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Jorge L. Ramirez Alfonsin, "The Diophantine Frobenius Problem"

During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he following problem, known as the Frobenius Problem (FP): given relatively prime positive integers ia1,…,an,/i find the largest natural number (called the Frobenius number and denoted by ig(a1,…,an/i) that is not representable as a nonnegative integer combination of ia1,…,an,/i . At first glance FP may look deceptively specialized. Nevertheless it crops up again and again in the most unexpected places and has been extremely useful in investigating many different problems. A number of methods, from several areas of mathematics, have been used in the hope of finding a formula giving the Frobenius number and algorithms to calculate it. The main intention of this book is to highlight such methods, ideas, viewpoints and applications to a broader audience

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	Science/Engineering Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces
	Science/Engineering Frobenius Splitting Methods in Geometry and Representation Theory Michel Brion (Author), Shrawan Kumar, "Frobenius Splitting Methods in Geometry and Representation Theory" Birkhäuser Boston; 1 edition (December 10, 2004) \| ISBN: 0817641912 \| 250 pages \| PDF \| 1,6 MbThe theory of Frobenius splittings ...
	Science/Engineering Isomonodromic Deformations and Frobenius Manifolds: An Introduction Claude Sabbah, "Isomonodromic Deformations and Frobenius Manifolds: An Introduction" Springer \| 2007-12-19 \| ISBN: 1848000537 \| 304 pages \| PDF \| 3 MB The notion of a Frobenius structure on a complex analytic manifold appeared at the en ...
	Science/Engineering Frobenius Categories versus Brauer Blocks: The Grothendieck Group of the Frobenius Category of a Brauer Block Lluís Puig , "Frobenius Categories versus Brauer Blocks"Publisher: Birkhäuser Basel \| 2009-05-04 \| ISBN 376439997X \| PDF \| 498 pages \| 2.8 MBThis book contributes to important questions in modern representation theory of finite groups. On ...
	Random Matrices, Frobenius Eigenvalues, and Monodromy Nicholas M. Katz, Peter Sarnak, "Random Matrices, Frobenius Eigenvalues, and Monodromy" American Mathematical Society \| 1998 \| ISBN: 0821810170 \| 419 pages \| PDF \| 12,2 MB The main topic of this book is the deep relation between the spaci ...
	Mathematics Hilbert's Tenth Problem: Diophantine Classes and Extensions to Global Fields Alexandra Shlapentokh ¡°Hilbert's Tenth Problem: Diophantine Classes and Extensions to Global Fields " Cambridge University Press \| 2006-11-13 \| ISBN: 0521833604 \| 330 pages \| PDF \| 1,5 Mb In the late sixties Matiyasevich, building on ...

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