Titlebook: Number Theory in Memory of Eduard Wirsing; Helmut Maier,Jörn Steuding,Rasa Steuding Book 2023 The Editor(s) (if applicable) and The Author

hankering

Permutations with Arithmetic Constraints,.. Clearly .. We get upper and lower bounds for the counts of these sets, showing they grow geometrically. We also prove a conjecture from a recent paper on the number of “anti-coprime” permutations of ., meaning that each . except when ..

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FORGO

粗鄙的人

978-3-031-31619-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

终点

Life and Work of Eduard Wirsing,On March 22, 2022, Eduard Wirsing passed away at the age of 90 in Cologne. He was an open-minded character who contributed great ideas to mathematics with his remarkable creativity. A man and his work that we will not forget.

BULLY

On the Infimum of the Absolute Value of Successive Derivatives of a Real Function Defined on a BounA study of the greatest possible ratio of the smallest absolute value of a higher derivative of some function, defined on a bounded interval, to the .-norm of the function.

强行引入

Friable Averages of Oscillating Arithmetic Functions,We evaluate friable averages of arithmetic functions whose Dirichlet series is analytically close to some negative power of the Riemann zeta function. We obtain asymptotic expansions resembling those provided by the Selberg-Delange method in the non-friable case. An application is given to summing truncated versions of such functions.

Conquest

,Ein quaternäres Waring-Goldbach-Problem,If the Riemann hypothesis is true for all Dirichlet .-functions, then all large even natural numbers are the sum of a prime, a square of a prime and two cubes of primes.

fluoroscopy

Coprimality of Consecutive Elements in a Piatetski-Shapiro Sequence,We show that in any Piatetski-Shapiro sequence . with . in ., there exist long subsequences of consecutive elements no pair of which are coprime, whereas for any . in ., there exist infinitely many . such that all the elements in . are pairwise coprime for . almost as large as ..

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