LEADER 00897nam0-22002891i-450- 001 990006545290403321 005 20001010 035 $a000654529 035 $aFED01000654529 035 $a(Aleph)000654529FED01 035 $a000654529 100 $a20001010d--------km-y0itay50------ba 101 0 $aita 105 $ay-------001yy 200 1 $aMahlen oder malen? Gleichklingende, aber verschieden geschriebene worter$fVon Wolfgang Mentrup 210 $aMannheim$cBibliographisches Institut-Duden$d1971. 215 $a191 p. 19 cm 225 1 $aDuden-taschenbucher$v13 700 1$aMentrup,$bWolfgang$0246000 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990006545290403321 952 $aCOLLEZ. 1390 (13)$b11960$fFSPBC 959 $aFSPBC 996 $aMahlen oder malen? Gleichklingende, aber verschieden geschriebene worter$9619331 997 $aUNINA DB $aGEN01 LEADER 05185nam 22006135 450 001 9910300249103321 005 20220329230616.0 010 $a3-319-22240-6 024 7 $a10.1007/978-3-319-22240-0 035 $a(CKB)3710000000515800 035 $a(EBL)4097998 035 $a(SSID)ssj0001584844 035 $a(PQKBManifestationID)16265137 035 $a(PQKBTitleCode)TC0001584844 035 $a(PQKBWorkID)14864870 035 $a(PQKB)10551991 035 $a(DE-He213)978-3-319-22240-0 035 $a(MiAaPQ)EBC4097998 035 $a(PPN)190519843 035 $a(EXLCZ)993710000000515800 100 $a20151118d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAnalytic number theory $ein honor of Helmut Maier?s 60th birthday /$fedited by Carl Pomerance, Michael Th. Rassias 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (378 p.) 300 $aDescription based upon print version of record. 311 $a3-319-22239-2 320 $aIncludes bibliographical references at the end of each chapters. 327 $aCM-Points on Straight Lines -- Maass Waveforms and Low-Lying Zeros -- Théorčme de Jordan Friable -- On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms -- Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers -- On the Parity of the Number of Small Divisors of n -- Counting Primes in Arithmetic Progressions -- Limit Points of the Sequence of Normalized Differences Between Consecutive Prime Numbers -- Spirals of the Zeta Function I -- Best Possible Densities of Dickson m-tuples, as a Consequence of Zhang-Maynard-Tao -- A Note on Helson?s Conjecture on Moments of Random Multiplicative Functions -- Large Values of the Zeta-Function on the Critical Line -- A Note on Bessel Twists of L-Functions -- The Sound of Fractal Strings and the Riemann Hypothesis -- Sums of two Squares in Short Intervals -- Infinite Sumsets with Many Representations -- On the Ratio of Consecutive Gaps Between Primes -- Remarks on Fibers of the Sum-of-Divisors Function -- On Amicable Numbers -- Trigonometric Representations of Generalized Dedekind and Hardy Sums via the Discrete Fourier Transform -- On Arithmetic Properties of Products and Shifted Products -- Narrow Progressions in the Primes. 330 $aThis volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and  trigonometric sums and their behavior in short intervals, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted prime numbers, oscillation theorems for primes in arithmetic progressions, inequalities related to the distribution of primes in short intervals, the Möbius function, Euler?s totient function, the Riemann zeta function and the Riemann Hypothesis. Graduate students, research mathematicians, as well as computer scientists and engineers who are interested in pure and interdisciplinary research, will find this volume a useful resource. Contributors to this volume: Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de la Bretčche, Christian Elsholtz, John B. Friedlander, Kevin Ford, Daniel A. Goldston, Steven M. Gonek, Andrew Granville, Adam J. Harper, Glyn Harman, D. R. Heath-Brown, Aleksandar Ivi?, Geoffrey Iyer, Jerzy Kaczorowski, Daniel M. Kane, Sergei Konyagin, Dimitris Koukoulopoulos, Michel L. Lapidus, Oleg Lazarev, Andrew H. Ledoan, Robert J. Lemke Oliver, Florian Luca, James Maynard, Steven J. Miller, Hugh L. Montgomery, Melvyn B. Nathanson, Ashkan Nikeghbali, Alberto Perelli, Amalia Pizarro-Madariaga, János Pintz, Paul Pollack, Carl Pomerance, Michael Th. Rassias, Maksym Radziwi??, Joël Rivat, András Sárközy, Jeffrey Shallit, Terence Tao, Gérald Tenenbaum, László Tóth, Tamar Ziegler, Liyang Zhang. 606 $aNumber theory 606 $aNumerical analysis 606 $aData structures (Computer science) 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aData Structures and Information Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/I15009 615 0$aNumber theory. 615 0$aNumerical analysis. 615 0$aData structures (Computer science) 615 14$aNumber Theory. 615 24$aNumerical Analysis. 615 24$aData Structures and Information Theory. 676 $a510 702 $aPomerance$b Carl$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRassias$b Michael Th$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910300249103321 996 $aAnalytic number theory$980575 997 $aUNINA