Pure and Applied Mathematics Journal

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Volume 13, Issue 4, August 2024

  • Research Article

    Sharp Coefficient Related Results for Nephroid Shaped Domain

    Dolly Jain*

    Issue: Volume 13, Issue 4, August 2024
    Pages: 51-58
    Received: 24 June 2024
    Accepted: 25 July 2024
    Published: 7 August 2024
    DOI: 10.11648/j.pamj.20241304.11
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    Abstract: In this study, the focus is on two main objectives related to starlike functions associated with a nephroid-shaped domain. Firstly, the aim is to determine sharp bounds for the coefficients of these functions up to the fifth order. These bounds are crucial as they provide a detailed understanding of the behavior of the coefficients, which is import... Show More
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  • Research Article

    The Genesis of a Theorem in the Galois Theory of p-Extensions of ℚ with Restricted Tame Ramification

    John Labute*

    Issue: Volume 13, Issue 4, August 2024
    Pages: 59-65
    Received: 26 July 2024
    Accepted: 20 August 2024
    Published: 26 August 2024
    DOI: 10.11648/j.pamj.20241304.12
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    Abstract: This article traces the genesis of a theorem that gives for the first time examples of the Galois group GS of the maximal p-extension of ℚ, unramified outside a finite set of primes not containing an odd p, that are of cohomlogical dimension 2 if the primes in S satisfy a certain linking condition. Because the ramification is tame the pro-p-group G... Show More
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