Computing Class Groups of Function Fields over Finite Fields from Stark Units Ming-Deh Huang Computer Science Department University of Southern California

Source URL: www.math.uni-magdeburg.de

• Algebra
• Abstract algebra
• Ring theory
• Algebraic number theory
• Field theory
• Conjectures
• Divisor
• Euler system
• Stark conjectures
• Finite field
• BrumerStark conjecture
• Conductor

Here are known updates to the book ‘Function Field Arithmetic’. The major ones are (1) Progress towards generalization of soliton theory to general A situation: Anderson’s two-variable stark conjectures, in languag

Source URL: www.math.rochester.edu

Universit¨ at Regensburg Mathematik Equivariant Iwasawa theory and non-abelian Starck-type conjectures

Source URL: epub.uni-regensburg.de

• Conjectures
• Spectral theory
• Algebraic number theory
• Brumer–Stark conjecture
• Iwasawa theory
• Special values of L-functions
• Abstract algebra
• Algebra
• Field theory

Stark’s Conjectures by Samit Dasgupta a thesis

Source URL: people.ucsc.edu

• Algebraic number theory
• Field theory
• Conjectures
• Number theory
• Class field theory
• Brumer–Stark conjecture
• Artin L-function
• Class number formula
• Dedekind zeta function
• Abstract algebra
• Mathematics
• Algebra

Gross–Stark units, Stark–Heegner points, and class fields of real quadratic fields by Samit Dasgupta A.B. (Harvard University) 1999

Source URL: people.ucsc.edu

• Field theory
• Conjectures
• Heegner point
• Number theorists
• Elliptic curve
• Kenneth Alan Ribet
• P-adic number
• Prime number
• Zeta function
• Abstract algebra
• Mathematics
• Algebraic number theory

EQUIVARIANT L-FUNCTIONS AT s = 0 AND s = 1 by David Solomon Abstract. — For an abelian extensions of number fields, we review some basic theory and formulate the Stark Conjecture in terms of the ‘equivariant’ L-fun

Source URL: pmb.univ-fcomte.fr

• Class field theory
• Field theory
• Conjectures
• Cyclotomic fields
• Dirichlet character
• Dirichlet L-function
• Gauss sum
• Conductor
• Dedekind zeta function
• Abstract algebra
• Mathematics
• Algebraic number theory

EXPLICIT COMPUTATION OF GROSS-STARK UNITS OVER REAL QUADRATIC FIELDS BRETT A. TANGEDAL AND PAUL T. YOUNG Dedicated to the memory of David R. Hayes Abstract. We present an effective and practical algorithm for computing G

Source URL: youngp.people.cofc.edu

• Algebraic number theory
• Conjectures
• Number theory
• Brumer–Stark conjecture
• Algebraic number field
• Bernoulli number
• P-adic number
• Artin reciprocity law
• Valuation
• Abstract algebra
• Mathematics
• Field theory

THE 3x +1 PROBLEM AND DIRECTED GRAPHS Paul J. Andaloro Department of Mathematics, Kent State University, Stark Campus, North Canton, OH 44720

Source URL: www.fq.math.ca

• Number theory
• Matching
• Pólya enumeration theorem
• Szemerédi regularity lemma
• Mathematics
• Collatz conjecture
• Conjectures