000			01670 a2200217 4500
999			_c52680 _d52680
008			200321b ||||| |||| 00| 0 eng d
020			_a9781107197046
082			_a512.7 _bBRO
100			_aBroughan, Kevin
245			_aEquivalents of the riemann hypothesis, Vol. 1, Arithmetic equivalents, Vol. 164
260			_bCambridge University Press, _c2017. _aCambridge:
300			_axxi; 325 p. _bHb.; _c25 cm.
365			_aGBP _b99.99
440			_aEncyclopedia of mathematics and its applications
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			_aMathematics
650			_aNumber
650			_aPrime
650			_aTheory
942			_2ddc _cTD