LEADER 03562nam 22005175 450 001 9910742493603321 005 20251008160515.0 010 $a9783031316173 010 $a3031316177 024 7 $a10.1007/978-3-031-31617-3 035 $a(MiAaPQ)EBC30722827 035 $a(Au-PeEL)EBL30722827 035 $a(DE-He213)978-3-031-31617-3 035 $a(PPN)272272655 035 $a(CKB)28100239500041 035 $a(OCoLC)1396062927 035 $a(EXLCZ)9928100239500041 100 $a20230828d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNumber Theory in Memory of Eduard Wirsing /$fedited by Helmut Maier, Jörn Steuding, Rasa Steuding 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (332 pages) 311 08$aPrint version: Maier, Helmut Number Theory in Memory of Eduard Wirsing Cham : Springer International Publishing AG,c2023 9783031316166 327 $aLife and Work of Eduard Wirsing -- Remembering Eduard Wirsing -- Personal Memories -- On the Infimum of the Absolute Value of Successive Derivatives of a Real Function Defined on a Bounded Interval -- Friable Averages of Oscillating Arithmetic Functions -- Ein quaternäres Waring-Goldbach-Problem -- Coprimality of Consecutive Elements in a Piatetski-Shapiro Sequence -- Wirsing?s Elementary Proofs of the Prime Number Theorem with Remainder Terms -- Diophantine Analysis Around .[1, 2, 3, . . . ] -- On a Smoothed Average of the Number of Goldbach Representations -- Estimates for k-Dimensional Spherical Summations of Arithmetic Functions of the GCD and LCM -- The Rational Points Close to a Space Curve -- Twists by Dirichlet Characters and Polynomial Euler Products of L-Functions, II -- Solving the Iterative Differential Equation .??gt = g?1 -- Irrationality of Zeros of the Digamma Function -- Generalizations of Menon?s Arithmetic Identity -- On a Conjecture ofDescartes -- On the Greatest Common Divisor of a Number and Its Sum of Divisors, II -- Permutations with Arithmetic Constraints -- Large Subsums of the Möbius Function -- The a-Points of the Riemann Zeta-Function and the Functional Equation -- Braided Gibonacci Sequences on Residue Classes. 330 $aEduard Wirsing was an outstanding number theorist. In his research he made significant contributions to various subfields of number theory and also collaborated with other eminent scientists (e.g., with the Fields Medalist Alan Baker as well as Don Zagier). This commemorative volume includes numerous papers on current research in number theory by well-known experts, as well as some personal recollections by companions of Wirsing. The topics covered in this volume include arithmetical functions, continued fractions, elementary proofs of the prime number theorem, friable integers, the Goldbach problem, Dirichlet series, Euler products, and more. There is something for every interested reader. 606 $aNumber theory 606 $aNumber Theory 615 0$aNumber theory. 615 14$aNumber Theory. 676 $a512.7 676 $a512.7 700 $aMaier$b Helmut$0739702 701 $aSteuding$b Jö$01425265 701 $aSteuding$b Rasa$01425266 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910742493603321 996 $aNumber Theory in Memory of Eduard Wirsing$93555487 997 $aUNINA