Results 81 to 90 of about 738 (156)

The Arithmetic of Elliptic and Hyperelliptic Curves with Applications to Pairing-Based Cryptography [PDF]

, 2009
After giving an extensive treatment of the theory of algebraic curves and their connection to the theory of algebraic function fields of one variable, the thesis concentrates on pairings (such as the Tate pairing) defined on groups related to a given ...
Peter, Andreas
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On Drinfeld modules with Rasmussen-Tamagawa type conditions: a resume (Algebraic Number Theory and Related Topics 2017) [PDF]

, 2020
Algebraic Number Theory and Related Topics 2017. December 4-8, 2017. edited by Hiroshi Tsunogai, Takao Yamazaki and Yasushi Mizusawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.This is an announcement of
Okumura, Yoshiaki
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Class field theory in characteristic p, its origin and development [PDF]

, 1998
Today’s notion of “global field ” comprises number fields (algebraic, of finite degree) and function fields (algebraic, of dimension 1, finite base field). They have many similar arithmetic properties.
Peter Roquette
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Compatible systems of Galois representations of global function fields [PDF]

, 2018
Let $K$ be a finitely generated infinite field over the finite prime field $\mathbb{F}_p$ with separable closure $K^s$ and let $X$ be a smooth projective variety over $K$.
Boeckle, Gebhard
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Twisted Weyl group multiple Dirichlet series over the rational function field [PDF]

, 2017
Similar to zeta functions associated to algebraic function fields, Weyl group multiple Dirichlet series associated to algebraic function fields are rational functions in several variables.
Friedlander, Holley
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Higher derivative terms and their influence on N=2 supersymmetric systems [PDF]

, 1999
This thesis is concerned with so-called higher derivative terms which arise in low energy approximations to certain physical models. In particular, the aim is to investigate the role that such terms play in low energy N=2 supersymmetric gauge theories in
Weir, W.A., Weir, William Alexander
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Torsion Limits and Riemann-Roch Systems for Function Fields and Applications [PDF]

, 2012
The Ihara limit (or constant) A(q) has been a central problem of study in the asymptotic theory of global function fields (or equivalently, algebraic curves over finite fields).
Xing, C. (Chaoping), Cascudo, I. (Ignacio), Cascudo, Ignacio, Cramer, R.J.F. (Ronald), Cramer, Ronald, Chaoping Xing, Ronald Cramer, Xing, Chaoping, Ignacio Cascudo   +8 more
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Multiple zeta values with varying constant fields [PDF]

Multiple zeta values associated with function fields with varying constant fields are dealt with simultaneously. Thakur introduced multiple zeta values in the arithmetic of positive characteristic function fields, and the definition depends on the field ...
Matsuzuki, Daichi
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Arithmetics of number fields: partitions, norms, and quadratic forms [PDF]

In this thesis, we study arithmetic properties of number fields, especially in connection with totally positive integral elements. In Chapter 2, we introduce partitions into powers of a fixed algebraic number and examine the case when it is a quadratic ...
Zindulka, Mikuláš
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Adjoint <i>L</i>-functions, congruence ideals, and Selmer groups over GL n. [PDF]

Res Number Theory
Fong HL.
europepmc   +1 more source