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Novel Approach to Infinite Products Using Multiplicative Modulus\n Function

2019/12/06 by C. Ganesa Moorthy, Moorthy, C. Ganesa
Computer Science · #40A05 #FOS: Mathematics #General Mathematics (math.GM) #Numerical Methods and Algorithms

paper · pdf · doi:10.48550/arxiv.1912.03410

openalex publication_date 2019/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The usual nonnegative modulus function is based on addition. A natural\ndifferent modulus function on the set of positive reals is introduced.\nArguments for results for series through the usual modulus function are\ntransformed to arguments for results for infinite products through the new\nmodular function for multiplication. Counterparts for Riemann rearrangement\ntheorem and some tests for convergence are derived. These counterparts are\ncompletely new results and they are different from classical results for\ninfinite products.\n

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