Real solutions of PIII(0, 0, 4, −4) on ℝ> 0

Martin Guest*, Claus Hertling

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingChapter


    The real solutions (possibly with zeros and/or poles) of PIII(0, 0, 4, −4) on ℝ> 0 are by (15.10) the functions fmult(.,s,B)|>0 for (s, B) ∈ Vmat,ℝ. In this chapter we shall obtain complete results about the sequences of zeros and/or poles of these solutions. These global results will be derived by combining, first, the local behaviour for small x and for large x, and second, the geometry of the spaces M3FN,ℝ mon and M3FN,ℝ ini=M3FN,ℝ reg∪M3FN,ℝ sing, which was described in Lemma 15.4 (a) and Theorem 15.5 (a).

    Original languageEnglish
    Title of host publicationLecture Notes in Mathematics
    PublisherSpringer Verlag
    Number of pages16
    Publication statusPublished - 2017

    Publication series

    NameLecture Notes in Mathematics
    ISSN (Print)0075-8434

    ASJC Scopus subject areas

    • Algebra and Number Theory


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