Nonstandard Mathematics and New Zeta and L-Functions

2008/08/14 by Benjamin Clare, Clare, Benjamin
Mathematics · #03H05 #11R42 #Advanced Topology and Set Theory #FOS: Mathematics #Mathematical and Theoretical Analysis #Number Theory (math.NT) #advanced mathematical theories #math.NT #msc:03H05 #msc:11R42

paper · pdf · doi:10.48550/arxiv.0808.1965

Ph.D. Thesis, University of Nottingham, 2007, 163 pages

arxiv created 2008/08/14 · openalex publication_date 2008/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This Ph.D. thesis, prepared under the supervision of Professor Ivan Fesenko, defines new zeta functions in a nonstandard setting and their analytical properties are developed. Further, p-adic interpolation is presented within a nonstandard setting which enables the concept of interpolating with respect to two, or more, distinct primes to be defined. The final part of the dissertation examines the work of M. J. Shai Haran and makes initial attempts of viewing it from a nonstandard perspective.

Citations

• Nonstandard Etale Cohomology

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