I am getting immersed in The Kervaire-Milnor Formula, where each term of which connects with a different field in mathematics: "The number of differential structures on the 4k − 1-dimensional sphere is given by a quantity that is the product of three quantities: Elementary factor × “Non − J Classes” × Numerator of B2k/2k". Information read in https://people.math.harvard.edu/~mazur/papers/slides.Bartlett.pdf
My research is focused on how to connect the Turán moments and coefficients of Jensen polynomials for the entire function Xi as I have noticed some valuable results. I would like to count with more articles or information about the Bernoulli numbers visible in topics of topology which could involve the Turán moments and Jensen coefficients as well.
Thanks in advance!
Carlos
Is B2K a bug of the millennium sort of thing? is that what you're asking?
Jose Risomar Sousa thanks. No, I am asking for understanding much better the differential topology concepts involved in the Kervaire Milnor formula and if one could present a new model that involve the Turán moments or also the coefficients of Jensen polynomials as I know how to formulate the B_2k I.e., Bernoulli numbers with 2k index, in function of those other coefficients mentioned which in one my formulas of summations let’s have a curious (4K-1) that is mentioned in the 4K-1 dimension associated to the analysis of Kervaire-Miknot formula, there is a possible representation of some topological details on function of the Turán and Jensen coefficients. This is my own idea. It comes from an no published article about the Euler Mascheroni constant and Bernoulli numbers which could let me jump into this new detail in differential topology.
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