José Othon Dantas Lopes

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All published works

Action	Title	Year	Authors
+	Lattices from Abelian extensions and error-correcting codes	2021	J. Carmelo Interlando Trajano Pires da Nóbrega Neto José Valter Lopes Nunes José Othon Dantas Lopes
+	On Congruences Involving Some Fibonomial Coefficients.	2019	Gérsica Freitas José Othon Dantas Lopes Diego Marques
+ PDF Chat	FOUR-DIMENSIONAL LATTICES FROM $\mathbb Q(\sqrt{2},\sqrt{5})$	2017	J. Carmelo Interlando T.P. da N'obrega Neto José Valter Lopes Nunes José Othon Dantas Lopes
+ PDF Chat	The integral trace form of cyclic extensions of odd prime degree	2017	Everton Luiz de Oliveira J. Carmelo Interlando Trajano Pires da Nóbrega Neto José Othon Dantas Lopes
+	New p-dimensional lattices from cyclic extensions	2016	José Valter Lopes Nunes J. Carmelo Interlando Trajano Pires da Nóbrega Neto José Othon Dantas Lopes
+	p-Class groups of cyclic number fields of odd prime degree	2016	José Valter Lopes Nunes J. Carmelo Interlando Trajano Pires da Nóbrega Neto José Othon Dantas Lopes
+	A note on the integral trace form in cyclotomic fields	2014	J. Carmelo Interlando Trajano Pires da Nóbrega Neto Tatiana Miguel Rodrigues José Othon Dantas Lopes
+	On a refinement of Craig’s lattices	2010	André Luiz Flores J. Carmelo Interlando Trajano Pires da Nóbrega Neto José Othon Dantas Lopes
+	ON THE MINIMUM ABSOLUTE VALUE OF THE DISCRIMINANT OF ABELIAN FIELDS OF DEGREE p<sup>2</sup>	2010	J. Carmelo Interlando José Othon Dantas Lopes Trajano Pires da Nóbrega Neto André Luiz Flores
+	On Computing Discriminants of Subfields of Q(ζpr)	2002	Trajano Pires da Nóbrega Neto J. Carmelo Interlando José Othon Dantas Lopes

Common Coauthors

Coauthor	Papers Together
J. Carmelo Interlando	9
Trajano Pires da Nóbrega Neto	8
José Valter Lopes Nunes	4
André Luiz Flores	2
Everton Luiz de Oliveira	1
Tatiana Miguel Rodrigues	1
Gérsica Freitas	1
Diego Marques	1
T.P. da N'obrega Neto	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Survey of Trace Forms of Algebraic Number Fields	1984	P. E. Conner Robert Perlis	3
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	3
+	Elementary and Analytic Theory of Algebraic Numbers	2004	Władysław Narkiewicz	3
+ PDF Chat	Elementary and Analytic Theory of Algebraic Numbers	1991	Peter Shiu Władysław Narkiewicz	3
+ PDF Chat	Algebraic lattice constellations: bounds on performance	2005	Eva Bayer‐Fluckiger Frédérique Oggier Emanuele Viterbo	2
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	2
+	Algebraic Theory of Numbers	1940	Hermann Weyl	1
+	On trace forms of algebraic number fields	1987	Winfried Scharlau	1
+	Lattices from elliptic curves over finite fields	2014	Lenny Fukshansky Hiren Maharaj	1
+	On trace forms of algebraic number fields	1993	Martin Epkenhans	1
+	A note on the least prime in an arithmetic progression	1980	Carl Pomerance	1
+	The minimum discriminant of totally real octic fields	1990	Michael Pohst Jacques Martinet Fredéric Diaz	1
+	Real Quartic Fields with Small Discriminant	1956	H. J. Godwin	1
+ PDF Chat	Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results	1990	Andrew Odlyzko	1
+ PDF Chat	The minimum discriminant of totally real algebraic number fields of degree $9$ with cubic subfields	1993	Hiroyuki Fujita	1
+	A FAMILY OF ASYMPTOTICALLY GOOD LATTICES HAVING A LATTICE IN EACH DIMENSION	2008	J. Carmelo Interlando André Luiz Flores Trajano Pires da Nóbrega Neto	1
+	The Galois structure of the trace form in extensions of odd prime degree	1988	Boas Erez	1
+	Extreme forms and cyclotomy	1978	Maurice Craig	1
+	Zur Geschlechtertheorie in abelschen Zahlkörpern	1953	Heinrich W. Leopoldt	1
+ PDF Chat	Etude Algorithmique de Réseaux Construits avec la Forme Trace	1992	Christine Bachoc Christian Batut	1
+ PDF Chat	Sur les formes quadratiques positives	1877	A. Korkine G. Zolotareff	1
+ PDF Chat	ON NUMBER FIELDS WITH EQUIVALENT INTEGRAL TRACE FORMS	2012	Guillermo Mantilla-Soler	1
+ PDF Chat	On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence	2011	Diego Marques	1
+	The minimum values of positive quadratic forms in six, seven and eight variables	1935	H. F. Blichfeldt	1
+	Tables of octic fields with a quartic subfield	1999	Henri Cohen Fredéric Diaz Michel Olivier	1
+	A new number field construction of the lattice E 8	2012	André Luiz Flores J. Carmelo Interlando Trajano Pires da Nóbrega Neto André Contiero	1
+ PDF Chat	Non-primitive number fields of degree eight and of signature (2,3), (4,2), and (6,1) with small discriminant	1999	Schehrazad Selmane	1
+	A cyclotomic construction for Leech's lattice	1978	Maurice Craig	1
+	A note on the integral trace form in cyclotomic fields	2014	J. Carmelo Interlando Trajano Pires da Nóbrega Neto Tatiana Miguel Rodrigues José Othon Dantas Lopes	1
+	Petits discriminants des corps de nombres totalement imaginaires de degré 8	1987	Fredéric Diaz	1
+ PDF Chat	The sphere packing problem in dimension $8$	2017	Maryna Viazovska	1
+	Number Theory III	1991	Serge Lang	1
+	New p-dimensional lattices from cyclic extensions	2016	José Valter Lopes Nunes J. Carmelo Interlando Trajano Pires da Nóbrega Neto José Othon Dantas Lopes	1
+ PDF Chat	Remark on the minimum discriminant of normal fields	1989	Juraj Kostra	1
+ PDF Chat	The integral trace form of cyclic extensions of odd prime degree	2017	Everton Luiz de Oliveira J. Carmelo Interlando Trajano Pires da Nóbrega Neto José Othon Dantas Lopes	1
+	Algebraic Number Theory and Fermat's Last Theorem	2001	Ian Stewart David Tall	1
+	Elementary Number Theory	1979	Henry J. Ricardo David Burton	1
+	Algebraic Number Theory	2011	R. A. Mollin	1
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	1
+ PDF Chat	The sphere packing problem in dimension $24$	2017	Henry Cohn Abhinav Kumar Stephen D. Miller Danylo Radchenko Maryna Viazovska	1
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	1
+	The ring of integers of an abelian number field.	1990	Günter Lettl	1
+ PDF Chat	Definite hermitian forms and the cancellation of simple knots	1983	Eva Bayer	1
+ PDF Chat	Imprimitive ninth-degree number fields with small discriminants	1995	Fredéric Diaz M. Olivier	1
+	Number Theory	1980	Helmut Hasse	1
+	Algebraic Number Theory	1999	Jürgen Neukirch	1
+	Unimodular hermitian and skew-hermitian forms	1982	Eva Bayer	1
+	An Introduction to the Theory of Groups	1965	Joseph Rotman	1
+	Enumeration of Totally Real Number Fields of Bounded Root Discriminant	2008	John Voight	1
+	Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.	1959	Heinrich-Wolfgang Leopoldt	1