Analytic Number Theory: Essays in Honour of Klaus RothW. W. L. Chen Cambridge University Press, 19 февр. 2009 г. - Всего страниц: 491 Klaus Roth's pioneering research in the field of number theory has led to important and substantial breakthroughs in many areas, including sieve theory, diophantine approximation, and irregularities of distribution. His work on the Thue-Siegel-Roth Theorem earned him a Fields Medal in 1958 - the first British mathematician to receive the honor. Analytic Number Theory: Essays in Honour of Klaus Roth comprises 32 essays from close colleagues and leading experts in those fields in which he has worked, and provides a great insight into the historical development of the subject matter and the importance of Roth's contributions to number theory and beyond. |
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2-colouring a₁ Acta Arith affine-Dwork-regular analogue apply approximating function arbitrary argument arithmetic progressions assume asymptotic formula B₁ coefficients condition congruence conjecture constant continued fraction continued fraction expansion convergent coprime Corollary curve deduce defined degree Deligne polynomial denote density dimension diophantine approximation discrepancy anchored elements equation estimate example exists exponent exponential sums extremal sequences factor finite field follows function field Gauss sum given graph Hence HJ(n hypergraph implies inequality infinitely integer intersection irrational number irreducible irregularities of distribution K.F. Roth Klaus Roth L2 discrepancy Lemma linear forms log log London Math lower bound Mathematics mod q modulo multiplicative multivariate integration notation Number Theory obtain orthogonal points positive integer prime problem prove quadratic real number result Roth's theorem satisfying criterion Section sieve solutions subset Suppose Transference Principle upper bound values variables vector weight Z/pZ zero Σ Σ ΣΣ