000 02295nam a22004455i 4500
001 u373750
003 SIRSI
005 20160812084201.0
007 cr nn 008mamaa
008 100301s2010 gw | s |||| 0|eng d
020 _a9783642052033
_9978-3-642-05203-3
040 _cMX-MeUAM
050 4 _aQA241-247.5
082 0 4 _a512.7
_223
100 1 _aVoros, André.
_eauthor.
245 1 0 _aZeta Functions over Zeros of Zeta Functions
_h[recurso electrónico] /
_cby André Voros.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXVII, 163p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes of the Unione Matematica Italiana,
_x1862-9113 ;
_v8
520 _aThe famous zeros of the Riemann zeta function and its generalizations (L-functions, Dedekind and Selberg zeta functions) are analyzed through several zeta functions built over those zeros. These ‘second-generation’ zeta functions have surprisingly many explicit, yet largely unnoticed properties, which are surveyed here in an accessible and synthetic manner, and then compiled in numerous tables. No previous book has addressed this neglected topic in analytic number theory. Concretely, this handbook will help anyone faced with symmetric sums over zeros like Riemann’s. More generally, it aims at reviving the interest of number theorists and complex analysts toward those unfamiliar functions, on the 150th anniversary of Riemann’s work.
650 0 _aMathematics.
650 0 _aFunctions of complex variables.
650 0 _aNumber theory.
650 1 4 _aMathematics.
650 2 4 _aNumber Theory.
650 2 4 _aFunctions of a Complex Variable.
650 2 4 _aApproximations and Expansions.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642052026
830 0 _aLecture Notes of the Unione Matematica Italiana,
_x1862-9113 ;
_v8
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-05203-3
596 _a19
942 _cLIBRO_ELEC
999 _c201630
_d201630