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Titlebook: Arithmetic and Geometry; Papers Dedicated to Michael Artin,John Tate Book 1983 Springer Science+Business Media New York 1983 Multiplicatio

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p-adic Etale Cohomology,fact, recently Ogus has used these results to apply the basic Rudakov-Shafarevich result on existence and smoothness of moduli for K3 surfaces in characteristic . to the study of the moduli space when . = 2.
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Linear Elastic Fracture Mechanics,al points of infinite order on an elliptic curve defined over a number field and the behaviour of its Hasse-Weil .-Series at the point . = 1 in the complex plane, as is predicted by the conjecture of Birch and Swinnerton-Dyer. Guided by Artin and Tate’s [15] success with the geometric analogue, most
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p-adic Etale Cohomology,lling physical reasons (viz. time, space, and distance) however, I will give here only statements of results; and my coauthors have not had the opportunity to correct any stupidities which may have slipped in. The conjectures in §3 are my own. I like to think that this research has been strongly inf
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Number Theoretic Applications of Polynomials with Rational Coefficients Defined by Extremality Condlysis. Among these classes we find orthogonal polynomials (especially classical orthogonal polynomials expressed as hypergeometric polynomials) and polynomials least deviating from zero on a given continuum (Chebicheff polynomials). Orthogonal polynomials of the first and second kind appear as denom
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