Number Theory for the Millennium III
Editat de Bruce Berndt, M.A. Bennett, N. Boston, H.G. Diamond, A.J. Hildebrand, W. Phillppen Limba Engleză Hardback – 5 sep 2002
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Specificații
ISBN-13: 9781568811529
ISBN-10: 1568811527
Pagini: 458
Dimensiuni: 152 x 229 mm
Greutate: 0.75 kg
Ediția:Revised
Editura: CRC Press
Colecția A K Peters/CRC Press
Locul publicării:Boca Raton, United States
ISBN-10: 1568811527
Pagini: 458
Dimensiuni: 152 x 229 mm
Greutate: 0.75 kg
Ediția:Revised
Editura: CRC Press
Colecția A K Peters/CRC Press
Locul publicării:Boca Raton, United States
Public țintă
Academic and PostgraduateRecenzii
"The conference was one of the most important international meetings devoted to number theory . . . . Consequently the interested reader finds here not only surveys on the most important contributions to number theory and its applications, but also surveys on methods and techniques used in this important branch of mathematics." -EMS Newsletter December 2004
Cuprins
Contents of Volume III: Some remarks on primarily testing based on Lucas Functions; Splitting primes in Infinite Extensions; The ABC conjecture and prime divisors of the Lucas and Lehmer Sequences; On the parity of generalised partition functions; Quadratic twists of modular forms and elliptic curves; Identities from Holomorphic projection of modular forms; Iterative methods for pairs of additive diophantine equations; Quelques remarques sur la theore d'Iwasawa des Courbes Elliptiques; Computing Rational Points on curves; Norms of products and factors of polynomials; G.H Hatdy as I knew him; Discriminants of some painleve polynomials; Identities between Malher measures' Normal integral bases, swam modules and p-Adic L-functions; Discriminants and divisibility for Chebyseh-like polynomimals; Remarks on Adelic geometry of numbers; Some applications of Diophantine approximation; On the solutions of a family of sextic thue equations; Waring's problem: a survey; Chernoff type bounds for sums of dependent random variables and applications in additive number theory; prime divisors of the Bernoulli and Euler numbers; An improved method for solving the family of Thue equations; Constructing Hyperelliptic curves using complex multiplication; Solving the Pell equation; A central limit theorem for the Number of distinct degrees of prime factors in additive arithmetical semigroups.
Notă biografică
M. A. Bennett, B.C Berndt, N. Boston, H. G. Diamond, A. J. Hildebrand, W. Philipp
Descriere
Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field.