LEADER 04688nam 22007335 450 001 9910254305103321 005 20200629164316.0 010 $a3-319-59969-0 024 7 $a10.1007/978-3-319-59969-4 035 $a(CKB)4100000000586884 035 $a(DE-He213)978-3-319-59969-4 035 $a(MiAaPQ)EBC5044333 035 $a(PPN)204536219 035 $a(EXLCZ)994100000000586884 100 $a20170911d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aExploring the Riemann Zeta Function $e190 years from Riemann's Birth /$fedited by Hugh Montgomery, Ashkan Nikeghbali, Michael Th. Rassias 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (X, 298 p. 7 illus., 5 illus. in color.) 311 $a3-319-59968-2 320 $aIncludes bibliographical references. 327 $aPreface (Dyson) -- 1. An introduction to Riemann's life, his mathematics, and his work on the zeta function (R. Baker) -- 2. Ramanujan's formula for zeta (2n+1) (B.C. Berndt, A. Straub) -- 3. Towards a fractal cohomology: Spectra of Polya-Hilbert operators, regularized determinants, and Riemann zeros (T. Cobler, M.L. Lapidus) -- The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec) -- 4. The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec) -- 5. Arthur's truncated Eisenstein series for SL(2,Z) and the Riemann Zeta Function, A Survey (D. Goldfield) -- 6. On a Cubic moment of Hardy's function with a shift (A. Ivic) -- 7. Some analogues of pair correlation of Zeta Zeros (Y. Karabulut, C.Y. Y?ld?r?m) -- 8. Bagchi's Theorem for families of automorphic forms (E. Kowalski) -- 9. The Liouville function and the Riemann hypothesis (M.J. Mossinghoff, T.S. Trudgian) -- 10. Explorations in the theory of partition zeta functions (K. Ono, L. Rolen, R. Schneider) -- 11. Reading Riemann (S.J. Patterson) -- 12. A Taniyama product for the Riemann zeta function (D.E. Rohrlich??). 330 $aThis book is concerned with the Riemann Zeta Function, its generalizations, and various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis and Probability Theory. Eminent experts in the field illustrate both old and new results towards the solution of long-standing problems and include key historical remarks. Offering a unified, self-contained treatment of broad and deep areas of research, this book will be an excellent tool for researchers and graduate students working in Mathematics, Mathematical Physics, Engineering and Cryptography. 606 $aNumber theory 606 $aAlgebraic geometry 606 $aFunctions of complex variables 606 $aDynamics 606 $aErgodic theory 606 $aDifference equations 606 $aFunctional equations 606 $aHarmonic analysis 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015 615 0$aNumber theory. 615 0$aAlgebraic geometry. 615 0$aFunctions of complex variables. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aHarmonic analysis. 615 14$aNumber Theory. 615 24$aAlgebraic Geometry. 615 24$aFunctions of a Complex Variable. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aDifference and Functional Equations. 615 24$aAbstract Harmonic Analysis. 676 $a512.7 702 $aMontgomery$b Hugh$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aNikeghbali$b Ashkan$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRassias$b Michael Th$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910254305103321 996 $aExploring the Riemann Zeta Function$91562403 997 $aUNINA