Download or read book The Conjectures of Sands and Stark for Special Values of Abelian L functions written by Brett A. Tangedal and published by . This book was released on 1994 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stark s Conjectures Recent Work and New Directions written by David Burns and published by American Mathematical Soc.. This book was released on 2004 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stark's conjectures on the behavior of USDLUSD-functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been actively investigated. This has led to significant progress in algebraic number theory. The current volume, based on the conference held at Johns Hopkins University (Baltimore, MD), represents the state-of-the-art research in this area. The first four survey papers provide an introduction to a majority of the recent work related to themes currently under exploration in the area, such as non-abelian and USDpUSD-adic aspects of the conjectures, abelian refinements, etc. Among others, some important contributors to the volume include Harold M. Stark, John Tate, and interested in number theory.

Download or read book The Conjecture of Gross and Stark for Special Values of Abelian L series Over Totally Real Fields written by Jonathan Winslow Sands and published by . This book was released on 1982 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Number Theory written by Matti Jutila and published by Walter de Gruyter. This book was released on 2014-01-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings contain 22 refereed research and survey articles based on lectures given at the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, held in Turku, Finland, from May 31 to June 4, 1999. The subject of the symposium was number theory in a broad sense with an emphasis on recent advances and modern methods. The topics covered in this volume include various questions in elementary number theory, new developments in classical Diophantine problems - in particular of the Fermat and Catalan type, the ABC-conjecture, arithmetic algebraic geometry, elliptic curves, Diophantine approximations, Abelian fields, exponential sums, sieve methods, box splines, the Riemann zeta-function and other Dirichlet series, and the spectral theory of automorphic functions with its arithmetical applications.

Download or read book Arithmetic of L functions written by Cristian Popescu and published by American Mathematical Soc.. This book was released on with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1995 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Journal of Mathematical Sciences the University of Tokyo written by and published by . This book was released on 2003 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1994 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Acta Arithmetica written by and published by . This book was released on 2012 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Rocky Mountain Journal of Mathematics written by and published by . This book was released on 2009 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2000 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Non abelian Fundamental Groups and Iwasawa Theory written by John Coates and published by Cambridge University Press. This book was released on 2011-12-15 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the interaction between several key aspects of Galois theory based on Iwasawa theory, fundamental groups and automorphic forms. These ideas encompass a large portion of mainstream number theory and ramifications that are of interest to graduate students and researchers in number theory, algebraic geometry, topology and physics.

Download or read book On the Values of Derivatives of Dirichlet and Hasse Weil L functions written by Daniel Macias Castillo and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We study explicit consequences of the assumed validity of the Equivariant Tamagawa Number Conjecture of Burns and Flach for special values of higher-order derivatives of both Dirichlet L-functions (in the setting of Tate motives) and Hasse-Weil L-functions (in the setting of motives which arise from elliptic curves). -- In the setting of Tate motives, we discuss an explicit refinement of Rubin's integral version of Stark's Conjecture. We prove that this refinement is a consequence of the relevant case of the ETNC, thereby obtaining a full proof in several important cases. We also derive several explicit consequences of this refinement concerning the annihilation as Galois modules of ideal class groups by explicit elements constructed from the values at s = 0 of higher order derivatives of Dirichlet L-functions. We then describe the relation between our refinement and those found in recent work of Em-mons and Popescu and of Buckingham. We finally provide unconditional evidence for these refinements in certain particular cases. -- In the setting of elliptic curves, we refine and extend recent predictions of Kisilevsky and Fearnley concerning the values at s = I of the derivatives of twisted Hasse-Weil L-functions associated to an elliptic curve E defined over Q and a cyclic extension of prime-power degree K of Q. Our conjectures include explicit bounds on the denominators of the conjecturally rational elements of Fearnley and Kisilevsky, and explicit integral congruences relating these elements to a naturally constructed algebraic discriminant. We also prove that the relevant case of the ETNC implies our set of predictions.

Download or read book Journal de th orie des nombres de Bordeaux written by and published by . This book was released on 2003 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Reviews in Number Theory 1984 96 written by and published by . This book was released on 1997 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Algorithmic Number Theory written by Wieb Bosma and published by Springer Science & Business Media. This book was released on 2000-06-21 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000. The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums.