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

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Estimates for ,-Dimensional Spherical Summations of Arithmetic Functions of the GCD and LCM,Let . be a fixed integer. We consider sums of type ., taken over the .-dimensional spherical region ., where . is a given function. In particular, we deduce asymptotic formulas with remainder terms for the spherical summations . and ., involving the GCD and LCM of the integers ., where . belongs to certain classes of functions.

巧辦法

The Rational Points Close to a Space Curve,We discuss methods to find some upper bound for the number of rational points . with least common denominator . which lie close to an arc of a space curve, scaled by a factor ..

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Pelago

On the Greatest Common Divisor of a Number and Its Sum of Divisors, II,Let .. We collect known results about the distribution of . and establish a new, sharp estimate for . when . grows faster than any power of . but .. Taken together, these results determine the order of magnitude of . whenever ..

Palliation

Helmut Maier,J?rn Steuding,Rasa SteudingA volume dedicated to number theorist Eduard Wirsing.A unique collection of research articles on mathematical themes dear to Eduard Wirsing.Contains contributions on the scientific life of Eduard Wirs

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誘導(dǎo)

Personal Memories,r subject. His lecture on Analytic Number Theory was in late afternoon after the “Praktikum” belonging to the physics course. After the experiment we had to perform, being a not very practical person, his lecture came to me as a liberation.

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Diophantine Analysis Around ,dified Bessel functions. In this paper our diophantine analysis around . takes its starting point with its rational convergents and deals with an asymptotic approximation formula for . and with the construction of a sequence of quadratically irrational approximations using these convergents. Finally