Titlebook: Combinatorial and Additive Number Theory IV; CANT, New York, USA, Melvyn B. Nathanson Conference proceedings 2021 The Editor(s) (if applica

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漫不经心

On the Connection Between the Goldbach Conjecture and the Elliott-Halberstam Conjecture,-Halberstam conjecture and a variant of the Elliott-Halberstam conjecture twisted by the Möbius function, provided that the sum of their level of distributions exceeds 1. This continues the work of Pan [.]. An analogous result for the twin prime conjecture is obtained by Ram Murty and Vatwani [.].

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流浪

Vytautas Štuikys,Renata BurbaitėWe study a zero-sum problem dealing with minimal zero-sum sequences of maximal length over finite abelian groups. A positive answer to this problem yields a structural description of sets of lengths with maximal elasticity in transfer Krull monoids over finite abelian groups.

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Vytautas Štuikys,Renata BurbaitėWe present an overview of bounds on zeros of .-functions and obtain some improvements under weak conjectures related to the Goldbach problem.

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邪恶的你

Gulshan Soni,Selvaradjou KandasamyWe show that there are infinitely many composite numbers ., relatively prime to 10, that remain composite if you insert any digit anywhere in its base 10 representation, including between two of the infinitely many leading zeros of . and to the right of the units digit of ..

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Hansa Lysander Manohar,T. Reuban Gnana AsirWe show that an integer-valued quadratic polynomial on . can not be injective on the integer lattice points of any affine convex cone if its discriminant is nonzero. A consequence is the non-existence of quadratic packing polynomials on irrational sectors of ..

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https://doi.org/10.1007/978-3-642-27638-5In 1978 Nathanson obtained several results on sumsets contained in infinite sets of integers. Later the author investigated how big a Hilbert cube avoiding a given infinite sequence of integers can be. In the present paper we concentrate on . .. The aim is to collect some results in the past and some related recent problems.

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