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A Factorization of Coefficients for Exponential and Logarithm Series for Function Fields
dc.contributor.authorChung, Kwun
dc.date.accessioned2021-09-24T19:30:32Z
dc.date.available2021-09-24T19:30:32Z
dc.date.issued2021
dc.identifier.urihttps://hdl.handle.net/2027.42/170043
dc.description.abstractLet X be an elliptic curve or a ramifying hyperelliptic curve over Fq . We will discuss how to factorize the coefficients of exponential and logarithm series or a Hayes module over such a curve. This allows us to obtain v-adic convergence results for such exponential and logarithm series, for v a “finite” prime. As an application, we can show that the v-adic Goss L-value Lv (1,Psi) is log-algebraic for suitable characters Psi.
dc.language.isoen_US
dc.subjectnumber theory
dc.subjectfunction field arithmetic
dc.subjectDrinfeld modules
dc.subjectp-adic L-function
dc.titleA Factorization of Coefficients for Exponential and Logarithm Series for Function Fields
dc.typeThesis
dc.description.thesisdegreenamePhDen_US
dc.description.thesisdegreedisciplineMathematics
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studies
dc.contributor.committeememberPrasanna, Kartik
dc.contributor.committeememberCadigan, Kenneth M
dc.contributor.committeememberLagarias, Jeffrey C
dc.contributor.committeememberSnowden, Andrew
dc.contributor.committeememberZieve, Michael E
dc.subject.hlbsecondlevelMathematics
dc.subject.hlbtoplevelScience
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/170043/1/angusck_1.pdf
dc.identifier.doihttps://dx.doi.org/10.7302/3088
dc.identifier.orcid0000-0002-6772-1107
dc.identifier.name-orcidChung, Kwun; 0000-0002-6772-1107en_US
dc.working.doi10.7302/3088en
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


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