Nonstandard Mathematics and New Zeta and L-Functions

Details Nonstandard Mathematics and New Zeta and L-Functions Nonstandard Mathematics and New Zeta and L-Functions

2008-08-14

arxiv.org/abs/0808.1965v1

Mathematics

Number Theory

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

Scientific paper

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.

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