# Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)

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**CONTENTS**

Section 1

Fonda Alessandro, Mezzetti Emilia, Omari Pierpaolo

Talamo Rodolfo

1. The roundness-measure of a natural number

Scomparin Mattia

2. Nonlocal constants of motion and first integrals in higher-order Lagrangian Dynamics

Farooq Asma, Maset Stefano

Ho Kwok-pun

4. Fractional integral operators on Borel-Morrey spaces with q ≤ p

Alzer Horst, Kwong Man Kam

5. Some inequalities for the Riemann zeta function

Appell Jürgen, López Brito Belén, Reinwand Simon, Schöller Kilian

6. Some remarks on substitution and composition operators

Bush Kaliaj Sokol

7. Indefinite Pettis integral of multifunctions in locally convex spaces

Appell Jürgen, López Brito Belén, Reinwand Simon, Schöller Kilian

8. Corrigendum to ""Some remarks on substitution and composition operators""

Artigiani Mauro

9. Octagonal continued fraction and diagonal changes

Ciccoli Nicola

10. Quantum orbit method for the Connes-Landi-Matsumoto 3-sphere

Ooi Keng Hao

11. Vector-valued Sobolev multiplier spaces and their preduals

Morassi Antonino, Rosset Edi, Sincich Eva, Vessella Sergio

Marušić-paloka Eduardo, Prša Marija

Freitas Mirelson M., Ramos J. A. Anderson, Santos Mauro L., Rodrigues Helen C. M.

Zimmermann Bruno P.

15. A note on the Nielsen realization problem for connected sums of S² X S¹

Villari Gabriele, Zanolin Fabio

16.Remarks on a class of generalized Liénard planar systems

Galuppi Francesco, Stanojkovski Mima

17. Toric varieties from cyclic matrix semigroups

Bhoi Khisan, Ray Prasanta Kumar

18. Perrin numbers expressible as sums of two base b repdigits

Gori Anna, Vlacci Fabio

19. A note on the Bieberbach conjecture for some classes of slice regular functions

Section 2

Düntsch Ivo, Orłowska Ewa

20. Discrete dualities for groupoids

Sgarro Andrea, Franzoi Laura

21. Possibility distribution calculus and the arithmetic of fuzzy numbers

Rizzi Romeu, Tomescu Alexandru I.

22. Random generation of essential directed acyclic graphs

Cristiá Massimiliano, Rossi Gianfranco

23. {log}: Set formulas as programs

Dovier Agostino, Formisano Andrea, Pontelli Enrico, Tardivo Fabio

24. {CUDA}: Set constraints on GPUs

Costantini Stefania

25. Epistemic logics for modeling group dynamics of cooperative agents, and aspects of Theory of Mind

Cantone Domenico, Policriti Alberto

26. Squeezing multisets into real numbers

Doberkat Ernst-erich

27. Congruences for stochastic automata

Cantone Domenico, Omodeo Eugenio G.

28. “One equation to rule them all”, revisited

Benci Vieri