FUNCTIONAL EQUATIONS FOR THE RIEMANN ZETA FUNCTION AND DIRICHLET L-FUNCTIONS ERIC S. ROWLAND UNIVERSITY OF CALIFORNIA AT SANTA CRUZ

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Class Field Theory Anna Haensch Spring 2012 These are my own notes put together from a reading of “Class Field Theory” by N. Childress [1], along with other references, [2], [4], and [6].

Source URL: www.mathcs.duq.edu

• Class field theory
• Algebraic number theory
• Symbol
• Character theory
• Conductor
• Algebraic number field
• Gauss sum
• Dirichlet L-function
• Abstract algebra
• Algebra
• Dirichlet character

CLASSICAL AND ELLIPTIC POLYLOGARITHMS AND SPECIAL VALUES OF L-SERIES Don Zagier and Herbert Gangl1 The Dirichlet class number formula expresses the residue at s = 1 of the Dedekind zeta function ζF (s) of an arbitrary a

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The Polya-Vinogradov inequality Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 Let χ : Z → C be a primitive Dirichlet character modulo m. χ being a

Source URL: individual.utoronto.ca

• Class field theory
• Cyclotomic fields
• Dirichlet character
• Gauss sum
• Character sum
• Conductor
• Artin reciprocity law
• Modular arithmetic
• Dirichlet L-function
• Abstract algebra
• Mathematics
• Number theory

Peter Borwein, Stephen Choi, Brendan Rooney and Andrea Weirathmueller The Riemann Hypothesis For the aficionado and virtuoso alike. August 18, 2006

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• Number theory
• Conjectures
• Riemann hypothesis
• Riemann zeta function
• Prime number theorem
• Dirichlet L-function
• Zeta function
• Mertens conjecture
• Bernhard Riemann
• Mathematics
• Mathematical analysis
• Analytic number theory

On the real part of non-trivial zeros of Riemann Zeta Function 1 On the Real part of non-trivial zeros of Riemann´s Zeta function. A.M.S. (Subject Classification, 1980): 30E20, 45E05, 45M05, 12A70.

Source URL: empslocal.ex.ac.uk

• Number theory
• Riemann zeta function
• Riemann hypothesis
• Prime number theorem
• On the Number of Primes Less Than a Given Magnitude
• Dirichlet L-function
• Mathematical analysis
• Mathematics
• Analytic number theory

Zeta Functions and Associated RH Hypotheses Report on the conference in New York, 29 May — 1 JuneWhat does the extra H stand for?) M. N. Huxley 1. 2.

Source URL: empslocal.ex.ac.uk

• Analytic number theory
• Conjectures
• Hypotheses
• Riemann hypothesis
• Zeta function
• Selberg zeta function
• L-function
• Selberg class
• Dirichlet series
• Mathematical analysis
• Mathematics
• Number theory

How Euler discovered the zeta function Keith Devlin Euler’s zeta function is defined for any real number s greater than 1 by the infinite sum: 1 1

Source URL: empslocal.ex.ac.uk

• Mathematical series
• Analytic number theory
• Integer sequences
• Dirichlet L-function
• Riemann zeta function
• Euler product
• Harmonic series
• Prime number
• Leonhard Euler
• Mathematical analysis
• Mathematics
• Number theory

Recovering Short Generators of Principal Ideals in Cyclotomic Rings Ronald Cramer∗ L´eo Ducas†

Source URL: eprint.iacr.org

• Cyclotomic fields
• Conjectures
• Dirichlet character
• Gauss sum
• Dirichlet L-function
• Algebraic number field
• Root of unity
• Generalized Riemann hypothesis
• Riemann hypothesis
• Abstract algebra
• Mathematics
• Algebraic number theory

Dirichlet’s Theorem on Arithmetic Progressions Anthony V´arilly Harvard University, Cambridge, MA[removed]

Source URL: math.rice.edu

• Dirichlet L-function
• Dirichlet character
• Symbol
• Character theory
• Quadratic residue
• Cyclotomic fields
• Gauss sum
• Generalized Riemann hypothesis
• Abstract algebra
• Mathematics
• Number theory