This paper is devoted to the study of (Formula presented.) when a is one of 0,±1,±2. The idea builds on our previous treatment of the case a=-2. It is shown that all these functions lie in the ring of quasimodular forms. Among the more surprising findings is (Formula presented.)

Amdeberhan, T., Andrews, G.e., Tauraso, R. (2025). Further study on MacMahon-type sums of divisors. RESEARCH IN NUMBER THEORY, 11(1) [10.1007/s40993-024-00611-9].

Further study on MacMahon-type sums of divisors

Roberto Tauraso
2025-01-01

Abstract

This paper is devoted to the study of (Formula presented.) when a is one of 0,±1,±2. The idea builds on our previous treatment of the case a=-2. It is shown that all these functions lie in the ring of quasimodular forms. Among the more surprising findings is (Formula presented.)
2025
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MATH-03/A - Analisi matematica
English
Chebychev polynomials
Congruences
Divisor functions
Partitions
Amdeberhan, T., Andrews, G.e., Tauraso, R. (2025). Further study on MacMahon-type sums of divisors. RESEARCH IN NUMBER THEORY, 11(1) [10.1007/s40993-024-00611-9].
Amdeberhan, T; Andrews, Ge; Tauraso, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/445830
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