 J. Prime Res. Math. 2, 198-202 (2006). MSC: 12F20 11R58 12J20 12F05 PDFBibTeX XMLCite \textit{S. Ahmad} and \textit{A. Popescu}, J. Prime Res. Math. 2, 198--202 (2006; Zbl 1133.12002)
Ihara, Yasutaka On the Euler-Kronecker constants of global fields and primes with small norms. (English) Zbl 1185.11069 Ginzburg, Victor (ed.), Algebraic geometry and number theory. In Honor of Vladimir Drinfeld’s 50th birthday. Basel: Birkhäuser (ISBN 978-0-8176-4471-0/hbk). Progress in Mathematics 253, 407-451 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 11R42 11R47 11R58 PDFBibTeX XMLCite \textit{Y. Ihara}, Prog. Math. 253, 407--451 (2006; Zbl 1185.11069) Full Text: DOI
Gerdjikov, V. S. Analytic and algebraic aspects of Toda field theories and their real Hamiltonian forms. (English) Zbl 1123.37043 Faddeev, Ludwig (ed.) et al., Bilinear integrable systems. From classical to quantum, continuous to discrete. Proceedings of the NATO advanced research workshop, St. Petersburg, Russia, September 15–19, 2002. Dordrecht: Springer (ISBN 978-1-4020-3502-9/pbk; 978-1-4020-3501-2/hbk; 978-1-4020-3503-6/e-book). NATO Science Series II: Mathematics, Physics and Chemistry 201, 77-83 (2006). MSC: 37K60 37K15 37K30 17B80 PDFBibTeX XMLCite \textit{V. S. Gerdjikov}, NATO Sci. Ser. II, Math. Phys. Chem. 201, 77--83 (2006; Zbl 1123.37043) Full Text: DOI
Gutierrez, Jaime; Sevilla, David Computation of unirational fields. (English) Zbl 1149.12001 J. Symb. Comput. 41, No. 11, 1222-1244 (2006). MSC: 12F05 12-04 PDFBibTeX XMLCite \textit{J. Gutierrez} and \textit{D. Sevilla}, J. Symb. Comput. 41, No. 11, 1222--1244 (2006; Zbl 1149.12001) Full Text: DOI arXiv
Beth, Thomas; Müller-Quade, Jörn; Steinwandt, Rainer Computing restrictions of ideals in finitely generated \(k\)-algebras by means of Buchberger’s algorithm. (English) Zbl 1130.13017 J. Symb. Comput. 41, No. 3-4, 372-380 (2006). Reviewer: Vilmar Trevisan (Porto Alegre) MSC: 13P10 68W30 12Y05 PDFBibTeX XMLCite \textit{T. Beth} et al., J. Symb. Comput. 41, No. 3--4, 372--380 (2006; Zbl 1130.13017) Full Text: DOI
van der Poorten, Alfred J. Hyperelliptic curves, continued fractions, and Somos sequences. (English) Zbl 1221.11015 Denteneer, Dee (ed.) et al., Dynamics and stochastics. Festschrift in honor of M. S. Keane. Selected papers based on the presentations at the conference ‘Dynamical systems, probability theory, and statistical mechanics’, Eindhoven, The Netherlands, January 3–7, 2005, on the occasion of the 65th birthday of Mike S. Keane. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 0-940600-64-1/pbk). Institute of Mathematical Statistics Lecture Notes - Monograph Series 48, 212-224 (2006). Reviewer: Takao Komatsu (Hirosaki) MSC: 11A55 11G05 14H05 14H52 PDFBibTeX XMLCite \textit{A. J. van der Poorten}, IMS Lect. Notes, Monogr. Ser. 48, 212--224 (2006; Zbl 1221.11015) Full Text: DOI arXiv
Deitmar, Anton Remarks on zeta functions and \(K\)-theory over \({\mathbb F}_1\). (English) Zbl 1173.14004 Proc. Japan Acad., Ser. A 82, No. 8, 141-146 (2006). Reviewer: Martin Bright (Warwick) MSC: 14A15 11G25 14G15 19D06 19F27 11S40 11S70 PDFBibTeX XMLCite \textit{A. Deitmar}, Proc. Japan Acad., Ser. A 82, No. 8, 141--146 (2006; Zbl 1173.14004) Full Text: DOI arXiv Euclid
Weng, Lin A rank two zeta and its zeros. (English) Zbl 1173.11355 J. Ramanujan Math. Soc. 21, No. 3, 205-266 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 11R42 11M26 PDFBibTeX XMLCite \textit{L. Weng}, J. Ramanujan Math. Soc. 21, No. 3, 205--266 (2006; Zbl 1173.11355)
Masri, Riad Multiple zeta values over global function fields. (English) Zbl 1124.11045 Friedberg, Solomon (ed.) et al., Multiple Dirichlet series, automorphic forms, and analytic number theory. Proceedings of the Bretton Woods workshop on multiple Dirichlet series, Bretton Woods, NH, USA, July 11–14, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3963-2/hbk). Proceedings of Symposia in Pure Mathematics 75, 157-175 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 11M41 14H05 PDFBibTeX XMLCite \textit{R. Masri}, Proc. Symp. Pure Math. 75, 157--175 (2006; Zbl 1124.11045) Full Text: arXiv
Hui, Ping Convergent behaviors of vacuum wave function in \(2+1\)-\(\mathrm{D}\) \(\mathrm{SU}(3)\) lattice gauge theory. (Chinese. English summary) Zbl 1107.81311 Acta Sci. Nat. Univ. Sunyatseni 45, No. 5, 31-33 (2006). MSC: 81R50 81T25 81T13 17B37 PDFBibTeX XMLCite \textit{P. Hui}, Acta Sci. Nat. Univ. Sunyatseni 45, No. 5, 31--33 (2006; Zbl 1107.81311)
Yoshida, Tomoyoshi An abelianization of the SU(2) WZW model. (English) Zbl 1112.14040 Ann. Math. (2) 164, No. 1, 1-49 (2006). Reviewer: Julien Keller (London) MSC: 14H60 14D20 14H40 14D21 53D50 53C07 PDFBibTeX XMLCite \textit{T. Yoshida}, Ann. Math. (2) 164, No. 1, 1--49 (2006; Zbl 1112.14040) Full Text: DOI
Clark, Pete L. On elementary equivalence, isomorphism and isogeny. (English) Zbl 1106.12003 J. Théor. Nombres Bordx. 18, No. 1, 29-58 (2006). Reviewer: Detlev Hoffmann (Nottingham) MSC: 12F20 11E04 11G05 11R58 12L12 14M15 16K50 PDFBibTeX XMLCite \textit{P. L. Clark}, J. Théor. Nombres Bordx. 18, No. 1, 29--58 (2006; Zbl 1106.12003) Full Text: DOI Numdam EuDML
Zeidler, Eberhard Quantum field theory. I: Basics in mathematics and physics. A bridge between mathematicians and physicists. (English) Zbl 1124.81002 Berlin: Springer (ISBN 3-540-34762-3/hbk). xxiv, 1020 p. (2006). Reviewer: Akira Asada (Takarazuka) MSC: 81-01 81Txx 81Q05 81Q30 81S40 81U20 PDFBibTeX XMLCite \textit{E. Zeidler}, Quantum field theory. I: Basics in mathematics and physics. A bridge between mathematicians and physicists. Berlin: Springer (2006; Zbl 1124.81002)
Kuhlmann, Franz-Viktor Additive polynomials and their role in the model theory of valued fields. (English) Zbl 1107.03036 Enayat, Ali (ed.) et al., Logic in Tehran. Proceedings of the workshop and conference on logic, algebra and arithmetic, Tehran, Iran, October 18–22, 2003. Wellesley, MA: AK Peters (ISBN 1-56881-296-5/pbk; 1-56881-295-7/hbk). Lecture Notes in Logic 26, 160-203 (2006). MSC: 03C60 12J10 12L12 PDFBibTeX XMLCite \textit{F.-V. Kuhlmann}, Lect. Notes Log. 26, 160--203 (2006; Zbl 1107.03036) Full Text: arXiv
Gutierrez, Jaime; Sevilla, David Building counterexamples to generalizations for rational functions of Ritt’s decomposition theorem. (English) Zbl 1129.12008 J. Algebra 303, No. 2, 655-667 (2006). Reviewer: Vilmar Trevisan (Porto Alegre) MSC: 12Y05 68W30 12F05 PDFBibTeX XMLCite \textit{J. Gutierrez} and \textit{D. Sevilla}, J. Algebra 303, No. 2, 655--667 (2006; Zbl 1129.12008) Full Text: DOI arXiv
Douglas, Christopher L. On the fibrewise Poincaré-Hopf theorem. (English) Zbl 1109.55009 Ádem, Alejandro (ed.) et al., Recent developments in algebraic topology. A conference to celebrate Sam Gitler’s 70th birthday, San Miguel de Allende, México, December 3–6, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3676-5/pbk). Contemporary Mathematics 407, 101-111 (2006). Reviewer: Daniel H. Gottlieb (Lafayette) MSC: 55R12 58C30 55R70 57R22 PDFBibTeX XMLCite \textit{C. L. Douglas}, Contemp. Math. 407, 101--111 (2006; Zbl 1109.55009)
Schneider, Peter Continuous representation theory of \(p\)-adic Lie groups. (English) Zbl 1138.22014 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 1261-1282 (2006). Reviewer: Manouchehr Misaghian (Charlotte) MSC: 22E50 11S37 11F20 PDFBibTeX XMLCite \textit{P. Schneider}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 1261--1282 (2006; Zbl 1138.22014)
Lee, Yoonjin; Pacelli, Allison M. Higher rank subgroups in the class groups of imaginary function fields. (English) Zbl 1133.11062 J. Pure Appl. Algebra 207, No. 1, 51-62 (2006). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11R29 11R58 PDFBibTeX XMLCite \textit{Y. Lee} and \textit{A. M. Pacelli}, J. Pure Appl. Algebra 207, No. 1, 51--62 (2006; Zbl 1133.11062) Full Text: DOI
Pablos Romo, Fernando An approach to a 2-dimensional Contou-Carrrère symbol. (English) Zbl 1105.19005 Muñoz Porras, José M. (ed.) et al., The geometry of Riemann surfaces and abelian varieties. III Iberoamerican congress on geometry in honor of Professor Sevín Recillas-Pishmish’s 60th birthday, Salamanca, Spain, June 8–12, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3855-5/pbk). Contemporary Mathematics 397, 163-175 (2006). Reviewer: Manfred Kolster (Hamilton/Ontario) MSC: 19F15 14H05 20F12 11S31 PDFBibTeX XMLCite \textit{F. Pablos Romo}, Contemp. Math. 397, 163--175 (2006; Zbl 1105.19005)
Anderson, Greg A two-variable refinement of the Stark conjecture in the function-field case. (English) Zbl 1127.11044 Compos. Math. 142, No. 3, 563-615 (2006). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11G45 11R58 11G09 11J93 33E50 43A25 PDFBibTeX XMLCite \textit{G. Anderson}, Compos. Math. 142, No. 3, 563--615 (2006; Zbl 1127.11044) Full Text: DOI arXiv
Fukui, T.; Khovanskii, A. Mapping degree and Euler characteristic. (English) Zbl 1109.58019 Kodai Math. J. 29, No. 1, 144-162 (2006). Reviewer: Dorin Andrica (Cluj-Napoca) MSC: 58E05 58C25 58K15 57R20 57R45 58K20 PDFBibTeX XMLCite \textit{T. Fukui} and \textit{A. Khovanskii}, Kodai Math. J. 29, No. 1, 144--162 (2006; Zbl 1109.58019) Full Text: DOI
Güneri, Cem; Özbudak, Ferruh Improvements on generalized Hamming weights of some trace codes. (English) Zbl 1172.94643 Des. Codes Cryptography 39, No. 2, 215-231 (2006). MSC: 94B27 11G20 11R58 11T71 94B65 PDFBibTeX XMLCite \textit{C. Güneri} and \textit{F. Özbudak}, Des. Codes Cryptography 39, No. 2, 215--231 (2006; Zbl 1172.94643) Full Text: DOI
Lemmermeyer, Franz (ed.); Roquette, Peter (ed.) [Hasse, Helmut; Noether, Emmy] Helmut Hasse and Emmy Noether. Their correspondence 1925–1935. With comments and an introduction in English. (Helmut Hasse und Emmy Noether. Die Korrespondenz 1925–1935.) (German, English) Zbl 1101.01010 Göttingen: Universitätsverlag Göttingen (ISBN 3-938616-35-0/hbk). 301 p. (2006). Reviewer: Karl-Heinz Schlote (Leipzig) MSC: 01A60 01A70 PDFBibTeX XMLCite \textit{F. Lemmermeyer} (ed.) and \textit{P. Roquette} (ed.), Helmut Hasse und Emmy Noether. Die Korrespondenz 1925--1935. Göttingen: Universitätsverlag Göttingen (2006; Zbl 1101.01010) Full Text: Link
Lee, Yoonjin Class number divisibility of relative quadratic function fields. (English) Zbl 1159.11044 Acta Arith. 121, No. 2, 161-173 (2006). Reviewer: Alexey Zykin (Moskva) MSC: 11R29 11R58 PDFBibTeX XMLCite \textit{Y. Lee}, Acta Arith. 121, No. 2, 161--173 (2006; Zbl 1159.11044) Full Text: DOI
Hoffmann, Detlev W.; Laghribi, Ahmed Isotropy of quadratic forms over the function field of a quadric in characteristic 2. (English) Zbl 1138.11012 J. Algebra 295, No. 2, 362-386 (2006). Reviewer: Albrecht Pfister (Mainz) MSC: 11E81 11E04 PDFBibTeX XMLCite \textit{D. W. Hoffmann} and \textit{A. Laghribi}, J. Algebra 295, No. 2, 362--386 (2006; Zbl 1138.11012) Full Text: DOI
Ballet, S.; Le Brigand, D. On the existence of non-special divisors of degree \(g\) and \(g-1\) in algebraic function fields over \(\mathbb{F}_2\). (English) Zbl 1091.11040 J. Number Theory 116, No. 2, 293-310 (2006). Reviewer: Andreas Schweizer (Exeter) MSC: 11R58 11G20 PDFBibTeX XMLCite \textit{S. Ballet} and \textit{D. Le Brigand}, J. Number Theory 116, No. 2, 293--310 (2006; Zbl 1091.11040) Full Text: DOI arXiv
Tikhonov, Sergey V.; Van Geel, Jan; Yanchevskij, Vyacheslav I. Pythagoras numbers of function fields of hyperelliptic curves with good reduction. (English) Zbl 1120.14016 Manuscr. Math. 119, No. 3, 305-322 (2006). Reviewer: Niels Schwartz (Passau) MSC: 14H05 11E25 12D15 12G05 PDFBibTeX XMLCite \textit{S. V. Tikhonov} et al., Manuscr. Math. 119, No. 3, 305--322 (2006; Zbl 1120.14016) Full Text: DOI
Bautista-Ancona, Victor; Diaz-Vargas, Javier Quadratic function fields with exponent two ideal class group. (English) Zbl 1161.11405 J. Number Theory 116, No. 1, 21-41 (2006). MSC: 11R58 11R29 11R11 PDFBibTeX XMLCite \textit{V. Bautista-Ancona} and \textit{J. Diaz-Vargas}, J. Number Theory 116, No. 1, 21--41 (2006; Zbl 1161.11405) Full Text: DOI arXiv
Artin, Emil Algebraic numbers and algebraic functions. Reprint of the 1967 original. (English) Zbl 1091.11001 Providence, RI: AMS Chelsea Publishing (ISBN 0-8218-4075-4/hbk). xiii, 349 p. (2006). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11Rxx 11Sxx 14H25 12H05 12G05 PDFBibTeX XMLCite \textit{E. Artin}, Algebraic numbers and algebraic functions. Reprint of the 1967 original. Providence, RI: AMS Chelsea Publishing (2006; Zbl 1091.11001)
Swanson, Irena; Villamayor, Orlando On free integral extensions generated by one element. (English) Zbl 1108.13010 Corso, Alberto (ed.) et al., Commutative algebra: geometric, homological, combinatorial and computational aspects. Papers presented during the conference, Sevilla, Spain, June 18–21, 2003 and the conference on commutative algebra, Lisbon, Portugal, June 23–27, 2003. Boca Raton, FL: Chapman & Hall/CRC (ISBN 0-8247-2335-X/pbk). Lecture Notes in Pure and Applied Mathematics 244, 139-257 (2006). Reviewer: Martine Picavet-L’Hermitte (Le Cendre) MSC: 13B02 13H05 12F05 13A35 13B22 PDFBibTeX XMLCite \textit{I. Swanson} and \textit{O. Villamayor}, Lect. Notes Pure Appl. Math. 244, 139--257 (2006; Zbl 1108.13010)