L-Functions and Automorphic Representations* R. P. Langlands Introduction. There are at least three different problems with which one is confronted in the study of L-functions: the analytic continuation and functional eq

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Research Statement: Steven J Miller November 16, 2010 My main interest is analytic number theory and random matrix theory (especially the distribution of zeros of 𝐿-functions and the eigen

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NEKST VOL. 23 NO. 4 Summer 2015 NEKST-ONLINE.NL

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• Mathematical analysis
• Complex analysis
• Mathematics
• Analytic number theory
• Bernhard Riemann
• Riemann zeta function
• Zeta
• Special functions
• Real analytic Eisenstein series
• Table of stars with Bayer designations

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• Mathematical analysis
• Mathematics
• Special functions
• Analytic number theory
• Elliptic curve
• Group theory
• Analytic functions
• Orthogonal polynomials
• Barnes G-function

Certified polynomial approximations for D-finite functions Thomas Grégoire September 5, 2012

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• Mathematical analysis
• Special functions
• Mathematics
• Analytic functions
• Exponentials
• Trigonometry
• Complex analysis
• Hyperbolic function
• Taylor series
• Trigonometric functions
• Sine
• Inverse hyperbolic function

1. Introduction 1.1. Background. L-functions and modular forms underlie much of twentieth century number theory and are connected to the practical applications of number theory in cryptography. The fundamental importance

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• Mathematics
• Mathematical analysis
• Number theory
• Conjectures
• Analytic number theory
• Modular forms
• Riemann surfaces
• Millennium Prize Problems
• Riemann hypothesis
• Elliptic curve
• Langlands program
• L-function