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Burns, David John

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Author ID: burns.david-j Recent zbMATH articles by "Burns, David John"
Published as: Burns, D.; Burns, D. J.; Burns, David; Burns, David J.
Homepage: http://www.mth.kcl.ac.uk/staff/d_burns.html
External Links: MGP · Wikidata · GND
Documents Indexed: 70 Publications since 1989, including 2 Books

Publications by Year

Citations contained in zbMATH

61 Publications have been cited 437 times in 157 Documents Cited by Year
Tamagawa numbers for motives with (non-commutative) coefficients. Zbl 1052.11077
Burns, D.; Flach, M.
50
2001
On the equivariant Tamagawa number conjecture for Tate motives. Zbl 1142.11076
Burns, D.; Greither, C.
45
2003
Congruences between derivatives of abelian \(L\)-functions at \(s =0\). Zbl 1133.11063
Burns, David
23
2007
Equivariant Tamagawa numbers and Galois module theory. I. Zbl 1014.11070
Burns, D.
20
2001
On derivatives of Artin \(L\)-series. Zbl 1239.11128
Burns, David
17
2011
On descent theory and main conjectures in non-commutative Iwasawa theory. Zbl 1213.11134
Burns, David; Venjakob, Otmar
15
2011
On leading terms and values of equivariant motivic \(L\)-functions. Zbl 1227.11118
Burns, David
15
2010
Equivariant epsilon constants, discriminants and étale cohomology. Zbl 1056.11071
Bley, W.; Burns, D.
14
2003
On Galois structure invariants associated to Tate motives. Zbl 0929.11050
Burns, D.; Flach, M.
14
1998
Leading terms of Artin \(L\)-functions at \(s=0\) and \(s=1\). Zbl 1135.11060
Breuning, Manuel; Burns, David
13
2007
Tamagawa numbers for motives with (noncommutative) coefficients. II. Zbl 1147.11317
Burns, D.; Flach, M.
13
2003
Additivity of Euler characteristics in relative algebraic \(K\)-groups. Zbl 1085.18011
Breuning, Manuel; Burns, David
12
2005
On the values of equivariant zeta functions of curves over finite fields. Zbl 1077.11049
Burns, David
11
2004
Equivariant Weierstrass preparation and values of \(L\)-functions at negative integers. Zbl 1142.11371
Burns, David; Greither, Cornelius
11
2003
On main conjectures in non-commutative Iwasawa theory and related conjectures. Zbl 1322.11110
Burns, David
10
2015
Equivariant Whitehead torsion and refined Euler characteristics. Zbl 1070.19003
Burns, David
9
2004
Motivic \(L\)-functions and Galois module structures. Zbl 0867.11081
Burns, D.; Flach, M.
9
1996
A non-abelian Stickelberger theorem. Zbl 1222.11130
Burns, David; Johnston, Henri
8
2011
On zeta elements for \(\mathbb G_m\). Zbl 1407.11133
Burns, David; Kurihara, Masato; Sano, Takamichi
7
2016
Congruences between derivatives of geometric \(L\)-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan. Zbl 1234.11080
Burns, David
7
2011
On the Galois structure of Selmer groups. Zbl 1334.11043
Burns, David; Castillo, Daniel Macias; Wuthrich, Christian
6
2015
On equivariant Dedekind zeta-functions at \(s=1\). Zbl 1230.11139
Breuning, Manuel; Burns, David
6
2010
On the equivariant Tamagawa number conjecture for Tate motives. II. Zbl 1156.11042
Burns, David; Flach, Matthias
6
2007
Organizing matrices for arithmetic complexes. Zbl 1311.11103
Burns, David; Macias Castillo, Daniel
5
2014
Algebraic \(p\)-adic \(L\)-functions in non-commutative Iwasawa theory. Zbl 1225.11137
Burns, David
5
2009
On refined Stark conjectures in the non-abelian case. Zbl 1184.11049
Burns, David
5
2008
Adams operations and integral Hermitian-Galois representations. Zbl 0865.11076
Burns, D.; Chinburg, T.
5
1996
On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil \(L\)-functions. Zbl 1381.11051
Burns, David; Macias Castillo, Daniel; Wuthrich, Christian
4
2018
Explicit units and the equivariant Tamagawa number conjecture. II. Zbl 1155.11053
Burns, David; Hayward, Anthony
4
2007
Equivariant Tamagawa numbers and refined abelian Stark conjectures. Zbl 1037.11072
Burns, David
4
2003
Equivariant Tamagawa numbers, Fitting ideals and Iwasawa theory. Zbl 0987.11069
Bley, W.; Burns, D.
4
2001
On arithmetical associated orders. Zbl 0857.11063
Bley, W.; Burns, D.
4
1996
On geometric Iwasawa theory and special values of zeta functions. Zbl 1384.11098
Burns, David; Trihan, Fabien
3
2014
Annihilating Selmer modules. Zbl 1276.11173
Barrett, James; Burns, David
3
2013
Perfecting the nearly perfect. Zbl 1198.19003
Burns, David
3
2008
On the leading terms of zeta isomorphisms and \(p\)-adic \(L\)-functions in non-commutative Iwasawa theory. Zbl 1142.11046
Burns, David; Venjakob, Otmar
3
2007
Explicit units and the equivariant Tamagawa number conjecture. Zbl 0984.11055
Bley, W.; Burns, D.
3
2001
On the equivariant structure of ideals in abelian extensions of local fields (with an appendix by W. Bley). Zbl 0998.11069
Burns, David
3
2000
Factorisability and wildly ramified Galois extensions. Zbl 0727.11048
Burns, David J.
3
1991
Factorisability, group lattices, and Galois module structure. Zbl 0734.11064
Burns, David J.
3
1990
On the Galois structure of arithmetic cohomology. III: Selmer groups of critical motives. Zbl 06959096
Burns, David
2
2018
On the Galois structure of arithmetic cohomology. II: Ray class groups. Zbl 1441.11169
Burns, David; Kumon, Asuka
2
2018
On Artin formalism for the conjecture of Bloch and Kato. Zbl 1368.11051
Burns, David
2
2012
On special elements in higher algebraic \(K\)-theory and the Lichtenbaum-Gross conjecture. Zbl 1259.11109
Burns, David; de Jeu, Rob; Gangl, Herbert
2
2012
On the refined class number formula of Gross. Zbl 1067.11072
Burns, David; Lee, Joongul
2
2004
Étale cohomology and a generalisation of Hilbert’s Theorem 132. Zbl 1002.11081
Bley, W.; Burns, D.
2
2002
Grothendieck groups of bundles on varieties over finite fields. Zbl 0998.14011
Agboola, A.; Burns, D.
2
2001
On multiplicative Galois structure invariants. Zbl 0863.11076
Burns, D.
2
1995
On the Galois structure of units in number fields. Zbl 0806.11049
Burns, D.
2
1993
On the Galois structure of the square root of the codifferent. Zbl 0727.11047
Burns, D.
2
1991
Canonical factorisability and a variant of Martinet’s conjecture. Zbl 0751.11053
Burns, D. J.
2
1991
On Selmer groups and refined Stark conjectures. Zbl 06968899
Burns, David; Livingstone Boomla, Alice
1
2018
On \(p\)-adic \(L\)-series, \(p\)-adic cohomology and class field theory. Zbl 1436.11130
Burns, David; Macias Castillo, Daniel
1
2017
On Iwasawa theory, zeta elements for \(\mathbb G_m\), and the equivariant Tamagawa number conjecture. Zbl 06775552
Burns, David; Kurihara, Masato; Sano, Takamichi
1
2017
On twisted forms and relative algebraic \(K\)-theory. Zbl 1198.11086
Agboola, A.; Burns, D.
1
2006
Refined and \(l\)-adic Euler characteristics of nearly perfect complexes. Zbl 1067.19001
Burns, David; Köck, Bernhard; Snaith, Victor
1
2004
On the Galois structure of equivariant line bundles on curves. Zbl 0923.14021
Agboola, A.; Burns, D.
1
1998
Chinburg’s third invariant for abelian extensions of imaginary quadratic fields. Zbl 0885.11060
Burns, D.; Holland, D.
1
1997
On arithmetically realizable classes. Zbl 0863.11077
Burns, D.
1
1995
Adams operations and wild Galois structure invariants. Zbl 0858.11059
Burns, D.
1
1995
Factorisability and the arithmetic of wildly ramified Galois extensions. Zbl 0734.11065
Burns, D. J.
1
1989
On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil \(L\)-functions. Zbl 1381.11051
Burns, David; Macias Castillo, Daniel; Wuthrich, Christian
4
2018
On the Galois structure of arithmetic cohomology. III: Selmer groups of critical motives. Zbl 06959096
Burns, David
2
2018
On the Galois structure of arithmetic cohomology. II: Ray class groups. Zbl 1441.11169
Burns, David; Kumon, Asuka
2
2018
On Selmer groups and refined Stark conjectures. Zbl 06968899
Burns, David; Livingstone Boomla, Alice
1
2018
On \(p\)-adic \(L\)-series, \(p\)-adic cohomology and class field theory. Zbl 1436.11130
Burns, David; Macias Castillo, Daniel
1
2017
On Iwasawa theory, zeta elements for \(\mathbb G_m\), and the equivariant Tamagawa number conjecture. Zbl 06775552
Burns, David; Kurihara, Masato; Sano, Takamichi
1
2017
On zeta elements for \(\mathbb G_m\). Zbl 1407.11133
Burns, David; Kurihara, Masato; Sano, Takamichi
7
2016
On main conjectures in non-commutative Iwasawa theory and related conjectures. Zbl 1322.11110
Burns, David
10
2015
On the Galois structure of Selmer groups. Zbl 1334.11043
Burns, David; Castillo, Daniel Macias; Wuthrich, Christian
6
2015
Organizing matrices for arithmetic complexes. Zbl 1311.11103
Burns, David; Macias Castillo, Daniel
5
2014
On geometric Iwasawa theory and special values of zeta functions. Zbl 1384.11098
Burns, David; Trihan, Fabien
3
2014
Annihilating Selmer modules. Zbl 1276.11173
Barrett, James; Burns, David
3
2013
On Artin formalism for the conjecture of Bloch and Kato. Zbl 1368.11051
Burns, David
2
2012
On special elements in higher algebraic \(K\)-theory and the Lichtenbaum-Gross conjecture. Zbl 1259.11109
Burns, David; de Jeu, Rob; Gangl, Herbert
2
2012
On derivatives of Artin \(L\)-series. Zbl 1239.11128
Burns, David
17
2011
On descent theory and main conjectures in non-commutative Iwasawa theory. Zbl 1213.11134
Burns, David; Venjakob, Otmar
15
2011
A non-abelian Stickelberger theorem. Zbl 1222.11130
Burns, David; Johnston, Henri
8
2011
Congruences between derivatives of geometric \(L\)-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan. Zbl 1234.11080
Burns, David
7
2011
On leading terms and values of equivariant motivic \(L\)-functions. Zbl 1227.11118
Burns, David
15
2010
On equivariant Dedekind zeta-functions at \(s=1\). Zbl 1230.11139
Breuning, Manuel; Burns, David
6
2010
Algebraic \(p\)-adic \(L\)-functions in non-commutative Iwasawa theory. Zbl 1225.11137
Burns, David
5
2009
On refined Stark conjectures in the non-abelian case. Zbl 1184.11049
Burns, David
5
2008
Perfecting the nearly perfect. Zbl 1198.19003
Burns, David
3
2008
Congruences between derivatives of abelian \(L\)-functions at \(s =0\). Zbl 1133.11063
Burns, David
23
2007
Leading terms of Artin \(L\)-functions at \(s=0\) and \(s=1\). Zbl 1135.11060
Breuning, Manuel; Burns, David
13
2007
On the equivariant Tamagawa number conjecture for Tate motives. II. Zbl 1156.11042
Burns, David; Flach, Matthias
6
2007
Explicit units and the equivariant Tamagawa number conjecture. II. Zbl 1155.11053
Burns, David; Hayward, Anthony
4
2007
On the leading terms of zeta isomorphisms and \(p\)-adic \(L\)-functions in non-commutative Iwasawa theory. Zbl 1142.11046
Burns, David; Venjakob, Otmar
3
2007
On twisted forms and relative algebraic \(K\)-theory. Zbl 1198.11086
Agboola, A.; Burns, D.
1
2006
Additivity of Euler characteristics in relative algebraic \(K\)-groups. Zbl 1085.18011
Breuning, Manuel; Burns, David
12
2005
On the values of equivariant zeta functions of curves over finite fields. Zbl 1077.11049
Burns, David
11
2004
Equivariant Whitehead torsion and refined Euler characteristics. Zbl 1070.19003
Burns, David
9
2004
On the refined class number formula of Gross. Zbl 1067.11072
Burns, David; Lee, Joongul
2
2004
Refined and \(l\)-adic Euler characteristics of nearly perfect complexes. Zbl 1067.19001
Burns, David; Köck, Bernhard; Snaith, Victor
1
2004
On the equivariant Tamagawa number conjecture for Tate motives. Zbl 1142.11076
Burns, D.; Greither, C.
45
2003
Equivariant epsilon constants, discriminants and étale cohomology. Zbl 1056.11071
Bley, W.; Burns, D.
14
2003
Tamagawa numbers for motives with (noncommutative) coefficients. II. Zbl 1147.11317
Burns, D.; Flach, M.
13
2003
Equivariant Weierstrass preparation and values of \(L\)-functions at negative integers. Zbl 1142.11371
Burns, David; Greither, Cornelius
11
2003
Equivariant Tamagawa numbers and refined abelian Stark conjectures. Zbl 1037.11072
Burns, David
4
2003
Étale cohomology and a generalisation of Hilbert’s Theorem 132. Zbl 1002.11081
Bley, W.; Burns, D.
2
2002
Tamagawa numbers for motives with (non-commutative) coefficients. Zbl 1052.11077
Burns, D.; Flach, M.
50
2001
Equivariant Tamagawa numbers and Galois module theory. I. Zbl 1014.11070
Burns, D.
20
2001
Equivariant Tamagawa numbers, Fitting ideals and Iwasawa theory. Zbl 0987.11069
Bley, W.; Burns, D.
4
2001
Explicit units and the equivariant Tamagawa number conjecture. Zbl 0984.11055
Bley, W.; Burns, D.
3
2001
Grothendieck groups of bundles on varieties over finite fields. Zbl 0998.14011
Agboola, A.; Burns, D.
2
2001
On the equivariant structure of ideals in abelian extensions of local fields (with an appendix by W. Bley). Zbl 0998.11069
Burns, David
3
2000
On Galois structure invariants associated to Tate motives. Zbl 0929.11050
Burns, D.; Flach, M.
14
1998
On the Galois structure of equivariant line bundles on curves. Zbl 0923.14021
Agboola, A.; Burns, D.
1
1998
Chinburg’s third invariant for abelian extensions of imaginary quadratic fields. Zbl 0885.11060
Burns, D.; Holland, D.
1
1997
Motivic \(L\)-functions and Galois module structures. Zbl 0867.11081
Burns, D.; Flach, M.
9
1996
Adams operations and integral Hermitian-Galois representations. Zbl 0865.11076
Burns, D.; Chinburg, T.
5
1996
On arithmetical associated orders. Zbl 0857.11063
Bley, W.; Burns, D.
4
1996
On multiplicative Galois structure invariants. Zbl 0863.11076
Burns, D.
2
1995
On arithmetically realizable classes. Zbl 0863.11077
Burns, D.
1
1995
Adams operations and wild Galois structure invariants. Zbl 0858.11059
Burns, D.
1
1995
On the Galois structure of units in number fields. Zbl 0806.11049
Burns, D.
2
1993
Factorisability and wildly ramified Galois extensions. Zbl 0727.11048
Burns, David J.
3
1991
On the Galois structure of the square root of the codifferent. Zbl 0727.11047
Burns, D.
2
1991
Canonical factorisability and a variant of Martinet’s conjecture. Zbl 0751.11053
Burns, D. J.
2
1991
Factorisability, group lattices, and Galois module structure. Zbl 0734.11064
Burns, David J.
3
1990
Factorisability and the arithmetic of wildly ramified Galois extensions. Zbl 0734.11065
Burns, D. J.
1
1989
all top 5

Cited by 116 Authors

17 Burns, David John
13 Bley, Werner
10 Nickel, Andreas
7 Macias Castillo, Daniel
6 Greither, Cornelius
6 Popescu, Cristian D.
4 Buckingham, Paul Richard
4 Flach, Matthias
4 Johnston, Henri L. A.
4 Kakde, Mahesh
4 Kings, Guido
4 Longhi, Ignazio
4 Nguyen Quang Do, Thong
4 Tan, Ki-Seng
4 Venjakob, Otmar
4 Witte, Malte
3 Bars, Francesc
3 Breuning, Manuel
3 Burns, David Peter
3 Delbourgo, Daniel
3 Kučera, Radan
3 Kurihara, Masato
3 Lai, King Fai
3 Nomura, Jiro
3 Roblot, Xavier-François
3 Sands, Jonathan W.
3 Sano, Takamichi
3 Taylor, Martin J.
3 Trihan, Fabien
2 Bandini, Andrea
2 Bartel, Alex
2 Beliaeva, Tatiana
2 Belliard, Jean-Robert
2 Benois, Denis
2 Burns, David M.
2 Byott, Nigel P.
2 Chinburg, Ted
2 de Jeu, Rob
2 Fouquet, Olivier
2 Gangl, Herbert
2 Huang, Po-Yi
2 Huber-Klawitter, Annette
2 Kato, Kazuya
2 Köck, Bernhard
2 Morin, Baptiste
2 Navilarekallu, Tejaswi
2 Pappas, Georgios
2 Tsang, Cindy Sin Yi
2 Vallières, Daniel
1 Agboola, Adebisi
1 Anglès, Bruno
1 Aoki, Noboru
1 Atsuta, Mahiro
1 Bachoc, Christine
1 Banaszak, Grzegorz
1 Barth, Peter
1 Bräunling, Oliver
1 Browkin, Jerzy
1 Brunault, François
1 Caputo, Luca
1 Cassou-Noguès, Philippe
1 Chao, Qin
1 Chapdelaine, Hugo
1 Coates, John H.
1 Cobbe, Alessandro
1 de Smit, Bart
1 Debeerst, Ruben
1 Dejou, Gaelle
1 Diamond, Fred
1 Dokchitser, Tim
1 Dubois, I.
1 El Boukhari, Saad
1 Elder, Gove Griffith
1 Emmons, Caleb J.
1 Endres, Michael G.
1 Fearnley, Jack
1 Fukaya, Takako
1 Guo, Li
1 Hara, Takashi
1 Hazewinkel, Michiel
1 Izychev, Dmitriy
1 Jamshidi, Arya
1 Jehanne, Arnaud
1 Johnson-Leung, Jennifer
1 Kim, Sey Y.
1 Kisilevsky, Hershy
1 Kolster, Manfred
1 Kueh, Ka-Lam
1 Kumon, Asuka
1 Lee, Joongul
1 Lei, Antonio
1 Lim, Meng Fai
1 Longo, Matteo
1 Mazur, Barry
1 McCulloh, Leon
1 McGown, Kevin J.
1 Miura, Takashi
1 Ouyang, Yi
1 Peters, Lloyd
1 Ritter, Jürgen
...and 16 more Authors
all top 5

Cited in 47 Serials

26 Journal of Number Theory
9 Journal für die Reine und Angewandte Mathematik
8 Journal de Théorie des Nombres de Bordeaux
8 International Journal of Number Theory
7 Journal of Algebra
6 Mathematics of Computation
6 Mathematische Zeitschrift
5 Annales de l’Institut Fourier
5 Mathematische Annalen
5 Tokyo Journal of Mathematics
4 Compositio Mathematica
4 Inventiones Mathematicae
4 Documenta Mathematica
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Transactions of the American Mathematical Society
3 Experimental Mathematics
3 Journal of Algebraic Geometry
3 LMS Journal of Computation and Mathematics
3 Journal of \(K\)-Theory
2 Acta Arithmetica
2 Advances in Mathematics
2 Duke Mathematical Journal
2 Mathematische Nachrichten
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2 Journal of the European Mathematical Society (JEMS)
2 Algebra & Number Theory
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Canadian Journal of Mathematics
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Manuscripta Mathematica
1 Nagoya Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 \(K\)-Theory
1 The New York Journal of Mathematics
1 The Ramanujan Journal
1 Annals of Mathematics. Second Series
1 Journal of the Australian Mathematical Society
1 Journal of the Institute of Mathematics of Jussieu
1 Science China. Mathematics
1 Kyoto Journal of Mathematics
1 Annales Mathématiques du Québec
1 Journal de l’École Polytechnique – Mathématiques

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