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

A NOTE ON BELL POLYNOMIALS AND COLORED PARTITIONS

Mateus Alegri, Elen Spreafico, José Luís Bonilla

01-07
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PARTITIONS, TWO-LINE MATRICES AND T-SQUARED PARTITIONS

Hemar Godinho

08-24
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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
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A NOTE ON STIRLING NUMBERS OF FIRST KIND AND CYCLE TYPES OF A PERMUTATION

Gabriel de Freitas Pinheiro, Irene Magalhães Craveiro

35-47
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AN EXPLICIT FORMULA FOR THE STIRLING NUMBERS OF THE FIRST KIND THROUGH INTEGER PARTITIONS

Gabriel de Freitas Pinheiro, Irene Magalhães Craveiro

48-64
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ALGEBRIC AS ANALOGUES OF CERTAIN THEOREMS OCCURRING IN ELEMENTARY NUMBER THEORY

Ramakrishna Sivaramakrishnan

65-77
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MOCK THETA FUNCTIONS AS GENERATING FUNCTIONS FOR CERTAIN PLANE PARTITIONS

Elen Viviani Spreafico, Robson da Silva

78-123
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ON COMBINATORIAL IDENTITIES FOR R-GENERALIZED FIBONACCI SEQUENCES

Reginaldo Leoncio Silva, Elen Viviani Pereira Spreafico

124-135
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ON THE MERCA'S CONNECTION BETWEEN THE PARTITION FUNCTION AND EULER'S TOTIENT

Mateus Alegri, José Luís Bonilla, J. Prajapati

136-143
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