LEADER 00696nam0-22002651i-450 001 990002041200403321 005 20241217122405.0 035 $a000204120 100 $a20030910d1939----km-y0itay50------ba 101 0 $aeng 102 $aUS 105 $aa s 001yy 200 1 $aOf ants and men$fCaryl P. Haskins 210 $aNew York$cPrentice Hall$d1939 215 $a244 p.$d24 cm 610 0 $aImenotteri$aFormicidae 676 $a595.79$v23$zita 700 1$aHaskins,$bCaryl P.$086884 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990002041200403321 952 $aB ENT 34$b01/0034/25$fFAGBC 959 $aFAGBC 996 $aOf ants and men$9407050 997 $aUNINA LEADER 03679nam 22005295 450 001 9910300140703321 005 20250609111340.0 010 $a3-319-92777-9 024 7 $a10.1007/978-3-319-92777-0 035 $a(CKB)3850000000034693 035 $a(MiAaPQ)EBC5448145 035 $a(DE-He213)978-3-319-92777-0 035 $a(PPN)229505880 035 $a(MiAaPQ)EBC6242216 035 $a(EXLCZ)993850000000034693 100 $a20180704d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIrregularities in the Distribution of Prime Numbers $eFrom the Era of Helmut Maier's Matrix Method and Beyond /$fedited by János Pintz, Michael Th. Rassias 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (220 pages) 311 08$a3-319-92776-0 327 $aForeword (H. Maier) -- Preface -- 1. Chains of Large Gaps Between Primes (K. Ford, J. Maynard, T. Tao) -- 2. A Note on the Distrution of Primes in Intervals (T. Freiberg) -- 3. Distribution of Large Gaps Between Primes (S. Funkhouser, D.A. Goldston, A.H. Ledoan) -- 4. On the Difference in Values of the Euler Totient Function Near Prime Arguments (S.R. Garcia, F. Luca) -- 5. Vinogradov's Mean Value Theorem As an Ingredient in Polynomial Large Sieve Inequalities and Some Consequences (K. Halupczok) -- 6. Unexpected Regularities in the Behavior of Some Number-Theoretic Power Series (A.J. Hildebrand) -- 7. The Convex Hull of the Prime Number Graph (N. McNew) -- 8. Irregular Behaviour of Class Numbers and Euler-Kronecker Constants of Cyclotomic Fields: the Log Log Log Devil at Play (P. Moree) -- 9. Maier's Matrix Method and Irregularities in the Distribution of Prime Numbers (A. Raigorodskii, M.Th. Rassias) -- 10. Sums of Values of Non-Principal Characters Over Shifted Primes (R.Z. Khusenovich). 330 $aThis volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, contributions present a self-contained yet unified exploration of a rapidly progressing area. Emphasis is given to the research inspired by Maier?s matrix method, which established a newfound understanding of the distribution of primes. Additionally, the book provides an historical overview of a large body of research in analytic number theory and approximation theory. The papers published within are intended as reference tools for graduate students and researchers in mathematics. 606 $aNumber theory 606 $aFunctions of complex variables 606 $aFunctions, Special 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074 606 $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X 615 0$aNumber theory. 615 0$aFunctions of complex variables. 615 0$aFunctions, Special. 615 14$aNumber Theory. 615 24$aFunctions of a Complex Variable. 615 24$aSpecial Functions. 676 $a512.72 702 $aPintz$b János$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRassias$b Michael Th$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910300140703321 996 $aIrregularities in the Distribution of Prime Numbers$91563635 997 $aUNINA