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; 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; Lim, Donghyeok; Maire, Christian On the existence of Minkowski units. arXiv:2401.00181 Preprint, arXiv:2401.00181 [math.NT] (2023). MSC: 11R33 11R34 11R37 BibTeX Cite \textit{D. Burns} et al., ``On the existence of Minkowski units'', Preprint, arXiv:2401.00181 [math.NT] (2023) 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; 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
Burns, David On the Galois structure of arithmetic cohomology. I: Compactly supported \(p\)-adic cohomology. (English) Zbl 1459.11217 Nagoya Math. J. 239, 294-321 (2020). Reviewer: Piotr Krasoń (Szczecin) MSC: 11R34 11R23 20C11 PDFBibTeX XMLCite \textit{D. Burns}, Nagoya Math. J. 239, 294--321 (2020; Zbl 1459.11217) Full Text: DOI Link
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 On the Galois structure of arithmetic cohomology. III: Selmer groups of critical motives. (English) Zbl 1452.11074 Kyoto J. Math. 58, No. 3, 671-693 (2018). MSC: 11G35 11R33 11R34 PDFBibTeX XMLCite \textit{D. Burns}, Kyoto J. Math. 58, No. 3, 671--693 (2018; Zbl 1452.11074) Full Text: DOI
Burns, David; Kumon, Asuka On the Galois structure of arithmetic cohomology. II: Ray class groups. (English) Zbl 1441.11169 J. Math. Soc. Japan 70, No. 2, 481-517 (2018). MSC: 11G35 11R33 11R34 PDFBibTeX XMLCite \textit{D. Burns} and \textit{A. Kumon}, J. Math. Soc. Japan 70, No. 2, 481--517 (2018; Zbl 1441.11169) Full Text: DOI Euclid Link
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; Trihan, Fabien On geometric Iwasawa theory and special values of zeta functions. (English) Zbl 1384.11098 Bars, Francesc (ed.) et al., Arithmetic geometry over global function fields. Selected notes based on the presentations at five advanced courses on arithmetic geometry at the Centre de Recerca Matemàtica, CRM, Barcelona, Spain, February 22 – March 5 and April 6–16, 2010. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0852-1/pbk; 978-3-0348-0853-8/ebook). Advanced Courses in Mathematics – CRM Barcelona, 119-181 (2014). MSC: 11R23 11G25 PDFBibTeX XMLCite \textit{D. Burns} and \textit{F. Trihan}, in: Arithmetic geometry over global function fields. Selected notes based on the presentations at five advanced courses on arithmetic geometry at the Centre de Recerca Matemàtica, CRM, Barcelona, Spain, February 22 -- March 5 and April 6--16, 2010. Basel: Birkhäuser/Springer. 119--181 (2014; Zbl 1384.11098) Full Text: DOI
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
Barrett, James; Burns, David Annihilating Selmer modules. (English) Zbl 1276.11173 J. Reine Angew. Math. 675, 191-222 (2013). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R23 11G40 11S40 PDFBibTeX XMLCite \textit{J. Barrett} and \textit{D. Burns}, J. Reine Angew. Math. 675, 191--222 (2013; Zbl 1276.11173) Full Text: DOI
Burns, David On Artin formalism for the conjecture of Bloch and Kato. (English) Zbl 1368.11051 Math. Res. Lett. 19, No. 5, 1155-1169 (2012). MSC: 11F85 11R33 11R65 14K99 PDFBibTeX XMLCite \textit{D. Burns}, Math. Res. Lett. 19, No. 5, 1155--1169 (2012; Zbl 1368.11051) Full Text: DOI
Burns, David On derivatives of Artin \(L\)-series. (English) Zbl 1239.11128 Invent. Math. 186, No. 2, 291-371 (2011). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R42 11R33 11R29 PDFBibTeX XMLCite \textit{D. Burns}, Invent. Math. 186, No. 2, 291--371 (2011; Zbl 1239.11128) Full Text: DOI
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
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 On leading terms and values of equivariant motivic \(L\)-functions. (English) Zbl 1227.11118 Pure Appl. Math. Q. 6, No. 1, 83-172 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11R42 11R34 11R70 11R23 PDFBibTeX XMLCite \textit{D. Burns}, Pure Appl. Math. Q. 6, No. 1, 83--172 (2010; Zbl 1227.11118) Full Text: DOI
Burns, David On refined Stark conjectures in the non-abelian case. (English) Zbl 1184.11049 Math. Res. Lett. 15, No. 5-6, 841-856 (2008). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R42 11R33 11R27 PDFBibTeX XMLCite \textit{D. Burns}, Math. Res. Lett. 15, No. 5--6, 841--856 (2008; Zbl 1184.11049) Full Text: DOI
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 Congruences between derivatives of abelian \(L\)-functions at \(s =0\). (English) Zbl 1133.11063 Invent. Math. 169, No. 3, 451-499 (2007). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R42 11R34 11R33 PDFBibTeX XMLCite \textit{D. Burns}, Invent. Math. 169, No. 3, 451--499 (2007; Zbl 1133.11063) Full Text: DOI
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
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, David Equivariant Tamagawa numbers and refined abelian Stark conjectures. (English) Zbl 1037.11072 J. Math. Sci., Tokyo 10, No. 2, 225-259 (2003). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11G40 PDFBibTeX XMLCite \textit{D. Burns}, J. Math. Sci., Tokyo 10, No. 2, 225--259 (2003; Zbl 1037.11072)
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. Equivariant Tamagawa numbers and Galois module theory. I. (English) Zbl 1014.11070 Compos. Math. 129, No. 2, 203-237 (2001). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11G40 PDFBibTeX XMLCite \textit{D. Burns}, Compos. Math. 129, No. 2, 203--237 (2001; Zbl 1014.11070) Full Text: DOI
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
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.; Holland, D. Chinburg’s third invariant for abelian extensions of imaginary quadratic fields. (English) Zbl 0885.11060 Proc. Lond. Math. Soc., III. Ser. 74, No. 1, 29-51 (1997). Reviewer: G.Lettl (Graz) MSC: 11R33 11G16 11R65 11R18 11R27 PDFBibTeX XMLCite \textit{D. Burns} and \textit{D. Holland}, Proc. Lond. Math. Soc. (3) 74, No. 1, 29--51 (1997; Zbl 0885.11060) Full Text: DOI
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
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
Burns, D. On arithmetically realizable classes. (English) Zbl 0863.11077 Math. Proc. Camb. Philos. Soc. 118, No. 3, 383-392 (1995). Reviewer: T.Nguyen Quang Do (Besançon) MSC: 11R33 PDFBibTeX XMLCite \textit{D. Burns}, Math. Proc. Camb. Philos. Soc. 118, No. 3, 383--392 (1995; Zbl 0863.11077) Full Text: DOI
Burns, D. Adams operations and wild Galois structure invariants. (English) Zbl 0858.11059 Proc. Lond. Math. Soc., III. Ser. 71, No. 2, 241-262 (1995). Reviewer: T.Nguyen Quang Do (Besançon) MSC: 11R33 PDFBibTeX XMLCite \textit{D. Burns}, Proc. Lond. Math. Soc. (3) 71, No. 2, 241--262 (1995; Zbl 0858.11059) Full Text: DOI
Burns, D. On multiplicative Galois structure invariants. (English) Zbl 0863.11076 Am. J. Math. 117, No. 4, 875-903 (1995). Reviewer: J.Brinkhuis (Rotterdam) MSC: 11R33 PDFBibTeX XMLCite \textit{D. Burns}, Am. J. Math. 117, No. 4, 875--903 (1995; Zbl 0863.11076) Full Text: DOI
Burns, D. On twisted Galois-Gauß sums and canonical factorizations. (English) Zbl 0823.11067 Math. Z. 218, No. 2, 159-178 (1995). Reviewer: J.Brinkhuis (Rotterdam) MSC: 11R33 PDFBibTeX XMLCite \textit{D. Burns}, Math. Z. 218, No. 2, 159--178 (1995; Zbl 0823.11067) Full Text: DOI EuDML
Burns, D. On the Galois structure of units in number fields. (English) Zbl 0806.11049 Proc. Lond. Math. Soc., III. Ser. 66, No. 1, 71-91 (1993). Reviewer: J.Brinkhuis (Rotterdam) MSC: 11R33 11R20 11R27 PDFBibTeX XMLCite \textit{D. Burns}, Proc. Lond. Math. Soc. (3) 66, No. 1, 71--91 (1993; Zbl 0806.11049) Full Text: DOI
Burns, D. J. Canonical factorisability and a variant of Martinet’s conjecture. (English) Zbl 0751.11053 J. Lond. Math. Soc., II. Ser. 44, No. 1, 24-46 (1991). Reviewer: Richard A. Mollin (Calgary) MSC: 11R32 11R33 PDFBibTeX XMLCite \textit{D. J. Burns}, J. Lond. Math. Soc., II. Ser. 44, No. 1, 24--46 (1991; Zbl 0751.11053) Full Text: DOI
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
Burns, David J. Factorisability and wildly ramified Galois extensions. (English) Zbl 0727.11048 Ann. Inst. Fourier 41, No. 2, 393-430 (1991). Reviewer: D.J.Burns (London) MSC: 11R32 11S20 11R33 11S23 PDFBibTeX XMLCite \textit{D. J. Burns}, Ann. Inst. Fourier 41, No. 2, 393--430 (1991; Zbl 0727.11048) Full Text: DOI Numdam EuDML
Burns, D. On the Galois structure of the square root of the codifferent. (English) Zbl 0727.11047 Sémin. Théor. Nombres Bordx., Sér. II 3, No. 1, 73-92 (1991). Reviewer: Richard A. Mollin (Calgary) MSC: 11R32 13B05 11R33 PDFBibTeX XMLCite \textit{D. Burns}, Sémin. Théor. Nombres Bordx., Sér. II 3, No. 1, 73--92 (1991; Zbl 0727.11047) Full Text: DOI Numdam EuDML
Burns, D. On integral Stark conjectures (and multiplicative Galois module structures). (English) Zbl 0735.11061 J. Reine Angew. Math. 422, 141-163 (1991). Reviewer: G.Molenberghs (Antwerpen) MSC: 11R33 11R42 PDFBibTeX XMLCite \textit{D. Burns}, J. Reine Angew. Math. 422, 141--163 (1991; Zbl 0735.11061) Full Text: DOI Crelle EuDML
Burns, David J. Factorisability, group lattices, and Galois module structure. (English) Zbl 0734.11064 J. Algebra 134, No. 2, 257-270 (1990). Reviewer: M.E.Keating (London) MSC: 11R33 11S23 11R27 PDFBibTeX XMLCite \textit{D. J. Burns}, J. Algebra 134, No. 2, 257--270 (1990; Zbl 0734.11064) Full Text: DOI
Burns, D. J. Factorisability and the arithmetic of wildly ramified Galois extensions. (English) Zbl 0734.11065 Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 59-65 (1989). MSC: 11R33 11S23 11S15 11S20 PDFBibTeX XMLCite \textit{D. J. Burns}, Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 59--65 (1989; Zbl 0734.11065) Full Text: DOI Numdam EuDML