Kiss, Sándor Z.; Sándor, Csaba Generalized asymptotic Sidon basis. (English) Zbl 07282522 Discrete Math. 344, No. 2, Article ID 112208, 6 p. (2021). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{S. Z. Kiss} and \textit{C. Sándor}, Discrete Math. 344, No. 2, Article ID 112208, 6 p. (2021; Zbl 07282522) Full Text: DOI
Nathanson, Melvyn B. Chromatic sumsets. (English) Zbl 07276952 J. Number Theory 219, 93-108 (2021). MSC: 11B05 11B13 11B34 11B75 11D07 PDF BibTeX XML Cite \textit{M. B. Nathanson}, J. Number Theory 219, 93--108 (2021; Zbl 07276952) Full Text: DOI
Jiang, Xing-Wang; Sándor, Csaba; Yang, Quan-Hui On the values of representation functions. II. (English) Zbl 07257230 J. Number Theory 218, 288-301 (2021). MSC: 11B34 11B83 PDF BibTeX XML Cite \textit{X.-W. Jiang} et al., J. Number Theory 218, 288--301 (2021; Zbl 07257230) Full Text: DOI
Serbenyuk, Symon On certain maps defined by infinite sums. (English) Zbl 07317694 J. Anal. 28, No. 4, 987-1007 (2020). MSC: 26A27 11B34 11K55 39B22 PDF BibTeX XML Cite \textit{S. Serbenyuk}, J. Anal. 28, No. 4, 987--1007 (2020; Zbl 07317694) Full Text: DOI
Nathanson, M. B. Congruence classes and maximal nonbases. (English) Zbl 07287390 Acta Math. Hung. 161, No. 2, 768-779 (2020). MSC: 11B13 11B05 11B34 11B75 11A07 PDF BibTeX XML Cite \textit{M. B. Nathanson}, Acta Math. Hung. 161, No. 2, 768--779 (2020; Zbl 07287390) Full Text: DOI
Fang, Jin-Hui On generalized perfect difference sumsets. (English) Zbl 07283559 SIAM J. Discrete Math. 34, No. 4, 2448-2456 (2020). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{J.-H. Fang}, SIAM J. Discrete Math. 34, No. 4, 2448--2456 (2020; Zbl 07283559) Full Text: DOI
Dai, Lixia; Pan, Hao An oscillation theorem on the additive representative function over \(\mathbb{N}\). (English) Zbl 07226986 J. Number Theory 216, 157-173 (2020). MSC: 11P70 11B13 11B34 PDF BibTeX XML Cite \textit{L. Dai} and \textit{H. Pan}, J. Number Theory 216, 157--173 (2020; Zbl 07226986) Full Text: DOI
Chen, Shi-Qiang; Yan, Xiao-Hui On certain properties of partitions of \(\mathbb{Z}_m\) with the same representation function. (English) Zbl 1443.05012 Discrete Math. 343, No. 9, Article ID 111981, 9 p. (2020). MSC: 05A17 11B34 PDF BibTeX XML Cite \textit{S.-Q. Chen} and \textit{X.-H. Yan}, Discrete Math. 343, No. 9, Article ID 111981, 9 p. (2020; Zbl 1443.05012) Full Text: DOI
Jiang, Xing-Wang On the values of representation functions III. (English) Zbl 07182431 Int. J. Number Theory 16, No. 3, 511-522 (2020). MSC: 11B34 11B83 PDF BibTeX XML Cite \textit{X.-W. Jiang}, Int. J. Number Theory 16, No. 3, 511--522 (2020; Zbl 07182431) Full Text: DOI
Li, Ya-Li; Ma, Wu-Xia Partitions of natural numbers with the same weighted representation functions. (English) Zbl 07146396 Colloq. Math. 159, No. 1, 1-5 (2020). MSC: 11B34 05A17 PDF BibTeX XML Cite \textit{Y.-L. Li} and \textit{W.-X. Ma}, Colloq. Math. 159, No. 1, 1--5 (2020; Zbl 07146396) Full Text: DOI
Fang, Jin-Hui; Chen, Yong-Gao On a conjecture of additive complements. (English) Zbl 07304292 Q. J. Math. 70, No. 3, 927-936 (2019). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{J.-H. Fang} and \textit{Y.-G. Chen}, Q. J. Math. 70, No. 3, 927--936 (2019; Zbl 07304292) Full Text: DOI
Helou, Charles Cyclotomic expressions for representation functions. (English) Zbl 07299821 Unif. Distrib. Theory 14, No. 1, 123-140 (2019). MSC: 11B34 11B75 11L03 11R18 PDF BibTeX XML Cite \textit{C. Helou}, Unif. Distrib. Theory 14, No. 1, 123--140 (2019; Zbl 07299821) Full Text: DOI
Liao, Qunying The computing formula for generalized Euler functions. (English) Zbl 07295884 J. Univ. Sci. Technol. China 49, No. 8, 614-619 (2019). MSC: 11B34 11B68 PDF BibTeX XML Cite \textit{Q. Liao}, J. Univ. Sci. Technol. China 49, No. 8, 614--619 (2019; Zbl 07295884) Full Text: DOI
Somashekara, D. D.; Vidya, K. N. Hurwitz type results for sums of squares and sums of triangular numbers. (English) Zbl 1435.11027 Adv. Stud. Contemp. Math., Kyungshang 29, No. 4, 577-590 (2019). MSC: 11B34 11E25 PDF BibTeX XML Cite \textit{D. D. Somashekara} and \textit{K. N. Vidya}, Adv. Stud. Contemp. Math., Kyungshang 29, No. 4, 577--590 (2019; Zbl 1435.11027) Full Text: DOI
Yan, Xiao-Hui Partitions of the set of nonnegative integers with identical representation functions. (English) Zbl 07135173 Int. J. Number Theory 15, No. 10, 1969-1975 (2019). MSC: 11B34 PDF BibTeX XML Cite \textit{X.-H. Yan}, Int. J. Number Theory 15, No. 10, 1969--1975 (2019; Zbl 07135173) Full Text: DOI
Chen, Yong-Gao; Fang, Jin-Hui Additive complements with Narkiewicz’s condition. (English) Zbl 1431.11019 Combinatorica 39, No. 4, 813-823 (2019). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{Y.-G. Chen} and \textit{J.-H. Fang}, Combinatorica 39, No. 4, 813--823 (2019; Zbl 1431.11019) Full Text: DOI
Jiang, Xing Wang On the values of representation functions. (English) Zbl 1449.11021 Acta Math. Hung. 159, No. 2, 349-357 (2019). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11B34 PDF BibTeX XML Cite \textit{X. W. Jiang}, Acta Math. Hung. 159, No. 2, 349--357 (2019; Zbl 1449.11021) Full Text: DOI
Táfula, Christian An extension of the Erdős-Tetali theorem. (English) Zbl 1439.11034 Random Struct. Algorithms 55, No. 1, 173-214 (2019). MSC: 11B13 11B34 11B75 05D05 60C05 PDF BibTeX XML Cite \textit{C. Táfula}, Random Struct. Algorithms 55, No. 1, 173--214 (2019; Zbl 1439.11034) Full Text: DOI
Yan, Xiao-Hui; Chen, Yong-Gao On the weighted sum of consecutive values of an additive representation function. (English) Zbl 1438.11026 Publ. Math. 95, No. 1-2, 115-121 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 11B34 PDF BibTeX XML Cite \textit{X.-H. Yan} and \textit{Y.-G. Chen}, Publ. Math. 95, No. 1--2, 115--121 (2019; Zbl 1438.11026) Full Text: DOI
Tang, Min; Li, Jia-Wen Note on a result of Chen and Lev. (English) Zbl 1438.11025 Period. Math. Hung. 79, No. 1, 134-140 (2019). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B34 PDF BibTeX XML Cite \textit{M. Tang} and \textit{J.-W. Li}, Period. Math. Hung. 79, No. 1, 134--140 (2019; Zbl 1438.11025) Full Text: DOI
Dai, Li-Xia; Pan, Hao On the Erdős-Fuchs theorem. (English) Zbl 1441.11264 Acta Arith. 189, No. 2, 147-163 (2019). MSC: 11P70 11B13 11B34 PDF BibTeX XML Cite \textit{L.-X. Dai} and \textit{H. Pan}, Acta Arith. 189, No. 2, 147--163 (2019; Zbl 1441.11264) Full Text: DOI
Kwon, Andrew A note on minimal additive complements of integers. (English) Zbl 1442.11022 Discrete Math. 342, No. 7, 1912-1918 (2019). Reviewer: Sandor Kiss (Budapest) MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{A. Kwon}, Discrete Math. 342, No. 7, 1912--1918 (2019; Zbl 1442.11022) Full Text: DOI
Yan, Xiao-Hui On partitions of nonnegative integers and representation functions. (English) Zbl 1435.11028 Bull. Aust. Math. Soc. 99, No. 3, 385-387 (2019). Reviewer: Sandor Kiss (Budapest) MSC: 11B34 PDF BibTeX XML Cite \textit{X.-H. Yan}, Bull. Aust. Math. Soc. 99, No. 3, 385--387 (2019; Zbl 1435.11028) Full Text: DOI
Kiss, S. Z.; Sándor, Cs. Generalizations of some results about the regularity properties of an additive representation function. (English) Zbl 1438.11024 Acta Math. Hung. 157, No. 1, 121-140 (2019). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11B34 PDF BibTeX XML Cite \textit{S. Z. Kiss} and \textit{Cs. Sándor}, Acta Math. Hung. 157, No. 1, 121--140 (2019; Zbl 1438.11024) Full Text: DOI
Chen, Shi-Qiang; Tang, Min; Yang, Quan-Hui On a problem of Chen and Lev. (English) Zbl 07000014 Bull. Aust. Math. Soc. 99, No. 1, 15-22 (2019). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{S.-Q. Chen} et al., Bull. Aust. Math. Soc. 99, No. 1, 15--22 (2019; Zbl 07000014) Full Text: DOI
Ma, Wu-Xia; Chen, Yong-Gao Representation functions on abelian groups. (English) Zbl 07000013 Bull. Aust. Math. Soc. 99, No. 1, 10-14 (2019). MSC: 11B34 PDF BibTeX XML Cite \textit{W.-X. Ma} and \textit{Y.-G. Chen}, Bull. Aust. Math. Soc. 99, No. 1, 10--14 (2019; Zbl 07000013) Full Text: DOI
Kiss, Sándor Z.; Sándor, Csaba; Yang, Quan-Hui On minimal additive complements of integers. (English) Zbl 06996035 J. Comb. Theory, Ser. A 162, 344-353 (2019). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{S. Z. Kiss} et al., J. Comb. Theory, Ser. A 162, 344--353 (2019; Zbl 06996035) Full Text: DOI arXiv
Serbenyuk, S. O. Non-differentiable functions defined in terms of classical representations of real numbers. (English) Zbl 1447.26003 J. Math. Phys. Anal. Geom. 14, No. 2, 197-213 (2018). MSC: 26A27 11B34 11K55 39B22 PDF BibTeX XML Cite \textit{S. O. Serbenyuk}, J. Math. Phys. Anal. Geom. 14, No. 2, 197--213 (2018; Zbl 1447.26003) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Jang, Lee-Chae; Dolgy, Dmitry V. Representation by Chebyshev polynomials for sums of finite products of Chebyshev polynomials. (English) Zbl 1428.33011 Symmetry 10, No. 12, Paper No. 742, 14 p. (2018). MSC: 33C05 11B34 11B83 PDF BibTeX XML Cite \textit{T. Kim} et al., Symmetry 10, No. 12, Paper No. 742, 14 p. (2018; Zbl 1428.33011) Full Text: DOI
Pollack, Paul; Treviño, Enrique Finding the four squares in Lagrange’s theorem. (English) Zbl 1441.11078 Integers 18A, Paper A15, 16 p. (2018). MSC: 11E25 11B34 11Y16 11P05 PDF BibTeX XML Cite \textit{P. Pollack} and \textit{E. Treviño}, Integers 18A, Paper A15, 16 p. (2018; Zbl 1441.11078) Full Text: Link
Tang, Min; Li, Jia-Wen On the structure of some sets which have the same representation functions. (English) Zbl 1413.11023 Period. Math. Hung. 77, No. 2, 232-236 (2018). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11B34 PDF BibTeX XML Cite \textit{M. Tang} and \textit{J.-W. Li}, Period. Math. Hung. 77, No. 2, 232--236 (2018; Zbl 1413.11023) Full Text: DOI
Xu, Wenqiang Popular differences and generalized Sidon sets. (English) Zbl 1442.11024 J. Number Theory 186, 103-120 (2018). MSC: 11B13 11B34 11B83 PDF BibTeX XML Cite \textit{W. Xu}, J. Number Theory 186, 103--120 (2018; Zbl 1442.11024) Full Text: DOI
Rué, Juanjo; Spiegel, Christoph On a problem of Sárközy and Sós for multivariate linear forms. (English) Zbl 1437.11022 Garijo, Delia (ed.) et al., Discrete mathematics days 2018. Extended abstracts of the 11th “Jornadas de matemática discreta y algorítmica” (JMDA), Sevilla, Spain, June 27–29, 2018. Amsterdam: Elsevier. Electron. Notes Discrete Math. 68, 101-106 (2018). MSC: 11B34 11B30 11B13 PDF BibTeX XML Cite \textit{J. Rué} and \textit{C. Spiegel}, Electron. Notes Discrete Math. 68, 101--106 (2018; Zbl 1437.11022) Full Text: DOI
Chen, Yong-Gao; Lv, Hui On additive representation functions. (English) Zbl 1413.11021 Publ. Math. 93, No. 1-2, 205-213 (2018). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11B34 PDF BibTeX XML Cite \textit{Y.-G. Chen} and \textit{H. Lv}, Publ. Math. 93, No. 1--2, 205--213 (2018; Zbl 1413.11021) Full Text: DOI arXiv
Chen, Yong-Gao; Ding, Yuchen The Erdős-Turán conjecture in the positive rational numbers. (English) Zbl 1407.11022 Colloq. Math. 152, No. 2, 317-323 (2018). MSC: 11B34 PDF BibTeX XML Cite \textit{Y.-G. Chen} and \textit{Y. Ding}, Colloq. Math. 152, No. 2, 317--323 (2018; Zbl 1407.11022) Full Text: DOI
Habsieger, Laurent; Plagne, Alain A numerical note on upper bounds for \(B_2[g]\) sets. (English) Zbl 1416.11016 Exp. Math. 27, No. 2, 208-214 (2018). Reviewer: Sandor Kiss (Budapest) MSC: 11B34 11B75 11P70 PDF BibTeX XML Cite \textit{L. Habsieger} and \textit{A. Plagne}, Exp. Math. 27, No. 2, 208--214 (2018; Zbl 1416.11016) Full Text: DOI
Sándor, Csaba; Yang, Quan-Hui On some properties of representation functions related to the Erdős-Turán conjecture. (English) Zbl 1436.11014 Eur. J. Comb. 71, 222-228 (2018). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{C. Sándor} and \textit{Q.-H. Yang}, Eur. J. Comb. 71, 222--228 (2018; Zbl 1436.11014) Full Text: DOI
Li, Jia-Wen; Tang, Min Partitions of the set of nonnegative integers with the same representation functions. (English) Zbl 1416.11017 Bull. Aust. Math. Soc. 97, No. 2, 200-206 (2018). MSC: 11B34 05A15 11P81 PDF BibTeX XML Cite \textit{J.-W. Li} and \textit{M. Tang}, Bull. Aust. Math. Soc. 97, No. 2, 200--206 (2018; Zbl 1416.11017) Full Text: DOI
Ling, Dengrong; Tang, Min On minimal asymptotic bases of order three. (English) Zbl 1402.11015 Colloq. Math. 151, No. 1, 9-18 (2018). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{D. Ling} and \textit{M. Tang}, Colloq. Math. 151, No. 1, 9--18 (2018; Zbl 1402.11015) Full Text: DOI
Deschamps, Bruno A topological property of certain Mills sets. (Une propriété topologique de certains ensembles de Mills.) (French) Zbl 07099377 Unif. Distrib. Theory 12, No. 1, 139-153 (2017). MSC: 11A41 11B05 11B34 PDF BibTeX XML Cite \textit{B. Deschamps}, Unif. Distrib. Theory 12, No. 1, 139--153 (2017; Zbl 07099377) Full Text: DOI
Helou, Charles Characteristic, counting, and representation functions characterized. (English) Zbl 1418.11026 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory II. CANT, New York, NY, USA, 2015 and 2016. Selected papers. Cham: Springer. Springer Proc. Math. Stat. 220, 139-155 (2017). MSC: 11B34 11B13 11B75 PDF BibTeX XML Cite \textit{C. Helou}, Springer Proc. Math. Stat. 220, 139--155 (2017; Zbl 1418.11026) Full Text: DOI
Helou, Charles Characterization of representation functions. (English) Zbl 1412.11019 Integers 17, Paper A44, 6 p. (2017). MSC: 11B34 PDF BibTeX XML Cite \textit{C. Helou}, Integers 17, Paper A44, 6 p. (2017; Zbl 1412.11019) Full Text: Link
Griffiths, Martin An implicit Zeckendorf representation. (English) Zbl 1412.11023 Integers 17, Paper A6, 13 p. (2017). MSC: 11B39 11B34 PDF BibTeX XML Cite \textit{M. Griffiths}, Integers 17, Paper A6, 13 p. (2017; Zbl 1412.11023) Full Text: Link
Sun, Zhiwei New conjectures on representations of integers. I. (English) Zbl 1413.11022 J. Nanjing Univ., Nat. Sci. 34, No. 2, 97-120 (2017). MSC: 11B34 11P05 PDF BibTeX XML Cite \textit{Z. Sun}, J. Nanjing Univ., Nat. Sci. 34, No. 2, 97--120 (2017; Zbl 1413.11022) Full Text: DOI
Tang, Min Unique representation bi-basis for rational numbers field. (English) Zbl 1399.11041 Period. Math. Hung. 74, No. 2, 250-254 (2017). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{M. Tang}, Period. Math. Hung. 74, No. 2, 250--254 (2017; Zbl 1399.11041) Full Text: DOI
Fang, Jin-Hui; Chen, Yong-Gao On infinite additive complements. (English) Zbl 1382.11014 Sci. China, Math. 60, No. 10, 1779-1790 (2017). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{J.-H. Fang} and \textit{Y.-G. Chen}, Sci. China, Math. 60, No. 10, 1779--1790 (2017; Zbl 1382.11014) Full Text: DOI
Rozgonyi, Eszter; Sándor, Csaba An extension of Nathanson’s theorem on representation functions. (English) Zbl 1399.11040 Combinatorica 37, No. 3, 521-537 (2017). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11B34 PDF BibTeX XML Cite \textit{E. Rozgonyi} and \textit{C. Sándor}, Combinatorica 37, No. 3, 521--537 (2017; Zbl 1399.11040) Full Text: DOI
Kiss, Sándor Z.; Sándor, Csaba On the multiplicativity of the linear combination of additive representation functions. (English) Zbl 06832112 Ramanujan J. 44, No. 2, 385-399 (2017). MSC: 11B34 PDF BibTeX XML Cite \textit{S. Z. Kiss} and \textit{C. Sándor}, Ramanujan J. 44, No. 2, 385--399 (2017; Zbl 06832112) Full Text: DOI
Li, Ya-Li; Chen, Yong-Gao On additive representation functions. (English) Zbl 1437.11021 Bull. Aust. Math. Soc. 96, No. 3, 380-388 (2017). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{Y.-L. Li} and \textit{Y.-G. Chen}, Bull. Aust. Math. Soc. 96, No. 3, 380--388 (2017; Zbl 1437.11021) Full Text: DOI
Sándor, Csaba; Yang, Quan-Hui A lower bound of Ruzsa’s number related to the Erdős-Turán conjecture. (English) Zbl 1425.11023 Acta Arith. 180, No. 2, 161-169 (2017). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{C. Sándor} and \textit{Q.-H. Yang}, Acta Arith. 180, No. 2, 161--169 (2017; Zbl 1425.11023) Full Text: DOI
Sburlati, Giovanni Congruences for permanents and determinants of circulants. (English) Zbl 1372.15003 Linear Algebra Appl. 531, 257-267 (2017). MSC: 15A15 11B34 11A07 11R18 PDF BibTeX XML Cite \textit{G. Sburlati}, Linear Algebra Appl. 531, 257--267 (2017; Zbl 1372.15003) Full Text: DOI
Yang, Quan-Hui; Tang, Min Representation functions on finite sets with extreme symmetric differences. (English) Zbl 1409.11008 J. Number Theory 180, 73-85 (2017). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{Q.-H. Yang} and \textit{M. Tang}, J. Number Theory 180, 73--85 (2017; Zbl 1409.11008) Full Text: DOI
Ruzsa, Imre Z. Exact additive complements. (English) Zbl 1430.11016 Q. J. Math. 68, No. 1, 227-235 (2017). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{I. Z. Ruzsa}, Q. J. Math. 68, No. 1, 227--235 (2017; Zbl 1430.11016) Full Text: DOI arXiv
Lev, Vsevolod F.; Sonn, Jack Quadratic residues and difference sets. (English) Zbl 1427.11004 Q. J. Math. 68, No. 1, 79-95 (2017). MSC: 11A15 11B13 11B34 11P70 PDF BibTeX XML Cite \textit{V. F. Lev} and \textit{J. Sonn}, Q. J. Math. 68, No. 1, 79--95 (2017; Zbl 1427.11004) Full Text: DOI arXiv
Ling, Deng-Rong A note on asymptotic nonbases. (English) Zbl 1431.11020 Bull. Aust. Math. Soc. 95, No. 1, 1-4 (2017). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{D.-R. Ling}, Bull. Aust. Math. Soc. 95, No. 1, 1--4 (2017; Zbl 1431.11020) Full Text: DOI
Berkovich, Alexander; Uncu, Ali K. Variation on a theme of Nathan Fine. New weighted partition identities. (English) Zbl 1358.05021 J. Number Theory 176, 226-248 (2017). MSC: 05A17 05A19 11B34 11B75 11P81 11P84 33D15 PDF BibTeX XML Cite \textit{A. Berkovich} and \textit{A. K. Uncu}, J. Number Theory 176, 226--248 (2017; Zbl 1358.05021) Full Text: DOI
Dai, Li-Xia; Chen, Yong-Gao On two problems of Ljujić and Nathanson. (Sur deux problèmes de Ljujić et Nathanson.) (English. French summary) Zbl 1380.11007 C. R., Math., Acad. Sci. Paris 354, No. 3, 235-238 (2016). MSC: 11B34 11A25 PDF BibTeX XML Cite \textit{L.-X. Dai} and \textit{Y.-G. Chen}, C. R., Math., Acad. Sci. Paris 354, No. 3, 235--238 (2016; Zbl 1380.11007) Full Text: DOI
Baur, Stefan Diophantine representation in thin sequences. (English) Zbl 1377.11001 Göttingen: Univ. Göttingen, Fakultät für Mathematik und Informatik (Diss.). i, 44 p. (2016). MSC: 11-02 11P05 11B83 11E76 11B34 PDF BibTeX XML Cite \textit{S. Baur}, Diophantine representation in thin sequences. Göttingen: Univ. Göttingen, Fakultät für Mathematik und Informatik (Diss.) (2016; Zbl 1377.11001) Full Text: Link
Liu, Xinyuan; Fang, Jinhui A note on additive complements. (English) Zbl 1374.11015 Adv. Math., Beijing 45, No. 4, 533-536 (2016). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{X. Liu} and \textit{J. Fang}, Adv. Math., Beijing 45, No. 4, 533--536 (2016; Zbl 1374.11015) Full Text: DOI
Lee, Gwangyeon On the generalized Binet formulas of the \(k\)-Padovan numbers. (English) Zbl 1356.05009 Far East J. Math. Sci. (FJMS) 99, No. 10, 1487-1504 (2016). MSC: 05A15 05A19 05B20 11B34 11B39 15A23 PDF BibTeX XML Cite \textit{G. Lee}, Far East J. Math. Sci. (FJMS) 99, No. 10, 1487--1504 (2016; Zbl 1356.05009) Full Text: DOI Link
Wang, Yujie A second note on a result of Haddad and Helou. (English) Zbl 1363.11019 J. Math. Res. Appl. 36, No. 3, 272-274 (2016). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{Y. Wang}, J. Math. Res. Appl. 36, No. 3, 272--274 (2016; Zbl 1363.11019) Full Text: DOI
Morales, Luis B. Packing polynomials on multidimensional integer sectors. (English) Zbl 1351.05011 Electron. J. Comb. 23, No. 4, Research Paper P4.5, 13 p. (2016). MSC: 05A05 11B34 11B75 PDF BibTeX XML Cite \textit{L. B. Morales}, Electron. J. Comb. 23, No. 4, Research Paper P4.5, 13 p. (2016; Zbl 1351.05011) Full Text: Link
Chen, Yong-Gao; Lev, Vsevolod F. Integer sets with identical representation functions. (English) Zbl 1404.11013 Integers 16, Paper A36, 4 p. (2016). MSC: 11B34 11B83 PDF BibTeX XML Cite \textit{Y.-G. Chen} and \textit{V. F. Lev}, Integers 16, Paper A36, 4 p. (2016; Zbl 1404.11013) Full Text: EMIS arXiv
Tang, Min Partitions of natural numbers and their representation functions. (Chinese. English summary) Zbl 1363.05008 Chin. Ann. Math., Ser. A 37, No. 1, 41-46 (2016). MSC: 05A17 05A18 11B34 PDF BibTeX XML Cite \textit{M. Tang}, Chin. Ann. Math., Ser. A 37, No. 1, 41--46 (2016; Zbl 1363.05008) Full Text: DOI
Tang, Min A unique representation bi-basis for the integers. II. (English) Zbl 1350.11012 Bull. Aust. Math. Soc. 94, No. 1, 1-6 (2016). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{M. Tang}, Bull. Aust. Math. Soc. 94, No. 1, 1--6 (2016; Zbl 1350.11012) Full Text: DOI
Berkovich, Alexander; Uncu, Ali Kemal On partitions with fixed number of even-indexed and odd-indexed odd parts. (English) Zbl 1337.05007 J. Number Theory 167, 7-30 (2016). MSC: 05A15 05A17 05A19 11B34 11B37 11B75 11P81 11P83 33D15 PDF BibTeX XML Cite \textit{A. Berkovich} and \textit{A. K. Uncu}, J. Number Theory 167, 7--30 (2016; Zbl 1337.05007) Full Text: DOI arXiv
Kiss, Sándor Z.; Sándor, Csaba On the maximum values of the additive representation functions. (English) Zbl 1415.11023 Int. J. Number Theory 12, No. 4, 1055-1075 (2016). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{S. Z. Kiss} and \textit{C. Sándor}, Int. J. Number Theory 12, No. 4, 1055--1075 (2016; Zbl 1415.11023) Full Text: DOI arXiv
Anders, Katie Odd behavior in the coefficients of reciprocals of binary power series. (English) Zbl 1346.11008 Int. J. Number Theory 12, No. 3, 635-648 (2016). Reviewer: Stephan Wagner (Stellenbosch) MSC: 11A63 11B50 11B34 11T06 PDF BibTeX XML Cite \textit{K. Anders}, Int. J. Number Theory 12, No. 3, 635--648 (2016; Zbl 1346.11008) Full Text: DOI
Chen, Yong-Gao; Tang, Min On a generalization of a theorem of Sárközy and Sós. (English) Zbl 1366.11014 Eur. J. Comb. 54, 201-206 (2016). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{Y.-G. Chen} and \textit{M. Tang}, Eur. J. Comb. 54, 201--206 (2016; Zbl 1366.11014) Full Text: DOI
Qu, Zhenhua A note on representation functions with different weights. (English) Zbl 1366.11021 Colloq. Math. 143, No. 1, 105-112 (2016). Reviewer: Guoqing Wang (Tianjin) MSC: 11B34 05A17 11P81 PDF BibTeX XML Cite \textit{Z. Qu}, Colloq. Math. 143, No. 1, 105--112 (2016; Zbl 1366.11021) Full Text: DOI
Andrica, Dorin; Ionascu, Eugen J. The signum equation for Erdős-Surányi sequences. (English) Zbl 1379.11011 Integers 15A, Paper A01, 9 p. (2015). MSC: 11B34 11D85 11B39 PDF BibTeX XML Cite \textit{D. Andrica} and \textit{E. J. Ionascu}, Integers 15A, Paper A01, 9 p. (2015; Zbl 1379.11011) Full Text: EMIS
Sargsyan, Vage G. Asymptotics of the logarithm of the number of \((k, l)\)-sum-free sets in an abelian group. (English. Russian original) Zbl 1367.11030 Discrete Math. Appl. 25, No. 2, 93-99 (2015); translation from Diskretn. Mat. 26, No. 4, 91-99 (2014). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11B75 11B34 05A16 PDF BibTeX XML Cite \textit{V. G. Sargsyan}, Discrete Math. Appl. 25, No. 2, 93--99 (2015; Zbl 1367.11030); translation from Diskretn. Mat. 26, No. 4, 91--99 (2014) Full Text: DOI
Sargsyan, V. G. Counting sumsets and differences in an abelian group. (Russian, English) Zbl 1349.11052 Diskretn. Anal. Issled. Oper. 22, No. 2, 73-85 (2015); translation in J. Appl. Ind. Math. 9, No. 2, 275-282 (2015). MSC: 11B75 20K01 20D60 11B34 PDF BibTeX XML Cite \textit{V. G. Sargsyan}, Diskretn. Anal. Issled. Oper. 22, No. 2, 73--85 (2015; Zbl 1349.11052); translation in J. Appl. Ind. Math. 9, No. 2, 275--282 (2015) Full Text: DOI
Wang, Yujie; Tang, Min Weighted representation asymptotic basis of integers. (English) Zbl 1349.11016 J. Math. Res. Appl. 35, No. 6, 701-705 (2015). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{M. Tang}, J. Math. Res. Appl. 35, No. 6, 701--705 (2015; Zbl 1349.11016) Full Text: DOI
Nathanson, Melvyn B. Infinite sumsets with many representations. (English) Zbl 1395.11027 Pomerance, Carl (ed.) et al., Analytic number theory. In honor of Helmut Maier’s 60th birthday. Cham: Springer (ISBN 978-3-319-22239-4/hbk; 978-3-319-22240-0/ebook). 275-283 (2015). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{M. B. Nathanson}, in: Analytic number theory. In honor of Helmut Maier's 60th birthday. Cham: Springer. 275--283 (2015; Zbl 1395.11027) Full Text: DOI arXiv
Fuller, Chris; Nichols, Robert H. jun. Generalized anti-Waring numbers. (English) Zbl 1334.11079 J. Integer Seq. 18, No. 10, Article 15.10.5, 14 p. (2015). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11B34 PDF BibTeX XML Cite \textit{C. Fuller} and \textit{R. H. Nichols jun.}, J. Integer Seq. 18, No. 10, Article 15.10.5, 14 p. (2015; Zbl 1334.11079) Full Text: EMIS
Berkovich, Alexander; Uncu, Ali Kemal A new companion to Capparelli’s identities. (English) Zbl 1322.05016 Adv. Appl. Math. 71, 125-137 (2015). MSC: 05A17 05A19 05A20 11B34 11B37 11P83 11P81 PDF BibTeX XML Cite \textit{A. Berkovich} and \textit{A. K. Uncu}, Adv. Appl. Math. 71, 125--137 (2015; Zbl 1322.05016) Full Text: DOI arXiv
Qu, Zhenhua On a partition problem of finite abelian groups. (English) Zbl 1395.11029 Bull. Aust. Math. Soc. 92, No. 1, 24-31 (2015). Reviewer: Sandor Kiss (Budapest) MSC: 11B34 20K01 PDF BibTeX XML Cite \textit{Z. Qu}, Bull. Aust. Math. Soc. 92, No. 1, 24--31 (2015; Zbl 1395.11029) Full Text: DOI
Balasubramanian, R.; Giri, Sumit On additive representation functions. (English) Zbl 1390.11030 Int. J. Number Theory 11, No. 4, 1165-1176 (2015). Reviewer: Guoqing Wang (Tianjin) MSC: 11B34 11P70 PDF BibTeX XML Cite \textit{R. Balasubramanian} and \textit{S. Giri}, Int. J. Number Theory 11, No. 4, 1165--1176 (2015; Zbl 1390.11030) Full Text: DOI arXiv
Chen, Yong-Gao; Fang, Jin-Hui On a conjecture of Sárközy and Szemerédi. (English) Zbl 1370.11017 Acta Arith. 169, No. 1, 47-58 (2015). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{Y.-G. Chen} and \textit{J.-H. Fang}, Acta Arith. 169, No. 1, 47--58 (2015; Zbl 1370.11017) Full Text: DOI
Hürlimann, Werner Exact and asymptotic evaluation of the number of distinct primitive cuboids. (English) Zbl 1310.11039 J. Integer Seq. 18, No. 2, Article 15.2.5, 9 p. (2015). MSC: 11D45 11N37 11A25 11B34 PDF BibTeX XML Cite \textit{W. Hürlimann}, J. Integer Seq. 18, No. 2, Article 15.2.5, 9 p. (2015; Zbl 1310.11039) Full Text: EMIS
Tang, Min On the Erdős-Turán conjecture. (English) Zbl 1366.11017 J. Number Theory 150, 74-80 (2015). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{M. Tang}, J. Number Theory 150, 74--80 (2015; Zbl 1366.11017) Full Text: DOI
Qu, Zhenhua On the nonvanishing of representation functions of some special sequences. (English) Zbl 1308.11011 Discrete Math. 338, No. 4, 571-575 (2015). Reviewer: Guoqing Wang (Tianjin) MSC: 11B34 11B83 PDF BibTeX XML Cite \textit{Z. Qu}, Discrete Math. 338, No. 4, 571--575 (2015; Zbl 1308.11011) Full Text: DOI
Dubickas, Artūras On the supremum of the representation function of a sumset. (English) Zbl 1357.11014 Quaest. Math. 37, No. 1, 1-8 (2014). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{A. Dubickas}, Quaest. Math. 37, No. 1, 1--8 (2014; Zbl 1357.11014) Full Text: DOI
Qu, Zhenhua A remark on weighted representation functions. (English) Zbl 1357.11015 Taiwanese J. Math. 18, No. 6, 1713-1719 (2014). MSC: 11B34 20K01 11B75 PDF BibTeX XML Cite \textit{Z. Qu}, Taiwanese J. Math. 18, No. 6, 1713--1719 (2014; Zbl 1357.11015) Full Text: DOI
Yang, Quan-Hui; Chen, Yong-Gao Erratum of: Weighted representation functions on \(\mathbb{Z}_m\). (English) Zbl 1357.11016 Taiwanese J. Math. 18, No. 4, 1329 (2014). MSC: 11B34 11L03 PDF BibTeX XML Cite \textit{Q.-H. Yang} and \textit{Y.-G. Chen}, Taiwanese J. Math. 18, No. 4, 1329 (2014; Zbl 1357.11016) Full Text: DOI
Haddad, L.; Helou, C. Lower and upper classes of natural numbers. (English) Zbl 1371.11033 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory. Selected papers based on the presentations at the conferences CANT 2011 and 2012, New York, NY, USA, May 2011 and May 2012. New York, NY: Springer (ISBN 978-1-4939-1600-9/hbk; 978-1-4939-1601-6/ebook). Springer Proceedings in Mathematics & Statistics 101, 43-53 (2014). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{L. Haddad} and \textit{C. Helou}, in: Combinatorial and additive number theory. Selected papers based on the presentations at the conferences CANT 2011 and 2012, New York, NY, USA, May 2011 and May 2012. New York, NY: Springer. 43--53 (2014; Zbl 1371.11033) Full Text: DOI
Tang, Min Some properties of additive representation functions. (Chinese. English summary) Zbl 1324.11011 Acta Math. Sin., Chin. Ser. 57, No. 3, 601-606 (2014). MSC: 11B34 PDF BibTeX XML Cite \textit{M. Tang}, Acta Math. Sin., Chin. Ser. 57, No. 3, 601--606 (2014; Zbl 1324.11011)
Kiss, Sándor Z.; Rozgonyi, Eszter; Sándor, Csaba Groups, partitions and representation functions. (English) Zbl 1362.11015 Publ. Math. 85, No. 3-4, 425-433 (2014). MSC: 11B34 PDF BibTeX XML Cite \textit{S. Z. Kiss} et al., Publ. Math. 85, No. 3--4, 425--433 (2014; Zbl 1362.11015) Full Text: DOI
Grekos, Georges; Haddad, Labib; Helou, Charles; Pihko, Jukka On the general Erdős-Turán conjecture. (English) Zbl 1309.11011 Int. J. Comb. 2014, Article ID 826141, 11 p. (2014). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{G. Grekos} et al., Int. J. Comb. 2014, Article ID 826141, 11 p. (2014; Zbl 1309.11011) Full Text: DOI
Kiss, Sándor Z.; Rozgonyi, Eszter; Sándor, Csaba On Sidon sets which are asymptotic bases of order \(4\). (English) Zbl 1353.11016 Funct. Approximatio, Comment. Math. 51, No. 2, 393-413 (2014). MSC: 11B13 11B34 11B75 PDF BibTeX XML Cite \textit{S. Z. Kiss} et al., Funct. Approximatio, Comment. Math. 51, No. 2, 393--413 (2014; Zbl 1353.11016) Full Text: DOI Euclid arXiv
Habsieger, Laurent On finite additive \(2\)-bases. (English) Zbl 1375.11009 Trans. Am. Math. Soc. 366, No. 12, 6629-6646 (2014). MSC: 11B13 11B34 PDF BibTeX XML Cite \textit{L. Habsieger}, Trans. Am. Math. Soc. 366, No. 12, 6629--6646 (2014; Zbl 1375.11009) Full Text: DOI
Xiong, Ran Unique weighted representation basis of integers. (English) Zbl 1313.11033 J. Math. Res. Appl. 34, No. 3, 332-336 (2014). MSC: 11B34 11B13 PDF BibTeX XML Cite \textit{R. Xiong}, J. Math. Res. Appl. 34, No. 3, 332--336 (2014; Zbl 1313.11033) Full Text: DOI
Yang, Quan-Hui Representation functions with different weights. (English) Zbl 1346.11011 Colloq. Math. 137, No. 1, 1-6 (2014). MSC: 11B34 05A17 11P81 PDF BibTeX XML Cite \textit{Q.-H. Yang}, Colloq. Math. 137, No. 1, 1--6 (2014; Zbl 1346.11011) Full Text: DOI
Qu, Zhenhua Partitions of \(\mathbb Z_m\) with the same weighted representation functions. (English) Zbl 1305.11011 Electron. J. Comb. 21, No. 2, Research Paper P2.55, 7 p. (2014). MSC: 11B34 05A15 05A17 PDF BibTeX XML Cite \textit{Z. Qu}, Electron. J. Comb. 21, No. 2, Research Paper P2.55, 7 p. (2014; Zbl 1305.11011) Full Text: Link
Dai, Li-Xia; Pan, Hao Inverse Erdős-Fuchs theorem for \(k\)-fold sumsets. (English) Zbl 1372.11011 J. Number Theory 140, 1-12 (2014). Reviewer: Olaf Ninnemann (Berlin) MSC: 11B34 11P70 PDF BibTeX XML Cite \textit{L.-X. Dai} and \textit{H. Pan}, J. Number Theory 140, 1--12 (2014; Zbl 1372.11011) Full Text: DOI
Nathanson, M. B. Growth polynomials for additive quadruples and \((h,k)\)-tuples. (English) Zbl 1324.11009 Acta Math. Hung. 143, No. 1, 44-57 (2014). Reviewer: Takao Komatsu (Wuhan) MSC: 11B30 11B34 11P70 05A15 05A17 PDF BibTeX XML Cite \textit{M. B. Nathanson}, Acta Math. Hung. 143, No. 1, 44--57 (2014; Zbl 1324.11009) Full Text: DOI
Tang, Min On a generalization of the Erdös-Fuchs theorem. (English) Zbl 1292.11029 Int. J. Number Theory 10, No. 4, 955-961 (2014). MSC: 11B34 PDF BibTeX XML Cite \textit{M. Tang}, Int. J. Number Theory 10, No. 4, 955--961 (2014; Zbl 1292.11029) Full Text: DOI
Jung, Soon-Mo; Popa, Dorian; Rassias, Michael On the stability of the linear functional equation in a single variable on complete metric groups. (English) Zbl 1295.33004 J. Glob. Optim. 59, No. 1, 165-171 (2014). MSC: 33B15 11B34 41A30 39B22 PDF BibTeX XML Cite \textit{S.-M. Jung} et al., J. Glob. Optim. 59, No. 1, 165--171 (2014; Zbl 1295.33004) Full Text: DOI arXiv
Nathanson, Melvyn B. Cantor polynomials for semigroup sectors. (English) Zbl 1290.05010 J. Algebra Appl. 13, No. 5, Article ID 1350165, 14 p. (2014). MSC: 05A15 11B34 11B75 03D15 03D20 PDF BibTeX XML Cite \textit{M. B. Nathanson}, J. Algebra Appl. 13, No. 5, Article ID 1350165, 14 p. (2014; Zbl 1290.05010) Full Text: DOI arXiv