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Author ID: burns.david-j Recent zbMATH articles by "Burns, David John"
Published as: Burns, David; Burns, D.; Burns, David J.; Burns, D. J.
Homepage: http://www.mth.kcl.ac.uk/staff/d_burns.html
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Publications by Year

Citations contained in zbMATH Open

65 Publications have been cited 493 times in 176 Documents Cited by Year
Tamagawa numbers for motives with (non-commutative) coefficients. Zbl 1052.11077
Burns, D.; Flach, M.
55
2001
On the equivariant Tamagawa number conjecture for Tate motives. Zbl 1142.11076
Burns, D.; Greither, C.
49
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.
21
2001
On descent theory and main conjectures in non-commutative Iwasawa theory. Zbl 1213.11134
Burns, David; Venjakob, Otmar
19
2011
On Galois structure invariants associated to Tate motives. Zbl 0929.11050
Burns, D.; Flach, M.
19
1998
On derivatives of Artin \(L\)-series. Zbl 1239.11128
Burns, David
18
2011
Equivariant Weierstrass preparation and values of \(L\)-functions at negative integers. Zbl 1142.11371
Burns, David; Greither, Cornelius
16
2003
Equivariant epsilon constants, discriminants and étale cohomology. Zbl 1056.11071
Bley, W.; Burns, D.
15
2003
On leading terms and values of equivariant motivic \(L\)-functions. Zbl 1227.11118
Burns, David
15
2010
Leading terms of Artin \(L\)-functions at \(s=0\) and \(s=1\). Zbl 1135.11060
Breuning, Manuel; Burns, David
14
2007
Tamagawa numbers for motives with (noncommutative) coefficients. II. Zbl 1147.11317
Burns, D.; Flach, M.
14
2003
On zeta elements for \(\mathbb G_m\). Zbl 1407.11133
Burns, David; Kurihara, Masato; Sano, Takamichi
12
2016
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
12
2004
On main conjectures in non-commutative Iwasawa theory and related conjectures. Zbl 1322.11110
Burns, David
11
2015
Motivic \(L\)-functions and Galois module structures. Zbl 0867.11081
Burns, D.; Flach, M.
10
1996
Equivariant Whitehead torsion and refined Euler characteristics. Zbl 1070.19003
Burns, David
9
2004
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
8
2011
On the equivariant Tamagawa number conjecture for Tate motives. II. Zbl 1156.11042
Burns, David; Flach, Matthias
7
2007
On equivariant Dedekind zeta-functions at \(s=1\). Zbl 1230.11139
Breuning, Manuel; Burns, David
6
2010
On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil \(L\)-functions. Zbl 1381.11051
Burns, David; Macias Castillo, Daniel; Wuthrich, Christian
5
2018
On the Galois structure of Selmer groups. Zbl 1334.11043
Burns, David; Castillo, Daniel Macias; Wuthrich, Christian
5
2015
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
Adams operations and integral Hermitian-Galois representations. Zbl 0865.11076
Burns, D.; Chinburg, T.
5
1996
On the leading terms of zeta isomorphisms and \(p\)-adic \(L\)-functions in non-commutative Iwasawa theory. Zbl 1142.11046
Burns, David; Venjakob, Otmar
5
2007
On refined Stark conjectures in the non-abelian case. Zbl 1184.11049
Burns, David
5
2008
On the equivariant structure of ideals in abelian extensions of local fields (with an appendix by W. Bley). Zbl 0998.11069
Burns, David
4
2000
L-functions and Galois modules. Notes by D. Burns and N. P. Byott. Zbl 0733.11044
Cassou-Noguès, Ph.; Chinburg, T.; Fröhlich, A.; Taylor, M. J.
4
1991
Factorisability, group lattices, and Galois module structure. Zbl 0734.11064
Burns, David J.
4
1990
Explicit units and the equivariant Tamagawa number conjecture. II. Zbl 1155.11053
Burns, David; Hayward, Anthony
4
2007
Equivariant Tamagawa numbers, Fitting ideals and Iwasawa theory. Zbl 0987.11069
Bley, W.; Burns, D.
4
2001
On arithmetical associated orders. (Über arithmetische assoziierte Ordnungen.) Zbl 0857.11063
Bley, W.; Burns, D.
4
1996
Equivariant Tamagawa numbers and refined abelian Stark conjectures. Zbl 1037.11072
Burns, David
4
2003
Annihilating Selmer modules. Zbl 1276.11173
Barrett, James; Burns, David
3
2013
Canonical factorisability and a variant of Martinet’s conjecture. Zbl 0751.11053
Burns, D. J.
3
1991
On special elements in higher algebraic \(K\)-theory and the Lichtenbaum-Gross conjecture. Zbl 1259.11109
Burns, David; de Jeu, Rob; Gangl, Herbert
3
2012
Factorisability and wildly ramified Galois extensions. Zbl 0727.11048
Burns, David J.
3
1991
On geometric Iwasawa theory and special values of zeta functions. Zbl 1384.11098
Burns, David; Trihan, Fabien
3
2014
Perfecting the nearly perfect. Zbl 1198.19003
Burns, David
3
2008
On derivatives of \(p\)-adic \(L\)-series at \(s = 0\). Zbl 07201148
Burns, David
3
2020
Explicit units and the equivariant Tamagawa number conjecture. Zbl 0984.11055
Bley, W.; Burns, D.
3
2001
On Iwasawa theory, zeta elements for \(\mathbb G_m\), and the equivariant Tamagawa number conjecture. Zbl 1455.11158
Burns, David; Kurihara, Masato; Sano, Takamichi
2
2017
On Artin formalism for the conjecture of Bloch and Kato. Zbl 1368.11051
Burns, David
2
2012
On the Galois structure of the square root of the codifferent. Zbl 0727.11047
Burns, D.
2
1991
On twisted forms and relative algebraic \(K\)-theory. Zbl 1198.11086
Agboola, A.; Burns, D.
2
2006
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 refined class number formula of Gross. Zbl 1067.11072
Burns, David; Lee, Joongul
2
2004
On the Galois structure of arithmetic cohomology. III: Selmer groups of critical motives. Zbl 1452.11074
Burns, David
2
2018
Étale cohomology and a generalisation of Hilbert’s Theorem 132. Zbl 1002.11081
Bley, W.; Burns, D.
2
2002
On the Galois structure of units in number fields. Zbl 0806.11049
Burns, D.
2
1993
On the Galois structure of arithmetic cohomology. II: Ray class groups. Zbl 1441.11169
Burns, David; Kumon, Asuka
2
2018
On the theory of higher rank Euler, Kolyvagin and Stark systems. Zbl 07455995
Burns, David; Sano, Takamichi
2
2021
Factorisability and the arithmetic of wildly ramified Galois extensions. Zbl 0734.11065
Burns, D. J.
1
1989
Adams operations and wild Galois structure invariants. Zbl 0858.11059
Burns, D.
1
1995
On arithmetically realizable classes. Zbl 0863.11077
Burns, D.
1
1995
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
An introduction to the equivariant Tamagawa number conjecture: the relation to Stark’s conjecture. Zbl 1282.11148
Burns, David
1
2011
On Selmer groups and refined Stark conjectures. Zbl 1457.11156
Burns, David; Livingstone Boomla, Alice
1
2018
On Stark elements of arbitrary weight and their \(p\)-adic families. Zbl 1469.11458
Burns, David; Kurihara, Masato; Sano, Takamichi
1
2020
On the theory of higher rank Euler, Kolyvagin and Stark systems. Zbl 07455995
Burns, David; Sano, Takamichi
2
2021
On derivatives of \(p\)-adic \(L\)-series at \(s = 0\). Zbl 07201148
Burns, David
3
2020
On Stark elements of arbitrary weight and their \(p\)-adic families. Zbl 1469.11458
Burns, David; Kurihara, Masato; Sano, Takamichi
1
2020
On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil \(L\)-functions. Zbl 1381.11051
Burns, David; Macias Castillo, Daniel; Wuthrich, Christian
5
2018
On the Galois structure of arithmetic cohomology. III: Selmer groups of critical motives. Zbl 1452.11074
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 1457.11156
Burns, David; Livingstone Boomla, Alice
1
2018
On Iwasawa theory, zeta elements for \(\mathbb G_m\), and the equivariant Tamagawa number conjecture. Zbl 1455.11158
Burns, David; Kurihara, Masato; Sano, Takamichi
2
2017
On zeta elements for \(\mathbb G_m\). Zbl 1407.11133
Burns, David; Kurihara, Masato; Sano, Takamichi
12
2016
On main conjectures in non-commutative Iwasawa theory and related conjectures. Zbl 1322.11110
Burns, David
11
2015
On the Galois structure of Selmer groups. Zbl 1334.11043
Burns, David; Castillo, Daniel Macias; Wuthrich, Christian
5
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 special elements in higher algebraic \(K\)-theory and the Lichtenbaum-Gross conjecture. Zbl 1259.11109
Burns, David; de Jeu, Rob; Gangl, Herbert
3
2012
On Artin formalism for the conjecture of Bloch and Kato. Zbl 1368.11051
Burns, David
2
2012
On descent theory and main conjectures in non-commutative Iwasawa theory. Zbl 1213.11134
Burns, David; Venjakob, Otmar
19
2011
On derivatives of Artin \(L\)-series. Zbl 1239.11128
Burns, David
18
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
8
2011
An introduction to the equivariant Tamagawa number conjecture: the relation to Stark’s conjecture. Zbl 1282.11148
Burns, David
1
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
14
2007
On the equivariant Tamagawa number conjecture for Tate motives. II. Zbl 1156.11042
Burns, David; Flach, Matthias
7
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
5
2007
Explicit units and the equivariant Tamagawa number conjecture. II. Zbl 1155.11053
Burns, David; Hayward, Anthony
4
2007
On twisted forms and relative algebraic \(K\)-theory. Zbl 1198.11086
Agboola, A.; Burns, D.
2
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
12
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.
49
2003
Equivariant Weierstrass preparation and values of \(L\)-functions at negative integers. Zbl 1142.11371
Burns, David; Greither, Cornelius
16
2003
Equivariant epsilon constants, discriminants and étale cohomology. Zbl 1056.11071
Bley, W.; Burns, D.
15
2003
Tamagawa numbers for motives with (noncommutative) coefficients. II. Zbl 1147.11317
Burns, D.; Flach, M.
14
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.
55
2001
Equivariant Tamagawa numbers and Galois module theory. I. Zbl 1014.11070
Burns, D.
21
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
4
2000
On Galois structure invariants associated to Tate motives. Zbl 0929.11050
Burns, D.; Flach, M.
19
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.
10
1996
Adams operations and integral Hermitian-Galois representations. Zbl 0865.11076
Burns, D.; Chinburg, T.
5
1996
On arithmetical associated orders. (Über arithmetische assoziierte Ordnungen.) Zbl 0857.11063
Bley, W.; Burns, D.
4
1996
On multiplicative Galois structure invariants. Zbl 0863.11076
Burns, D.
2
1995
Adams operations and wild Galois structure invariants. Zbl 0858.11059
Burns, D.
1
1995
On arithmetically realizable classes. Zbl 0863.11077
Burns, D.
1
1995
On the Galois structure of units in number fields. Zbl 0806.11049
Burns, D.
2
1993
L-functions and Galois modules. Notes by D. Burns and N. P. Byott. Zbl 0733.11044
Cassou-Noguès, Ph.; Chinburg, T.; Fröhlich, A.; Taylor, M. J.
4
1991
Canonical factorisability and a variant of Martinet’s conjecture. Zbl 0751.11053
Burns, D. J.
3
1991
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
Factorisability, group lattices, and Galois module structure. Zbl 0734.11064
Burns, David J.
4
1990
Factorisability and the arithmetic of wildly ramified Galois extensions. Zbl 0734.11065
Burns, D. J.
1
1989
all top 5

Cited by 126 Authors

19 Burns, David John
13 Bley, Werner
12 Nickel, Andreas
10 Greither, Cornelius
7 Macias Castillo, Daniel
7 Popescu, Cristian D.
5 Johnston, Henri L. A.
5 Kurihara, Masato
5 Tan, Ki-Seng
4 Buckingham, Paul Richard
4 Flach, Matthias
4 Kakde, Mahesh
4 Kings, Guido
4 Lai, King Fai
4 Longhi, Ignazio
4 Nguyen Quang Do, Thong
4 Trihan, Fabien
4 Venjakob, Otmar
4 Witte, Malte
3 Bandini, Andrea
3 Bars Cortina, Francesc
3 Bräunling, Oliver
3 Breuning, Manuel
3 de Jeu, Rob
3 Delbourgo, Daniel
3 Gangl, Herbert
3 Kataoka, Takenori
3 Kučera, Radan
3 Lim, Meng Fai
3 Nomura, Jiro
3 Roblot, Xavier-François
3 Sands, Jonathan W.
3 Sano, Takamichi
3 Taylor, Martin J.
2 Bartel, Alex
2 Beliaeva, Tatiana
2 Belliard, Jean-Robert
2 Benois, Denis
2 Byott, Nigel P.
2 Chinburg, Ted
2 Cobbe, Alessandro
2 Fouquet, Olivier
2 Huber-Klawitter, Annette
2 Kato, Kazuya
2 Köck, Bernhard
2 Lee, Joongul
2 Morin, Baptiste
2 Navilarekallu, Tejaswi
2 Pappas, Georgios
2 Tsang, Cindy
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 Browkin, Jerzy
1 Brunault, François
1 Burungale, Ashay A.
1 Caputo, Luca
1 Cassou-Noguès, Philippe
1 Chapdelaine, Hugo
1 Coates, John H.
1 Coscelli, Edoardo
1 de Smit, Bart
1 Debeerst, Ruben
1 Dejou, Gaelle
1 Del Corso, Ilaria
1 Diamond, Fred
1 Disegni, Daniel
1 Dokchitser, Tim
1 Dubois, Isabelle
1 El Boukhari, Saad
1 Elder, Gove Griffith
1 Emmons, Caleb J.
1 Fearnley, Jack
1 Ferri, Fabio
1 Fukaya, Takako
1 Guo, Li
1 Hara, Takashi
1 Hazewinkel, Michiel
1 Henrard, Ruben
1 Huang, Po-Yi
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 Kusnezov, Dimitri
1 Lei, Antonio
1 Lombardo, Davide M.
1 Longo, Matteo
1 Mazur, Barry
1 McCulloh, Leon
...and 26 more Authors
all top 5

Cited in 56 Serials

26 Journal of Number Theory
10 Journal de Théorie des Nombres de Bordeaux
9 Journal für die Reine und Angewandte Mathematik
9 International Journal of Number Theory
7 Annales de l’Institut Fourier
7 Journal of Algebra
7 Mathematische Zeitschrift
6 Mathematics of Computation
6 Tokyo Journal of Mathematics
4 Compositio Mathematica
4 Inventiones Mathematicae
4 Mathematische Annalen
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 Selecta Mathematica. New Series
2 The Ramanujan Journal
2 Journal of the European Mathematical Society (JEMS)
2 Algebra & Number Theory
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
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 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 \(K\)-Theory
1 Publicacions Matemàtiques
1 Journal of the Ramanujan Mathematical Society
1 The New York Journal of Mathematics
1 Annals of Mathematics. Second Series
1 Journal of the Australian Mathematical Society
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Homotopy and Related Structures
1 Science China. Mathematics
1 Kyoto Journal of Mathematics
1 Forum of Mathematics, Sigma
1 Annales Mathématiques du Québec
1 Journal de l’École Polytechnique – Mathématiques

Citations by Year

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