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Godinho, H. ; SANTOS, J. P. . On a new formula for the number of unrestricted partitions. The Ramanujan Journal , v. 55, p. 297-307, 2021.
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Godinho, H. ; Neumann, V. G. L. . THE DIOPHANTINE EQUATION x^2 + p^aq^b = y^ q. International Journal of Number Theory , v. 17, p. 2113-2130, 2021.
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Godinho, H. ; KNAPP, M. . Infinitely many counterexamples to a conjecture of Norton. MICHIGAN MATHEMATICAL JOURNAL , v. 69, p. 533-543, 2020.
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SANTOS, J. P. ; Godinho, H. . On new formulas for the Rogers-Ramanujan Identities. JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS & MATHEMATICAL SCIENCES , v. 7, p. 33-46, 2020.
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Godinho, H. ; SANTOS, J. P. . A family of partitions equinumeorus with the set of nodes of a family of trees. Integers , v. 20, p. 1-22, 2020.
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Godinho, H. ; KNAPP, M. ; RODRIGUES, P. H. A. ; VERAS, D. . On the values of $\Gamma^*(k,p)$ and $\Gamma^*(k)$. ACTA ARITHMETICA , v. 191, p. 67-80, 2019.
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Godinho, H. ; LEMOS, A. ; OLIVEIRA, F. A. . Weighted EGZ-Constant for p-groups of rank 2. International Journal of Number Theory , v. 15, p. 2163-2177, 2019.
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Godinho, H. ; VENTURA, L. L. . Pairs of Diagonal forms of degree 3^{\tau}.2 and Artins Conjecture. JOURNAL OF NUMBER THEORY , v. 177, p. 211-247, 2017.
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Godinho, H. ; TOGBE, A. ; MARQUES, D. . 'On the Diophantine Equation x^2 + C = y n , for C = 2^a 3^b 17^c and C = 2^a 13^b 17^c. Mathematica Slovaca , v. 66, p. 1-10, 2016.
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Godinho, H. ; TOGBE, A. ; Porto, T. . On the Diophantine equation $v(v+1)=u(u+a)(u+2a)$. Acta Mathematica Hungarica (Print) , v. 143, p. 249-268, 2014.
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Godinho, H. ; LEMOS, A. ; MARQUES, D. . Weighted zero-sum problems over C^{r}_{3}. Algebra and Discrete Mathematics , v. 15, p. 201-212, 2013.
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Godinho, H. ; RODRIGUES, P. H. A. ; KNAPP, M. . Pairs of Additive Sextic Forms. Journal of Number Theory (Print) , v. 133, p. 176-194, 2013.
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Godinho, H. ; T. C. Souza Neto . Pairs of additive form of degree p^m(p-1). Functiones et Approximatio Commentarii Mathematici , v. 48, p. 197-211, 2013.
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Godinho, H. ; MARQUES, D. ; TOGBE, A. . On the Diophantine Equation $x^2 + 2^ 5^17^ = y^n$. COMMUNICATIONS IN MATHEMATICS. , v. 20, p. 81-88, 2012.
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Godinho, H. ; T. C. Souza Neto . Pairs of additive forms of degrees $2.3^\tau$ and $4.5^\tau$. Journal of Combinatorics and Number Theory , v. 03, p. 87-102, 2011.
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Godinho, H. ; GOMES, O. R. . Addition of sets via symmetric polynomials - a polynomial method. European Journal of Combinatorics (Print) , v. 31, p. 1243-1256, 2010.
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Godinho, H. ; RODRIGUES, P. H. A. ; BRINK, D. . Simultaneous diagonal equations over P-adic. ACTA ARITHMETICA , v. 132.4, p. 393-399, 2008.
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Godinho, H. ; Dias da Silva, J. A. . Generalized derivations and additive theory II. Linear Algebra and its Applications , v. 420, p. 117-123, 2007.
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Godinho, H. ; RODRIGUES, P. H. A. . On p-adic zeros of systems of diagonal forms restricted by a congruence condition. Journal de Théorie des Nombres de Bordeaux , v. 19, p. 205, 2007.
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Godinho, H. ; RODRIGUES, P. H. A. . Conditions for the solvability of systems of two and three additive forms over p-adic fields. Proceedings of the London Mathematical Society (Print) , Londres, Inglaterra, v. 91, n.03, p. 545-572, 2005.
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Godinho, H. ; RODRIGUES, P. H. A. ; LIMA NETO, J. F. . On Pairs of additive congruences of odd degree. JP Journal of Algebra, Number Theory and Applications , India, v. 4(1), p. 55-78, 2004.
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Godinho, H. ; Dias da Silva, J. A. . Critical Polynomials related with generalized derivations. Linear Algebra and its Applications , Estados Unidos, v. 370, p. 315-339, 2003.
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Godinho, H. ; Dias da Silva, J. A. . Generalized derivations and additive theory. Linear Algebra and its Applications , Estados Unidos, v. 342, p. 1-15, 2002.
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Godinho, H. ; Brudern, J. . On Artin's Conjecture, II: Pairs of additive forms. Proceedings of the London Mathematical Society (Print) , Inglaterra, v. 84, n.03, p. 513-538, 2002.
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Godinho, H. . Linear algebraic techniques in additive theory and a generalization of the Cauchy-Davenport theorem. MATEMATICA CONTEMPORANEA , v. 21, p. 105-115, 2001.
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Godinho, H. ; C. Ripoll . Pairs of additive forms and Artin's conjecture. Acta Arithmetica , POLONIA, v. 90, n.3, p. 203-216, 1999.
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Godinho, H. . Artin's conjecture I: systems of additive forms. Bulletin of the London Mathematical Society (Print) , INGLATERRA, v. 31, p. 305-313, 1999.
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Godinho, H. . On p-adic zeros of additive forms of even degree. Journal of Number Theory (Print) , ESTADOS UNIDOS, v. 68, p. 1-20, 1998.
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Godinho, H. . New results on additive forms of even degree. Matemática Contemporânea , BRASIL, v. 14, p. 1-22, 1998.
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Godinho, H. . Additive forms of degree 2^{m}. Journal of Number Theory (Print) , ESTADOS UNIDOS, v. 46, n.3, p. 391-408, 1994.
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SHOKRANIAN, S. ; SOARES, M. ; Godinho, H. . Teoria dos Números - Segunda Edição, Revista (1a. Edição 1994). Brasilia: Editora Universidade de Brasília, 1999. v. 1. 325p .
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Godinho, H. ; SOARES, M. . Funções-Zeta clássicas e Modernas. In: XV escola de Álgebra, 1999, Canela -RS. Atas da XV Escola de Álgebra, 1998. v. 02.
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Godinho, H. . The Circle Method. In: XIII ESCOLA DE ALGEBRA, 1994. ATAS DA XIII ESCOLA DE ALGEBRA.
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Godinho, H. ; KNAPP, M. ; MIRANDA, B. P. . Diagonal Forms over Quadratic extensions of $\mathbb{Q}_{2}$. PUBLICATIONES MATHEMATICAE-DEBRECEN , 2022.
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Godinho, H. . Zeros de Polinómios módulo m.
Lisboa:
Textos de Matemática, vol. 16, Matemática Radical, Universidade de Lisboa, pag. 61-66, 2002 (Artigo de Divulgacao).
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Godinho, H. . Polinômios Homogêneos sobre Números p-Ádicos.
Lisboa:
Textos e Notas de Matemática da Universidade de Lisboa, 2000 (Artigo de Divulgacao).
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Godinho, H. . Formas de Grau Elevado - metodos p-adicos.
Brasilia:
Trabalhos de Matematica - Matematica/UNB, 1996 (Artigo de Divulgacao).