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Large prime gaps and probabilistic models
We introduce a new probabilistic model of the primes consisting of integers that survive the sieving process when a random residue class is selected...
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Interval-Valued Fuzzy Matrices
In a conventional fuzzy set, the membership value is a single point, and it is determined by the decision maker. Obviously, it is well known that...
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Prime numbers as values of nested Beatty sequences
We show that under certain conditions, nested Beatty sequences assume infinitely many prime values.
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Refinements to the prime number theorem for arithmetic progressions
We prove a version of the prime number theorem for arithmetic progressions that is uniform enough to deduce the Siegel–Walfisz theorem, Hoheisel’s...
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Additive problems with almost prime squares
We show that every sufficiently large integer is a sum of a prime and two almost prime squares, and also a sum of a smooth number and two almost...
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On Wieferich and Non-Wieferich Primes with Prime Bases
We study the matter of the density and the distribution of Wieferich and non-Wieferich primes and especially the issues related to bases that are...
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Covering sumsets of a prime field and class numbers
We study covering sumsets of a prime field based on its multiplicative structure. By develo** various sufficient analytic and algebraic criteria...
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Second-order optimality conditions for interval-valued functions
This work is included in the search of optimality conditions for solutions to the scalar interval optimization problem, both constrained and...
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On the boundary extension of map**s on Riemannian surfaces in terms of prime ends
We investigate non-homeomorphic map**s of the Riemannian surfaces of Sobolev class. Some distortion estimates have been obtained for the moduli of...
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Applying Convexificators in Nonsmooth Multiobjective Semi-infinite Fractional Interval-Valued Optimization
In this work, we explore a nonsmooth semi-infinite multiobjective fractional interval-valued optimization problem. Using an adequate constraint...
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Prime ideals and Noetherian properties in vector lattices
In this paper we study the set of prime ideals in vector lattices and how the properties of the prime ideals structure the vector lattice in...