000 02384nam a22003738i 4500
001 CR9781108178228
003 UkCbUP
005 20200124160209.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 161013s2017||||enk o ||1 0|eng|d
020 _a9781108178228 (ebook)
020 _z9781107197046 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA246
_b.B745 2017
082 0 0 _a512.7/3
_223
100 1 _aBroughan, Kevin A.
_q(Kevin Alfred),
_d1943-
_eauthor.
245 1 0 _aEquivalents of the Riemann hypothesis.
_nVolume 1,
_pArithmetic equivalents /
_cKevin Broughan.
264 1 _aCambridge :
_bCambridge University Press,
_c2017.
300 _a1 online resource
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aEncyclopedia of Mathematics and its Applications ;
_v164
500 _aTitle from publisher's bibliographic system (viewed on 10 Nov 2017).
520 _aThe Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.
650 0 _aRiemann hypothesis.
650 0 _aNumbers, Prime.
650 0 _aNumber theory.
600 1 0 _aRiemann, Bernhard,
_d1826-1866.
776 0 8 _iPrint version:
_z9781107197046
830 0 _aEncyclopedia of Mathematics and its Applications ;
_v164.
856 4 0 _uhttps://doi.org/10.1017/9781108178228
999 _c515600
_d515598