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Название: Function Field Arithmetic
Автор: Thakur D.S.
Assuming knowledge of algebraic number theory and geometry, this text develops the basic concepts of Drinfeld modules, explicit class field theory, and the algebraic incarnations of gamma and zeta values. Thakur (University of Arizona) examines related special functions on the product of curves which govern the arithmetic of gamma, zeta values, theta functions, and Gauss sums, and provides examples of special value results. The final sections deal with higher dimension generalizations of Drinfeld modules and their application to the arithmetic objects previously discussed.