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p-adic Numbers, p-adic Analysis, and Zeta-Functions
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Padic numbers padic interpolation of the reimann zeta-function padic power series rationality of the zeta function of a set of equations over a finite field (Part contents) as discussed by the authors.Abstract:
P-adic numbers p-adic interpolation of the reimann zeta-function p-adic power series rationality of the zeta-function of a set of equations over a finite field (Part contents).read more
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Journal ArticleDOI
Adelic string amplitudes
Peter G. O. Freund,Edward Witten +1 more
TL;DR: In this article, the Veneziano and Virasoro-Shapiro four-particle scattering amplitudes can be factored in terms of an infinite product of non-archimedean string amplitudes.
Journal ArticleDOI
Non-archimedean string dynamics
TL;DR: In this article, the N-point tree amplitudes of the non-archimedean open string are derived from a simple non-local lagrangian involving a single scalar field (the tachyon) in ambient space-time.
Journal ArticleDOI
Modular and p -adic cyclic codes
TL;DR: The 2-adic generalization of both the binary Hamming code and the quaternary octacode (the latter being equivalent to the Nordstrom-Robinson code) was studied in this article.
Journal ArticleDOI
p-adic numbers in physics
Lee Brekke,Peter G. O. Freund +1 more
TL;DR: In this article, the boundary of the ordinary open string world sheet is the real line and the points on this boundary are labelled by p-adic numbers rather than real numbers, and the world sheet itself is then no longer a continous manifold but becomes a discrete homogeneous Bethe lattice.