Details

Combinatorial and Additive Number Theory IV


Combinatorial and Additive Number Theory IV

CANT, New York, USA, 2019 and 2020
Springer Proceedings in Mathematics & Statistics, Band 347

von: Melvyn B. Nathanson

CHF 260.00

Verlag: Springer
Format: PDF
Veröffentl.: 12.08.2021
ISBN/EAN: 9783030679965
Sprache: englisch

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Beschreibungen

<div><div>This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020&nbsp;workshops at the City University of New York. The latter was held online due to&nbsp;the COVID-19 pandemic, and featured speakers from North and South America,&nbsp;Europe, and Asia. The 2020 Zoom conference was the largest CANT conference in&nbsp;terms of the number of both lectures and participants.</div><br></div><div>These proceedings contain 25 peer-reviewed and edited papers on current topics&nbsp;in number theory. Held every year since 2003 at the CUNY Graduate Center,&nbsp;the workshop surveys state-of-the-art open problems in combinatorial and additive&nbsp;number theory and related parts of mathematics. Topics featured in this volume&nbsp;include sumsets, zero-sum sequences, minimal complements, analytic and prime&nbsp;number theory, Hausdorff dimension, combinatorial and discrete geometry, and&nbsp;Ramsey theory. This selection of articles will be of relevance to both researchers&nbsp;and graduate students interested in current progress in number theory.</div><div><br></div>
0. Math in the Time of Covid (M.B. Nathanson).- 1. Extremal sequences for some weighted zero-sum constants for cyclic groups (S.D. Adhikari, M.I. Molla, S. Paul).- 2.&nbsp;On a zero-sum problem arising from factorization theory (A. Bashir, A. Geroldinger, Q. Zhong).- 3.&nbsp;Conditional bounds on Siegel zeros (G. Bhowmik, K. Halupczok).- 4.&nbsp;Infinite co-minimal pairs in the integers and integral lattices (A. Biswas, J.P. Saha).- 5. Rigidity, graphs, and Hausdorff dimension (N. Chatzikonstantinou, A. Iosevich, S. Mkrtchyan, J. Pakianathan).- 6.&nbsp;On generalized harmonic numbers (Y.-G. Chen, B.-L. Wu).- 7. Partitions for semi-magic squares of size three (R. Donley).- 8. A sum of negative degrees of the gaps values in two-generated numerical semigroups and identities for the Hurwitz zeta function (L.G. Fel, T. Komatsu, A.I. Suriajaya).- 9.&nbsp;Widely digitally stable numbers (M. Filaseta, J. Juillerat, J. Southwick).- 10.&nbsp;Non-injectivity of nonzero discriminant polynomials and applications to packing polynomials (K.&nbsp;Gjaldbæk).- 11.&nbsp;Representing sequence subsums as sumsets of near equal sized sets (D.J. Grynkiewicz).-&nbsp;12.&nbsp;Bounds on point configurations determined by distances and dot products (S. Gunter, E. Palsson, B. Rhodes, and S. Senger).- 13.&nbsp;Distribution of missing digits in diffsets (S. Harvey-Arnold, S.J. Miller, F. Peng).- 14. Recent progress in Hilbert cubes theory (N.&nbsp;Hegyvarı).- 15.&nbsp;Intrinsic characterization of representation functions and generalizations (C. Helou).- 16. Combinatorics of multicompositions (B. Hopkins, S. Ouvrey).- 17. A variant of the Elliott-Halberstam conjecture and the Goldbach conjecture (J.-J. Huang, H. Li).- 18.&nbsp;Part-frequency matrices, II: Recent work (W. Keith).- 19. A conjectural inequality for visible points in lattice parallelograms (G. Khan, M.R. Khan, J. Saha, P. Zhao).- 20.&nbsp;On a two-dimensional exponential sum (A. Kumchev).- 21.&nbsp;On consecutive perfect powers withelementary methods (P. Leonetti).- 22.&nbsp;Sidon sets and perturbations (M.B. Nathanson).- 23. Multiplicative representations and Ramsey's Theorem (M.B. Nathanson).- 24.&nbsp;On distinct consecutive differences (I. Ruzsa, G. Shakan, J. Solymosi, E. Szemeredi).- 25.&nbsp;Limit points of Nathanson’s lambda sequences (S. Singh).
<div><div><div>This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020&nbsp;workshops at the City University of New York. The latter was held online due to&nbsp;the COVID-19 pandemic, and featured speakers from North and South America,&nbsp;Europe, and Asia. The 2020 Zoom conference was the largest CANT conference in&nbsp;terms of the number of both lectures and participants.</div><br></div><div>These proceedings contain 25 peer-reviewed and edited papers on current topics&nbsp;in number theory. Held every year since 2003 at the CUNY Graduate Center,&nbsp;the workshop surveys state-of-the-art open problems in combinatorial and additive&nbsp;number theory and related parts of mathematics. Topics featured in this volume&nbsp;include sumsets, zero-sum sequences, minimal complements, analytic and prime&nbsp;number theory, Hausdorff dimension, combinatorial and discrete geometry, and&nbsp;Ramseytheory. This selection of articles will be of relevance to both researchers&nbsp;and graduate students interested in current progress in number theory.</div></div><div></div>
Contains latest results by experts in the field Surveys state-of-the-art open problems in combinatorial and additive number theory Features a wide variety of topics

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