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Vol. 9 Núm. 3 (2024): Revista Sergipana de Matemática e Educação Matemática
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Vol. 9 Núm. 3 (2024): Revista Sergipana de Matemática e Educação Matemática
Edición Especial en Honor al Prof. Plínio Santos
Publicado:
2024-10-14
Matemática
A NOTE ON BELL POLYNOMIALS AND COLORED PARTITIONS
Mateus Alegri, Elen Spreafico, José Luís Bonilla
01-07
PDF (English)
PARTITIONS, TWO-LINE MATRICES AND T-SQUARED PARTITIONS
Hemar Godinho
08-24
PDF (English)
In the work we apply the Z-transform to the recurrence of Cauchy convolution type, satisfied by several arithmetic functions, to obtain its solution in terms of the complete Bell polynomials. One of the most important arithmetic function used here is sigma1(n), the function that sum all positive divisors of n. Our main result can be applied to find a closed formula for the number of k-colored partitions, sum of triangular numbers and more.
Mateus Alegri, Juan Bulnes, Taekyun Kim, José Luís Bonilla
25-34
PDF (English)
A NOTE ON STIRLING NUMBERS OF FIRST KIND AND CYCLE TYPES OF A PERMUTATION
Gabriel de Freitas Pinheiro, Irene Magalhães Craveiro
35-47
PDF (English)
AN EXPLICIT FORMULA FOR THE STIRLING NUMBERS OF THE FIRST KIND THROUGH INTEGER PARTITIONS
Gabriel de Freitas Pinheiro, Irene Magalhães Craveiro
48-64
PDF (English)
ALGEBRIC AS ANALOGUES OF CERTAIN THEOREMS OCCURRING IN ELEMENTARY NUMBER THEORY
Ramakrishna Sivaramakrishnan
65-77
PDF (English)
MOCK THETA FUNCTIONS AS GENERATING FUNCTIONS FOR CERTAIN PLANE PARTITIONS
Elen Viviani Spreafico, Robson da Silva
78-123
PDF (English)
ON COMBINATORIAL IDENTITIES FOR R-GENERALIZED FIBONACCI SEQUENCES
Reginaldo Leoncio Silva, Elen Viviani Pereira Spreafico
124-135
PDF (English)
ON THE MERCA'S CONNECTION BETWEEN THE PARTITION FUNCTION AND EULER'S TOTIENT
Mateus Alegri, José Luís Bonilla, J. Prajapati
136-143
PDF (English)
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