Agboola, Adebisi; Burns, David John; Caputo, Luca; Kuang, Yu On the square root of the inverse different. (English) Zbl 07787690 Can. J. Math. 76, No. 1, 283-318 (2024). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11R32 11R42 PDFBibTeX XMLCite \textit{A. Agboola} et al., Can. J. Math. 76, No. 1, 283--318 (2024; Zbl 07787690) Full Text: DOI arXiv OA License
Burns, David; Kuang, Yu; Liang, Dingli On the Coherency of Completed Group Algebra. arXiv:2401.05506 Preprint, arXiv:2401.05506 [math.KT] (2024). MSC: 16D10 16E05 20E18 16S34 BibTeX Cite \textit{D. Burns} et al., ``On the Coherency of Completed Group Algebra'', Preprint, arXiv:2401.05506 [math.KT] (2024) Full Text: arXiv OA License
Burns, David; Daoud, Alexandre; Liang, Dingli On Non-Noetherian Iwasawa Theory. arXiv:2401.02946 Preprint, arXiv:2401.02946 [math.NT] (2024). MSC: 11R20 11R23 11R29 11R34 11R58 11R60 11R65 11T30 13F05 19F27 BibTeX Cite \textit{D. Burns} et al., ``On Non-Noetherian Iwasawa Theory'', Preprint, arXiv:2401.02946 [math.NT] (2024) Full Text: arXiv OA License
Burns, David; Daoud, Alexandre Adelic Euler systems for \(\mathbb{G}_m\). (English) Zbl 07787883 Tôhoku Math. J. (2) 75, No. 3, 329-346 (2023). MSC: 11R42 11R27 PDFBibTeX XMLCite \textit{D. Burns} and \textit{A. Daoud}, Tôhoku Math. J. (2) 75, No. 3, 329--346 (2023; Zbl 07787883) Full Text: DOI
Bullach, Dominik; Burns, David; Sano, Takamichi On \(p\)-adic families of special elements for rank-one motives. (English) Zbl 07731959 Trans. Am. Math. Soc. 376, No. 8, 5377-5407 (2023). Reviewer: Cornelius Greither (Neubiberg) MSC: 11G40 11R23 PDFBibTeX XMLCite \textit{D. Bullach} et al., Trans. Am. Math. Soc. 376, No. 8, 5377--5407 (2023; Zbl 07731959) Full Text: DOI arXiv
Burns, David; Daoud, Alexandre; Sano, Takamichi; Seo, Soogil On Euler systems for the multiplicative group over general number fields. (English) Zbl 1523.11207 Publ. Mat., Barc. 67, No. 1, 89-126 (2023). Reviewer: Isabelle Dubois (Metz) MSC: 11R42 11R27 PDFBibTeX XMLCite \textit{D. Burns} et al., Publ. Mat., Barc. 67, No. 1, 89--126 (2023; Zbl 1523.11207) Full Text: DOI arXiv
Burns, David; Castillo, Daniel Macias; Seo, Soogil On Weil-Stark elements, II: refined Stark conjectures. arXiv:2310.10581 Preprint, arXiv:2310.10581 [math.NT] (2023). BibTeX Cite \textit{D. Burns} et al., ``On Weil-Stark elements, II: refined Stark conjectures'', Preprint, arXiv:2310.10581 [math.NT] (2023) Full Text: arXiv OA License
Burns, David; Sano, Takamichi On non-commutative Iwasawa theory and derivatives of Euler systems. arXiv:2211.00276 Preprint, arXiv:2211.00276 [math.NT] (2022). BibTeX Cite \textit{D. Burns} and \textit{T. Sano}, ``On non-commutative Iwasawa theory and derivatives of Euler systems'', Preprint, arXiv:2211.00276 [math.NT] (2022) Full Text: arXiv OA License
Burns, David; Sano, Takamichi; Tsoi, Kwok-Wing On higher special elements of \(p\)-adic representations. (English) Zbl 1497.11268 Int. Math. Res. Not. 2021, No. 20, 15337-15411 (2021). MSC: 11R23 11R32 PDFBibTeX XMLCite \textit{D. Burns} et al., Int. Math. Res. Not. 2021, No. 20, 15337--15411 (2021; Zbl 1497.11268) Full Text: DOI arXiv
Burns, David; Sano, Takamichi On the theory of higher rank Euler, Kolyvagin and Stark systems. (English) Zbl 1496.11132 Int. Math. Res. Not. 2021, No. 13, 10118-10206 (2021). MSC: 11R23 13A18 13E10 PDFBibTeX XMLCite \textit{D. Burns} and \textit{T. Sano}, Int. Math. Res. Not. 2021, No. 13, 10118--10206 (2021; Zbl 1496.11132) Full Text: DOI arXiv
Burns, David; de Jeu, Rob; Gangl, Herbert; Rahm, Alexander D.; Yasaki, Dan Hyperbolic tessellations and generators of \(K_3\) for imaginary quadratic fields. (English) Zbl 1473.19003 Forum Math. Sigma 9, Paper No. e40, 47 p. (2021). Reviewer: Piotr Krasoń (Szczecin) MSC: 19F27 11G55 11R70 19D45 11R42 20H20 51M20 PDFBibTeX XMLCite \textit{D. Burns} et al., Forum Math. Sigma 9, Paper No. e40, 47 p. (2021; Zbl 1473.19003) Full Text: DOI arXiv
Burns, David; Seo, Soogil On circular distributions and a conjecture of Coleman. (English) Zbl 1473.11199 Isr. J. Math. 241, No. 1, 343-393 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R18 11R27 PDFBibTeX XMLCite \textit{D. Burns} and \textit{S. Seo}, Isr. J. Math. 241, No. 1, 343--393 (2021; Zbl 1473.11199) Full Text: DOI arXiv
Bullach, Dominik; Burns, David; Daoud, Alexandre; Seo, Soogil Dirichlet \(L\)-series at \(s=0\) and the scarcity of Euler systems. arXiv:2111.14689 Preprint, arXiv:2111.14689 [math.NT] (2021). BibTeX Cite \textit{D. Bullach} et al., ``Dirichlet $L$-series at $s=0$ and the scarcity of Euler systems'', Preprint, arXiv:2111.14689 [math.NT] (2021) Full Text: arXiv OA License
Burns, David; Castillo, Daniel Macias; Seo, Soogil On Weil-Stark elements, I: general properties. arXiv:2111.11109 Preprint, arXiv:2111.11109 [math.NT] (2021). BibTeX Cite \textit{D. Burns} et al., ``On Weil-Stark elements, I: general properties'', Preprint, arXiv:2111.11109 [math.NT] (2021) Full Text: arXiv OA License
Burns, David; Daoud, Alexandre; Seo, Soogil On a conjecture of Coleman concerning Euler systems. arXiv:2104.09724 Preprint, arXiv:2104.09724 [math.NT] (2021). MSC: 11R42 11R27 BibTeX Cite \textit{D. Burns} et al., ``On a conjecture of Coleman concerning Euler systems'', Preprint, arXiv:2104.09724 [math.NT] (2021) Full Text: arXiv OA License
Burns, David; Kurihara, Masato; Sano, Takamichi On derivatives of Kato’s Euler system and the Mazur-Tate Conjecture. arXiv:2103.11535 Preprint, arXiv:2103.11535 [math.NT] (2021). BibTeX Cite \textit{D. Burns} et al., ``On derivatives of Kato's Euler system and the Mazur-Tate Conjecture'', Preprint, arXiv:2103.11535 [math.NT] (2021) Full Text: arXiv OA License
Burns, David; Kurihara, Masato; Sano, Takamichi On Stark elements of arbitrary weight and their \(p\)-adic families. (English) Zbl 1469.11458 Kurihara, Masato (ed.) et al., Development of Iwasawa theory – the centennial of K. Iwasawa’s birth. Proceedings of the international conference “Iwasawa 2017”, University of Tokyo, Tokyo, Japan, July 19–28, 2017. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 86, 113-140 (2020). MSC: 11S40 11R29 11R34 11R70 PDFBibTeX XMLCite \textit{D. Burns} et al., Adv. Stud. Pure Math. 86, 113--140 (2020; Zbl 1469.11458) Full Text: DOI arXiv
Bley, Werner; Burns, David; Hahn, Carl On refined metric and Hermitian structures in arithmetic. I: Galois-Gauss sums and weak ramification. (English) Zbl 1451.11121 Ann. \(K\)-Theory 5, No. 1, 79-140 (2020). Reviewer: Andreas Nickel (Essen) MSC: 11R33 16E20 19A49 PDFBibTeX XMLCite \textit{W. Bley} et al., Ann. \(K\)-Theory 5, No. 1, 79--140 (2020; Zbl 1451.11121) Full Text: DOI arXiv
Burns, David; Sano, Takamichi On non-commutative Euler systems. arXiv:2004.10564 Preprint, arXiv:2004.10564 [math.NT] (2020). BibTeX Cite \textit{D. Burns} and \textit{T. Sano}, ``On non-commutative Euler systems'', Preprint, arXiv:2004.10564 [math.NT] (2020) Full Text: arXiv OA License
Burns, David; Sano, Takamichi On functional equations of Euler systems. arXiv:2003.02153 Preprint, arXiv:2003.02153 [math.NT] (2020). BibTeX Cite \textit{D. Burns} and \textit{T. Sano}, ``On functional equations of Euler systems'', Preprint, arXiv:2003.02153 [math.NT] (2020) Full Text: arXiv OA License
Burns, David; Castillo, Daniel Macias On refined conjectures of Birch and Swinnerton-Dyer type for Hasse-Weil-Artin L-series. arXiv:1909.03959 Preprint, arXiv:1909.03959 [math.NT] (2019). BibTeX Cite \textit{D. Burns} and \textit{D. M. Castillo}, ``On refined conjectures of Birch and Swinnerton-Dyer type for Hasse-Weil-Artin L-series'', Preprint, arXiv:1909.03959 [math.NT] (2019) Full Text: arXiv OA License
Burns, David; Kurihara, Masato; Sano, Takamichi On derivatives of Kato’s Euler system for elliptic curves. arXiv:1910.07404 Preprint, arXiv:1910.07404 [math.NT] (2019). BibTeX Cite \textit{D. Burns} et al., ``On derivatives of Kato's Euler system for elliptic curves'', Preprint, arXiv:1910.07404 [math.NT] (2019) Full Text: arXiv OA License
Burns, David; Sakamoto, Ryotaro; Sano, Takamichi On the theory of higher rank Euler, Kolyvagin and Stark systems, IV: the multiplicative group. arXiv:1903.09509 Preprint, arXiv:1903.09509 [math.NT] (2019). BibTeX Cite \textit{D. Burns} et al., ``On the theory of higher rank Euler, Kolyvagin and Stark systems, IV: the multiplicative group'', Preprint, arXiv:1903.09509 [math.NT] (2019) Full Text: arXiv OA License
Burns, David; Sakamoto, Ryotaro; Sano, Takamichi On the theory of higher rank Euler, Kolyvagin and Stark systems, III: applications. arXiv:1902.07002 Preprint, arXiv:1902.07002 [math.NT] (2019). BibTeX Cite \textit{D. Burns} et al., ``On the theory of higher rank Euler, Kolyvagin and Stark systems, III: applications'', Preprint, arXiv:1902.07002 [math.NT] (2019) Full Text: arXiv OA License
Burns, David; Macias Castillo, Daniel; Wuthrich, Christian On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil \(L\)-functions. (English) Zbl 1381.11051 J. Reine Angew. Math. 734, 187-228 (2018). Reviewer: Andreas Nickel (Essen) MSC: 11G40 11G10 11R23 14K15 PDFBibTeX XMLCite \textit{D. Burns} et al., J. Reine Angew. Math. 734, 187--228 (2018; Zbl 1381.11051) Full Text: DOI arXiv
Burns, David; Sakamoto, Ryotaro; Sano, Takamichi On the theory of higher rank Euler, Kolyvagin and Stark systems, II. arXiv:1805.08448 Preprint, arXiv:1805.08448 [math.NT] (2018). BibTeX Cite \textit{D. Burns} et al., ``On the theory of higher rank Euler, Kolyvagin and Stark systems, II'', Preprint, arXiv:1805.08448 [math.NT] (2018) Full Text: arXiv OA License
Burns, David; Macias Castillo, Daniel On \(p\)-adic \(L\)-series, \(p\)-adic cohomology and class field theory. (English) Zbl 1436.11130 J. Reine Angew. Math. 732, 55-83 (2017). MSC: 11R23 11S40 PDFBibTeX XMLCite \textit{D. Burns} and \textit{D. Macias Castillo}, J. Reine Angew. Math. 732, 55--83 (2017; Zbl 1436.11130) Full Text: DOI
Burns, David; Kurihara, Masato; Sano, Takamichi On Iwasawa theory, zeta elements for \(\mathbb G_m\), and the equivariant Tamagawa number conjecture. (English) Zbl 1455.11158 Algebra Number Theory 11, No. 7, 1527-1571 (2017). Reviewer: Lawrence C. Washington (College Park) MSC: 11S40 11R23 11R29 11R42 PDFBibTeX XMLCite \textit{D. Burns} et al., Algebra Number Theory 11, No. 7, 1527--1571 (2017; Zbl 1455.11158) Full Text: DOI
Burns, David; Kurihara, Masato; Sano, Takamichi On zeta elements for \(\mathbb G_m\). (English) Zbl 1407.11133 Doc. Math. 21, 555-626 (2016). MSC: 11R42 11R23 11R29 PDFBibTeX XMLCite \textit{D. Burns} et al., Doc. Math. 21, 555--626 (2016; Zbl 1407.11133) Full Text: arXiv EMIS
Burns, David; Castillo, Daniel Macias; Wuthrich, Christian On the Galois structure of Selmer groups. (English) Zbl 1334.11043 Int. Math. Res. Not. 2015, No. 22, 11909-11933 (2015). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G10 11R34 14K15 PDFBibTeX XMLCite \textit{D. Burns} et al., Int. Math. Res. Not. 2015, No. 22, 11909--11933 (2015; Zbl 1334.11043) Full Text: DOI arXiv Link
Burns, David; Kurihara, Masato; Sano, Takamichi Iwasawa theory and zeta elements for \(\mathbb{G}_m\). arXiv:1506.07935 Preprint, arXiv:1506.07935 [math.NT] (2015). BibTeX Cite \textit{D. Burns} et al., ``Iwasawa theory and zeta elements for $\mathbb{G}_m$'', Preprint, arXiv:1506.07935 [math.NT] (2015) Full Text: arXiv OA License
Burns, David; Macias Castillo, Daniel Organizing matrices for arithmetic complexes. (English) Zbl 1311.11103 Int. Math. Res. Not. 2014, No. 10, 2814-2883 (2014). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R23 11G05 19F05 11R70 PDFBibTeX XMLCite \textit{D. Burns} and \textit{D. Macias Castillo}, Int. Math. Res. Not. 2014, No. 10, 2814--2883 (2014; Zbl 1311.11103) Full Text: DOI Link
Burns, David; de Jeu, Rob; Gangl, Herbert On special elements in higher algebraic \(K\)-theory and the Lichtenbaum-Gross conjecture. (English) Zbl 1259.11109 Adv. Math. 230, No. 3, 1502-1529 (2012). Reviewer: Paul Buckingham (Edmonton) MSC: 11R70 19F27 11R42 PDFBibTeX XMLCite \textit{D. Burns} et al., Adv. Math. 230, No. 3, 1502--1529 (2012; Zbl 1259.11109) Full Text: DOI arXiv
Burns, David; Johnston, Henri A non-abelian Stickelberger theorem. (English) Zbl 1222.11130 Compos. Math. 147, No. 1, 35-55 (2011). Reviewer: Andreas Nickel (Regensburg) MSC: 11R29 11R42 11R33 PDFBibTeX XMLCite \textit{D. Burns} and \textit{H. Johnston}, Compos. Math. 147, No. 1, 35--55 (2011; Zbl 1222.11130) Full Text: DOI arXiv
Burns, David; Venjakob, Otmar On descent theory and main conjectures in non-commutative Iwasawa theory. (English) Zbl 1213.11134 J. Inst. Math. Jussieu 10, No. 1, 59-118 (2011). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11G40 11R65 19A31 19B28 PDFBibTeX XMLCite \textit{D. Burns} and \textit{O. Venjakob}, J. Inst. Math. Jussieu 10, No. 1, 59--118 (2011; Zbl 1213.11134) Full Text: DOI arXiv
Breuning, Manuel; Burns, David On equivariant Dedekind zeta-functions at \(s=1\). (English) Zbl 1230.11139 Doc. Math. Extra Vol., Andrei A. Suslin’s Sixtieth Birthday, 119-146 (2010). Reviewer: Andreas Nickel (Regensburg) MSC: 11R42 11R33 PDFBibTeX XMLCite \textit{M. Breuning} and \textit{D. Burns}, Doc. Math. Extra Vol., 119--146 (2010; Zbl 1230.11139) Full Text: EuDML EMIS
Burns, David; Seo, Soogil On the Galois cohomology of ideal class groups. (English) Zbl 1139.11046 Arch. Math. 89, No. 6, 536-540 (2007). Reviewer: Günter Lettl (Graz) MSC: 11R34 11S40 PDFBibTeX XMLCite \textit{D. Burns} and \textit{S. Seo}, Arch. Math. 89, No. 6, 536--540 (2007; Zbl 1139.11046) Full Text: DOI
Burns, David; Hayward, Anthony Explicit units and the equivariant Tamagawa number conjecture. II. (English) Zbl 1155.11053 Comment. Math. Helv. 82, No. 3, 477-497 (2007). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 PDFBibTeX XMLCite \textit{D. Burns} and \textit{A. Hayward}, Comment. Math. Helv. 82, No. 3, 477--497 (2007; Zbl 1155.11053) Full Text: DOI
Breuning, Manuel; Burns, David Leading terms of Artin \(L\)-functions at \(s=0\) and \(s=1\). (English) Zbl 1135.11060 Compos. Math. 143, No. 6, 1427-1464 (2007). Reviewer: Jürgen Ritter (Augsburg) MSC: 11R42 11R33 11R34 PDFBibTeX XMLCite \textit{M. Breuning} and \textit{D. Burns}, Compos. Math. 143, No. 6, 1427--1464 (2007; Zbl 1135.11060) Full Text: DOI
Burns, David (ed.); Buzzard, Kevin (ed.); Nekovář, Jan (ed.) \(L\)-functions and Galois representations. Based on the symposium, Durham, UK, July 19–30, 2004. (English) Zbl 1130.11004 London Mathematical Society Lecture Note Series 320. Cambridge: Cambridge University Press (ISBN 978-0-521-69415-5/pbk). xi, 563 p. (2007). MSC: 11-06 11Fxx 00B25 PDFBibTeX XMLCite \textit{D. Burns} (ed.) et al., \(L\)-functions and Galois representations. Based on the symposium, Durham, UK, July 19--30, 2004. Cambridge: Cambridge University Press (2007; Zbl 1130.11004)
Burns, David; Venjakob, Otmar On the leading terms of zeta isomorphisms and \(p\)-adic \(L\)-functions in non-commutative Iwasawa theory. (English) Zbl 1142.11046 Doc. Math. Extra Vol., John H. Coates’ Sixtieth Birthday, 165-209 (2006). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11G40 11R65 19A31 19B28 PDFBibTeX XMLCite \textit{D. Burns} and \textit{O. Venjakob}, Doc. Math. Extra Vol., 165--209 (2007; Zbl 1142.11046) Full Text: arXiv EuDML EMIS
Burns, David; Flach, Matthias On the equivariant Tamagawa number conjecture for Tate motives. II. (English) Zbl 1156.11042 Doc. Math. Extra Vol., John H. Coates’ Sixtieth Birthday, 133-163 (2006). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11R18 PDFBibTeX XMLCite \textit{D. Burns} and \textit{M. Flach}, Doc. Math. Extra Vol., 133--163 (2007; Zbl 1156.11042) Full Text: EuDML EMIS
Agboola, A.; Burns, D. On twisted forms and relative algebraic \(K\)-theory. (English) Zbl 1198.11086 Proc. Lond. Math. Soc. (3) 92, No. 1, 1-28 (2006). Reviewer: Nguyen Quang Do Thong (Besançon) MSC: 11R33 19A99 PDFBibTeX XMLCite \textit{A. Agboola} and \textit{D. Burns}, Proc. Lond. Math. Soc. (3) 92, No. 1, 1--28 (2006; Zbl 1198.11086) Full Text: DOI arXiv
Breuning, Manuel; Burns, David Additivity of Euler characteristics in relative algebraic \(K\)-groups. (English) Zbl 1085.18011 Homology Homotopy Appl. 7, No. 3, Conf., 11-36 (2005). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 18E30 18D10 16E20 18E10 PDFBibTeX XMLCite \textit{M. Breuning} and \textit{D. Burns}, Homology Homotopy Appl. 7, No. 3, 11--36 (2005; Zbl 1085.18011) Full Text: DOI Link
Popescu, Cristian Burns, David (ed.); Sands, Jonathan (ed.); Solomon, David (ed.) Stark’s conjectures: recent work and new directions. Papers from the international conference on Stark’s conjectures and related topics, Johns Hopkins University, Baltimore, MD, USA, August 5–9, 2002. (English) Zbl 1052.11003 Contemporary Mathematics 358. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3480-0/pbk). x, 221 p. (2004). MSC: 11-06 00B25 PDFBibTeX XMLCite \textit{C. Popescu} et al., Stark's conjectures: recent work and new directions. Papers from the international conference on Stark's conjectures and related topics, Johns Hopkins University, Baltimore, MD, USA, August 5--9, 2002. Providence, RI: American Mathematical Society (AMS) (2004; Zbl 1052.11003) Full Text: DOI
Burns, David; Lee, Joongul On the refined class number formula of Gross. (English) Zbl 1067.11072 J. Number Theory 107, No. 2, 282-286 (2004). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11R58 11R29 20C05 PDFBibTeX XMLCite \textit{D. Burns} and \textit{J. Lee}, J. Number Theory 107, No. 2, 282--286 (2004; Zbl 1067.11072) Full Text: DOI
Burns, David; Köck, Bernhard; Snaith, Victor Refined and \(l\)-adic Euler characteristics of nearly perfect complexes. (English) Zbl 1067.19001 J. Algebra 272, No. 1, 247-272 (2004). Reviewer: M. E. Keating (London) MSC: 19A31 18G35 11S40 11S70 PDFBibTeX XMLCite \textit{D. Burns} et al., J. Algebra 272, No. 1, 247--272 (2004; Zbl 1067.19001) Full Text: DOI arXiv
Bley, W.; Burns, D. Equivariant epsilon constants, discriminants and étale cohomology. (English) Zbl 1056.11071 Proc. Lond. Math. Soc., III. Ser. 87, No. 3, 545-590 (2003). Reviewer: Günter Lettl (Graz) MSC: 11R33 11R42 PDFBibTeX XMLCite \textit{W. Bley} and \textit{D. Burns}, Proc. Lond. Math. Soc. (3) 87, No. 3, 545--590 (2003; Zbl 1056.11071) Full Text: DOI
Burns, David; Greither, Cornelius Equivariant Weierstrass preparation and values of \(L\)-functions at negative integers. (English) Zbl 1142.11371 Doc. Math. Extra Vol., Kazuya Kato’s Fiftieth Birthday, 157-185 (2003). MSC: 11R42 11R33 11R70 PDFBibTeX XMLCite \textit{D. Burns} and \textit{C. Greither}, Doc. Math. Extra Vol., 157--185 (2003; Zbl 1142.11371) Full Text: EuDML EMIS
Burns, D.; Greither, C. On the equivariant Tamagawa number conjecture for Tate motives. (English) Zbl 1142.11076 Invent. Math. 153, No. 2, 303-359 (2003). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11R18 PDFBibTeX XMLCite \textit{D. Burns} and \textit{C. Greither}, Invent. Math. 153, No. 2, 303--359 (2003; Zbl 1142.11076) Full Text: DOI
Burns, D.; Flach, M. Tamagawa numbers for motives with (noncommutative) coefficients. II. (English) Zbl 1147.11317 Am. J. Math. 125, No. 3, 475-512 (2003). Reviewer: Cornelius Greither (Neubiberg) MSC: 11G40 11R65 PDFBibTeX XMLCite \textit{D. Burns} and \textit{M. Flach}, Am. J. Math. 125, No. 3, 475--512 (2003; Zbl 1147.11317) Full Text: DOI
Bley, W.; Burns, D. Étale cohomology and a generalisation of Hilbert’s Theorem 132. (English) Zbl 1002.11081 Math. Z. 239, No. 1, 1-25 (2002). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11R18 PDFBibTeX XMLCite \textit{W. Bley} and \textit{D. Burns}, Math. Z. 239, No. 1, 1--25 (2002; Zbl 1002.11081) Full Text: DOI
Burns, D.; Flach, M. Tamagawa numbers for motives with (non-commutative) coefficients. (English) Zbl 1052.11077 Doc. Math. 6, 501-570 (2001). MSC: 11R65 11G40 19A31 19B28 PDFBibTeX XMLCite \textit{D. Burns} and \textit{M. Flach}, Doc. Math. 6, 501--570 (2001; Zbl 1052.11077) Full Text: EuDML EMIS
Bley, W.; Burns, D. Explicit units and the equivariant Tamagawa number conjecture. (English) Zbl 0984.11055 Am. J. Math. 123, No. 5, 931-949 (2001). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 19F27 11R18 PDFBibTeX XMLCite \textit{W. Bley} and \textit{D. Burns}, Am. J. Math. 123, No. 5, 931--949 (2001; Zbl 0984.11055) Full Text: DOI Link
Agboola, A.; Burns, D. Grothendieck groups of bundles on varieties over finite fields. (English) Zbl 0998.14011 \(K\)-Theory 23, No. 3, 251-303 (2001). Reviewer: Andreas Cap (Wien) MSC: 14F05 14G15 14H60 18F10 19A31 19E08 PDFBibTeX XMLCite \textit{A. Agboola} and \textit{D. Burns}, \(K\)-Theory 23, No. 3, 251--303 (2001; Zbl 0998.14011) Full Text: DOI
Bley, W.; Burns, D. Equivariant Tamagawa numbers, Fitting ideals and Iwasawa theory. (English) Zbl 0987.11069 Compos. Math. 126, No. 2, 213-247 (2001). Reviewer: G.Lettl (Graz) MSC: 11R33 11R18 11R23 PDFBibTeX XMLCite \textit{W. Bley} and \textit{D. Burns}, Compos. Math. 126, No. 2, 213--247 (2001; Zbl 0987.11069) Full Text: DOI
Burns, David [Bley, Werner] On the equivariant structure of ideals in abelian extensions of local fields (with an appendix by W. Bley). (English) Zbl 0998.11069 Comment. Math. Helv. 75, No. 1, 1-44 (2000). Reviewer: Cornelius Greither (Neubiberg) MSC: 11S23 11R33 PDFBibTeX XMLCite \textit{D. Burns}, Comment. Math. Helv. 75, No. 1, 1--44 (2000; Zbl 0998.11069) Full Text: DOI
Burns, D.; Flach, M. On Galois structure invariants associated to Tate motives. (English) Zbl 0929.11050 Am. J. Math. 120, No. 6, 1343-1397 (1998). Reviewer: Manfred Kolster (Hamilton/Ontario) MSC: 11R33 11R70 14C35 PDFBibTeX XMLCite \textit{D. Burns} and \textit{M. Flach}, Am. J. Math. 120, No. 6, 1343--1397 (1998; Zbl 0929.11050) Full Text: DOI Link
Agboola, A.; Burns, D. On the Galois structure of equivariant line bundles on curves. (English) Zbl 0923.14021 Am. J. Math. 120, No. 6, 1121-1163 (1998). Reviewer: G.Lettl (Graz) MSC: 14H60 11R33 14L30 PDFBibTeX XMLCite \textit{A. Agboola} and \textit{D. Burns}, Am. J. Math. 120, No. 6, 1121--1163 (1998; Zbl 0923.14021) Full Text: DOI Link Link
Burns, D.; Chinburg, T. Adams operations and integral Hermitian-Galois representations. (English) Zbl 0865.11076 Am. J. Math. 118, No. 5, 925-962 (1996). Reviewer: T.Nguyen Quang Do (Besançon) MSC: 11R34 11R29 12G05 18F30 PDFBibTeX XMLCite \textit{D. Burns} and \textit{T. Chinburg}, Am. J. Math. 118, No. 5, 925--962 (1996; Zbl 0865.11076) Full Text: DOI Link
Bley, W.; Burns, D. On arithmetical associated orders. (Über arithmetische assoziierte Ordnungen.) (German) Zbl 0857.11063 J. Number Theory 58, No. 2, 361-387 (1996). Reviewer: T.Nguyen Quang Do (Besançon) MSC: 11S23 11Y40 PDFBibTeX XMLCite \textit{W. Bley} and \textit{D. Burns}, J. Number Theory 58, No. 2, 361--387 (1996; Zbl 0857.11063) Full Text: DOI
Burns, D.; Flach, M. Motivic \(L\)-functions and Galois module structures. (English) Zbl 0867.11081 Math. Ann. 305, No. 1, 65-102 (1996). Reviewer: G.Lettl (Graz) MSC: 11R33 11G40 14G10 PDFBibTeX XMLCite \textit{D. Burns} and \textit{M. Flach}, Math. Ann. 305, No. 1, 65--102 (1996; Zbl 0867.11081) Full Text: DOI EuDML
Cassou-Noguès, Ph.; Chinburg, T.; Fröhlich, A.; Taylor, M. J. [Burns, D.; Byott, N. P.] L-functions and Galois modules. Notes by D. Burns and N. P. Byott. (English) Zbl 0733.11044 L-functions and arithmetic, Proc. Symp., Durham/UK 1989, Lond. Math. Soc. Lect. Note Ser. 153, 75-139 (1991). Reviewer: P.Bayer (Barcelona) MSC: 11R33 11R42 11R32 11-02 PDFBibTeX XML