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Showing 1 to 5 of 5 for “"p-Adic Analysis"”.
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Multiplicative Orientations of K -Theory and P-Adic Analysis
… description involves producing measures on the p-adic units with certain moments. In his thesis, Ando produced a criterion for an orientation to be Hinfinity. His theorem is a condition on the induced formal group law. We connect these two classifications by producing measures of the type above …
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Existence problems of primitive polynomials over finite fields
… of the field is 2 or 3, we also use p-adic analysis. In addition to proving the previously unestablished cases of the conjecture, we also offer shorter and self-contained proof of the conjecture when the first coefficient of the polynomial is prescibed, and of some other cases where the …
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On the distribution of central values of Hecke L-functions
… L-functions.</p> <p>Using tools from p-adic analysis which are analogues of traditional archimedean techniques, we prove the <em>q</em>-aspect analogue of Heath-Brown’s result on the twelfth power moment of the Riemann zeta function for Dirichlet <em>L</em>-functions to odd prime power …
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Motivic integration over nilpotent structures
<p>This thesis concerns developing the notion of Motivic Integration in such a way that it captures infinitesimal information yet reduces to the classical notion of motivic integration for reduced schemes. Moreover, I extend the notion of Motivic Integration from a discrete valuation ring to any …
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Classifying Polynomials With Reducible Nonreciprocal Parts and the Factorization of Values of Polynomials
… where |n|<sub>p</sub> is the usual p-adic norm of n. In 1984, Stewart applied Baker's theorem to prove non-trivial, computationally effective upper bounds for [n(n + 1)···(n + k)]<sub>S</sub> for any integer k > 0. Effective upper bounds have also been given by Bennett, Filaseta, and …