Hanson, Brandon Long regularly-spaced and convex sequences in dense sets of integers. (English) Zbl 07313974 J. Comb. Theory, Ser. A 180, Article ID 105393, 16 p. (2021). MSC: 11K 11B 11P PDF BibTeX XML Cite \textit{B. Hanson}, J. Comb. Theory, Ser. A 180, Article ID 105393, 16 p. (2021; Zbl 07313974) Full Text: DOI
Spiegelhofer, Lukas The level of distribution of the Thue-Morse sequence. (English) Zbl 07308575 Compos. Math. 156, No. 12, 2560-2587 (2021). MSC: 11N69 11B25 11B85 11A63 11K16 11B83 PDF BibTeX XML Cite \textit{L. Spiegelhofer}, Compos. Math. 156, No. 12, 2560--2587 (2021; Zbl 07308575) Full Text: DOI
Sun, Alec Zero-sum subsequences in bounded-sum \(\{-r,s\}\)-sequences. (English) Zbl 07304869 J. Comb. Theory, Ser. A 179, Article ID 105385, 34 p. (2021). MSC: 11B PDF BibTeX XML Cite \textit{A. Sun}, J. Comb. Theory, Ser. A 179, Article ID 105385, 34 p. (2021; Zbl 07304869) Full Text: DOI
Huang, Huichi Discrete quantum subgroup asymptotically fixing a sequence of finite subsets. (English) Zbl 07299377 J. Geom. Phys. 159, Article ID 103900, 13 p. (2021). MSC: 46L65 37A30 37A45 11B25 PDF BibTeX XML Cite \textit{H. Huang}, J. Geom. Phys. 159, Article ID 103900, 13 p. (2021; Zbl 07299377) Full Text: DOI
Shparlinski, Igor E. Geometric progressions in vector sumsets over finite fields. (English) Zbl 07312729 Finite Fields Appl. 68, Article ID 101747, 10 p. (2020). MSC: 11B30 11T23 11T30 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Finite Fields Appl. 68, Article ID 101747, 10 p. (2020; Zbl 07312729) Full Text: DOI
Topal, Selçuk; Çevik, Ahmet Natural density and the quantifier “most”. (English) Zbl 07311968 J. Logic Lang. Inf. 29, No. 4, 511-523 (2020). MSC: 03B65 03C80 11B05 PDF BibTeX XML Cite \textit{S. Topal} and \textit{A. Çevik}, J. Logic Lang. Inf. 29, No. 4, 511--523 (2020; Zbl 07311968) Full Text: DOI
Begunts, Aleksandr Vladimirovich; Goryashin, Dmitriĭ Viktorovich On the values of Beatty sequence in an arithmetic progression. (Russian. English summary) Zbl 07310050 Chebyshevskiĭ Sb. 21, No. 1(73), 343-346 (2020). MSC: 11N37 11B25 11B83 PDF BibTeX XML Cite \textit{A. V. Begunts} and \textit{D. V. Goryashin}, Chebyshevskiĭ Sb. 21, No. 1(73), 343--346 (2020; Zbl 07310050) Full Text: DOI MNR
Darreye, Corentin Sign of Fourier coefficients of half-integral weight modular forms in arithmetic progressions. (English) Zbl 07304533 Res. Number Theory 6, No. 4, Paper No. 46, 24 p. (2020). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F30 PDF BibTeX XML Cite \textit{C. Darreye}, Res. Number Theory 6, No. 4, Paper No. 46, 24 p. (2020; Zbl 07304533) Full Text: DOI
Gowers, W. T. A uniform set with fewer than expected arithmetic progressions of length 4. (English) Zbl 07301144 Acta Math. Hung. 161, No. 2, 756-767 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 11B30 PDF BibTeX XML Cite \textit{W. T. Gowers}, Acta Math. Hung. 161, No. 2, 756--767 (2020; Zbl 07301144) Full Text: DOI
Pach, J.; Tomon, I. Colorings with only rainbow arithmetic progressions. (English) Zbl 07301135 Acta Math. Hung. 161, No. 2, 507-515 (2020). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 11B25 05C70 PDF BibTeX XML Cite \textit{J. Pach} and \textit{I. Tomon}, Acta Math. Hung. 161, No. 2, 507--515 (2020; Zbl 07301135) Full Text: DOI
Tao, T. Szemerédi’s proof of Szemerédi’s theorem. (English) Zbl 07301134 Acta Math. Hung. 161, No. 2, 443-487 (2020). MSC: 11B25 05D10 PDF BibTeX XML Cite \textit{T. Tao}, Acta Math. Hung. 161, No. 2, 443--487 (2020; Zbl 07301134) Full Text: DOI
Malakhovskiĭ, V. S. About finding of prime numbers that follow after given prime number without using computer. (Russian. English summary) Zbl 07293284 Differ. Geom. Mnogoobr. Figur 51, 81-85 (2020). MSC: 11 05 PDF BibTeX XML Cite \textit{V. S. Malakhovskiĭ}, Differ. Geom. Mnogoobr. Figur 51, 81--85 (2020; Zbl 07293284) Full Text: DOI
Lee, Junghun; Sourmelidis, Athanasios; Steuding, Jörn; Suriajaya, Ade Irma The values of the Riemann zeta-function on discrete sets. (English) Zbl 07283190 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-088-4/hbk). Advanced Studies in Pure Mathematics 84, 315-334 (2020). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 PDF BibTeX XML Cite \textit{J. Lee} et al., Adv. Stud. Pure Math. 84, 315--334 (2020; Zbl 07283190) Full Text: DOI Euclid
Luo, Xiangyan; Tian, Ze’an; Xie, Quan A method of fast magic square arrangement and its proof. (Chinese. English summary) Zbl 07267348 Math. Pract. Theory 50, No. 2, 270-277 (2020). MSC: 05B15 PDF BibTeX XML Cite \textit{X. Luo} et al., Math. Pract. Theory 50, No. 2, 270--277 (2020; Zbl 07267348)
Kourbatov, Alexei; Wolf, Marek On the first occurrences of gaps between primes in a residue class. (English) Zbl 1444.11191 J. Integer Seq. 23, No. 9, Article 20.9.3, 24 p. (2020). MSC: 11N05 11N56 11N64 PDF BibTeX XML Cite \textit{A. Kourbatov} and \textit{M. Wolf}, J. Integer Seq. 23, No. 9, Article 20.9.3, 24 p. (2020; Zbl 1444.11191) Full Text: Link
Balister, P.; Bollobás, B.; Morris, R.; Sahasrabudhe, J.; Tiba, M. Covering intervals with arithmetic progressions. (English) Zbl 07254842 Acta Math. Hung. 161, No. 1, 197-200 (2020). Reviewer: Gennady Bachman (Las Vegas) MSC: 11A07 11B25 PDF BibTeX XML Cite \textit{P. Balister} et al., Acta Math. Hung. 161, No. 1, 197--200 (2020; Zbl 07254842) Full Text: DOI
Benali, Julian; Cobb, Harris; Johnson, Peter An enumeration problem arising from a result about arithmetic progressions. (English) Zbl 1444.05009 Int. J. Math. Comput. Sci. 15, No. 2, 525-532 (2020). MSC: 05A15 05A16 05C65 05C69 PDF BibTeX XML Cite \textit{J. Benali} et al., Int. J. Math. Comput. Sci. 15, No. 2, 525--532 (2020; Zbl 1444.05009) Full Text: Link
Lü, Guangshi; Wang, Dan Shifted convolution sums of Fourier coefficients with squarefull kernel functions. (English) Zbl 1441.11095 Lith. Math. J. 60, No. 1, 51-63 (2020). MSC: 11F30 11F66 PDF BibTeX XML Cite \textit{G. Lü} and \textit{D. Wang}, Lith. Math. J. 60, No. 1, 51--63 (2020; Zbl 1441.11095) Full Text: DOI
Chu, Hùng Việt When the large divisors of a natural number are in arithmetic progression. (English) Zbl 07212807 J. Integer Seq. 23, No. 6, Article 20.6.1, 7 p. (2020). MSC: 11B25 PDF BibTeX XML Cite \textit{H. V. Chu}, J. Integer Seq. 23, No. 6, Article 20.6.1, 7 p. (2020; Zbl 07212807) Full Text: Link
Grynkiewicz, David J. A single set improvement to the \(3k - 4\) theorem. (English) Zbl 07206999 J. Number Theory 214, 360-381 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P70 11B13 11B75 PDF BibTeX XML Cite \textit{D. J. Grynkiewicz}, J. Number Theory 214, 360--381 (2020; Zbl 07206999) Full Text: DOI
Huicochea, Mario On the number of popular differences in \(\mathbb{Z} / p \mathbb{Z} \). (English) Zbl 07206992 J. Number Theory 214, 202-239 (2020). MSC: 11B75 11B25 PDF BibTeX XML Cite \textit{M. Huicochea}, J. Number Theory 214, 202--239 (2020; Zbl 07206992) Full Text: DOI
Badr, Eslam; Sadek, Mohammad On quadratic progression sequences on smooth plane curves. (English) Zbl 1435.14030 J. Number Theory 213, 445-452 (2020). Reviewer: Maciej Ulas (Kraków) MSC: 14H50 11B25 14G05 PDF BibTeX XML Cite \textit{E. Badr} and \textit{M. Sadek}, J. Number Theory 213, 445--452 (2020; Zbl 1435.14030) Full Text: DOI
Wright, Thomas A conditional density for Carmichael numbers. (English) Zbl 07201229 Bull. Aust. Math. Soc. 101, No. 3, 379-388 (2020). MSC: 11A51 11N13 PDF BibTeX XML Cite \textit{T. Wright}, Bull. Aust. Math. Soc. 101, No. 3, 379--388 (2020; Zbl 07201229) Full Text: DOI
Liu, Jianya; Wu, Jie; Xi, Ping Primes in arithmetic progressions with friable indices. (English) Zbl 07175983 Sci. China, Math. 63, No. 1, 23-38 (2020). MSC: 11N05 11N13 11N25 11N36 PDF BibTeX XML Cite \textit{J. Liu} et al., Sci. China, Math. 63, No. 1, 23--38 (2020; Zbl 07175983) Full Text: DOI
Kerr, Bryce; Shparlinski, Igor E. Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions. (English) Zbl 07173285 Res. Number Theory 6, No. 1, Paper No. 16, 21 p. (2020). MSC: 11N37 11L07 PDF BibTeX XML Cite \textit{B. Kerr} and \textit{I. E. Shparlinski}, Res. Number Theory 6, No. 1, Paper No. 16, 21 p. (2020; Zbl 07173285) Full Text: DOI
Spiegelhofer, Lukas; Stoll, Thomas The sum-of-digits function on arithmetic progressions. (English) Zbl 07171954 Mosc. J. Comb. Number Theory 9, No. 1, 43-49 (2020). MSC: 11A63 11B25 PDF BibTeX XML Cite \textit{L. Spiegelhofer} and \textit{T. Stoll}, Mosc. J. Comb. Number Theory 9, No. 1, 43--49 (2020; Zbl 07171954) Full Text: DOI
Sedunova, Alisa A logarithmic improvement in the Bombieri-Vinogradov theorem. (English. French summary) Zbl 07246531 J. Théor. Nombres Bordx. 31, No. 3, 635-651 (2019). Reviewer: Lajos Hajdu (Debrecen) MSC: 11N13 11N37 11N60 PDF BibTeX XML Cite \textit{A. Sedunova}, J. Théor. Nombres Bordx. 31, No. 3, 635--651 (2019; Zbl 07246531) Full Text: DOI
Kolmakov, Evgeny; Beklemishev, Lev Axiomatization of provable \(n\)-provability. (English) Zbl 1444.03165 J. Symb. Log. 84, No. 2, 849-869 (2019). Reviewer: Roger Villemaire (Montréal) MSC: 03F30 03F25 03F40 03F45 PDF BibTeX XML Cite \textit{E. Kolmakov} and \textit{L. Beklemishev}, J. Symb. Log. 84, No. 2, 849--869 (2019; Zbl 1444.03165) Full Text: DOI
Liu, Huaning; Qi, Yuchan Gowers norm and pseudorandom measures of subsets. (Chinese. English summary) Zbl 1449.11080 Adv. Math., Beijing 48, No. 4, 399-418 (2019). MSC: 11K38 11K45 11B25 11Z05 PDF BibTeX XML Cite \textit{H. Liu} and \textit{Y. Qi}, Adv. Math., Beijing 48, No. 4, 399--418 (2019; Zbl 1449.11080) Full Text: DOI
Barhoumi-Andréani, Yacine; Koch, Christoph; Liu, Hong Bivariate fluctuations for the number of arithmetic progressions in random sets. (English) Zbl 1428.60022 Electron. J. Probab. 24, Paper No. 145, 32 p. (2019). MSC: 60C05 11B25 05C80 60F05 PDF BibTeX XML Cite \textit{Y. Barhoumi-Andréani} et al., Electron. J. Probab. 24, Paper No. 145, 32 p. (2019; Zbl 1428.60022) Full Text: DOI Euclid arXiv
Xi, Lifeng; Jiang, Kan; Pei, Qiyang Arithmetic progressions in self-similar sets. (English) Zbl 07142660 Front. Math. China 14, No. 5, 957-966 (2019). MSC: 28A80 28A78 11A63 11B25 PDF BibTeX XML Cite \textit{L. Xi} et al., Front. Math. China 14, No. 5, 957--966 (2019; Zbl 07142660) Full Text: DOI
Moree, Pieter; Sha, Min Primes in arithmetic progressions and nonprimitive roots. (English) Zbl 07133745 Bull. Aust. Math. Soc. 100, No. 3, 388-394 (2019). MSC: 11N13 11N69 PDF BibTeX XML Cite \textit{P. Moree} and \textit{M. Sha}, Bull. Aust. Math. Soc. 100, No. 3, 388--394 (2019; Zbl 07133745) Full Text: DOI arXiv
Downarowicz, Tomasz; Serafin, Jacek Almost full entropy subshifts uncorrelated to the Möbius function. (English) Zbl 1436.37009 Int. Math. Res. Not. 2019, No. 11, 3459-3472 (2019). MSC: 37A44 37B51 11A25 PDF BibTeX XML Cite \textit{T. Downarowicz} and \textit{J. Serafin}, Int. Math. Res. Not. 2019, No. 11, 3459--3472 (2019; Zbl 1436.37009) Full Text: DOI arXiv
Currie, James; Harju, Tero; Ochem, Pascal; Rampersad, Narad Some further results on squarefree arithmetic progressions in infinite words. (English) Zbl 1436.68276 Theor. Comput. Sci. 799, 140-148 (2019). MSC: 68R15 11B85 PDF BibTeX XML Cite \textit{J. Currie} et al., Theor. Comput. Sci. 799, 140--148 (2019; Zbl 1436.68276) Full Text: DOI arXiv
Vatwani, Akshaa Variants of equidistribution in arithmetic progression and the twin prime conjecture. (English) Zbl 07106131 Math. Z. 293, No. 1-2, 285-317 (2019). MSC: 11N37 11N13 PDF BibTeX XML Cite \textit{A. Vatwani}, Math. Z. 293, No. 1--2, 285--317 (2019; Zbl 07106131) Full Text: DOI
Sun, Yu-Chen; Pan, Hao The Green-Tao theorem for primes of the form \(x^2+y^2+1\). (English) Zbl 1431.11022 Monatsh. Math. 189, No. 4, 715-733 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B25 11B30 11N32 11P32 11N36 PDF BibTeX XML Cite \textit{Y.-C. Sun} and \textit{H. Pan}, Monatsh. Math. 189, No. 4, 715--733 (2019; Zbl 1431.11022) Full Text: DOI arXiv
Kačinskaitė, Roma; Matsumoto, Kohji On mixed joint discrete universality for a class of zeta-functions. II. (English) Zbl 07082068 Lith. Math. J. 59, No. 1, 54-66 (2019). MSC: 11M06 11M41 11M35 PDF BibTeX XML Cite \textit{R. Kačinskaitė} and \textit{K. Matsumoto}, Lith. Math. J. 59, No. 1, 54--66 (2019; Zbl 07082068) Full Text: DOI
Tang, Min; Wang, Wenhui Some remarks on sumsets and restricted sumsets. (English) Zbl 07081013 Bull. Korean Math. Soc. 56, No. 3, 667-673 (2019). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11B13 PDF BibTeX XML Cite \textit{M. Tang} and \textit{W. Wang}, Bull. Korean Math. Soc. 56, No. 3, 667--673 (2019; Zbl 07081013) Full Text: DOI
Ford, Kevin; Harper, Adam J.; Lamzouri, Youness Extreme biases in prime number races with many contestants. (English) Zbl 1451.11102 Math. Ann. 374, No. 1-2, 517-551 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11N13 11K99 11M26 PDF BibTeX XML Cite \textit{K. Ford} et al., Math. Ann. 374, No. 1--2, 517--551 (2019; Zbl 1451.11102) Full Text: DOI arXiv
Roy, Bidisha; Sarkar, Subha Regularity of certain Diophantine equations. (English) Zbl 1412.11058 Proc. Indian Acad. Sci., Math. Sci. 129, No. 2, Paper No. 19, 8 p. (2019). MSC: 11D04 11D72 05D10 11B25 11B30 PDF BibTeX XML Cite \textit{B. Roy} and \textit{S. Sarkar}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 2, Paper No. 19, 8 p. (2019; Zbl 1412.11058) Full Text: DOI
Adhikari, S. D.; Boza, L.; Eliahou, S.; Revuelta, M. P.; Sanz, M. I. Numerical semigroups of Szemerédi type. (English) Zbl 1442.11025 Discrete Appl. Math. 263, 8-13 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B25 11D07 PDF BibTeX XML Cite \textit{S. D. Adhikari} et al., Discrete Appl. Math. 263, 8--13 (2019; Zbl 1442.11025) Full Text: DOI
Feng, Y. L.; Hong, S. F.; Jiang, X.; Yin, Q. Y. A generalization of a theorem of Nagell. (English) Zbl 1438.11124 Acta Math. Hung. 157, No. 2, 522-536 (2019). Reviewer: Mihály Szalay (Budapest) MSC: 11N13 11B25 11B83 11B75 PDF BibTeX XML Cite \textit{Y. L. Feng} et al., Acta Math. Hung. 157, No. 2, 522--536 (2019; Zbl 1438.11124) Full Text: DOI
Chen, Yong-Gao; Li, Ya-Li On a problem of Erdös, Nathanson and Sárközy. (English) Zbl 07055457 J. Number Theory 201, 135-147 (2019). MSC: 11B13 11B25 PDF BibTeX XML Cite \textit{Y.-G. Chen} and \textit{Y.-L. Li}, J. Number Theory 201, 135--147 (2019; Zbl 07055457) Full Text: DOI
Dunn, Alexander; Zaharescu, Alexandru Sums of Kloosterman sums over primes in an arithmetic progression. (English) Zbl 07054442 Q. J. Math. 70, No. 1, 319-342 (2019). Reviewer: Huaning Liu (Xi’an) MSC: 11L05 11N13 PDF BibTeX XML Cite \textit{A. Dunn} and \textit{A. Zaharescu}, Q. J. Math. 70, No. 1, 319--342 (2019; Zbl 07054442) Full Text: DOI arXiv
Harju, Tero On square-free arithmetic progressions in infinite words. (English) Zbl 1423.68372 Theor. Comput. Sci. 770, 95-100 (2019). Reviewer: Mikhail Volkov (Ekaterinburg) MSC: 68R15 PDF BibTeX XML Cite \textit{T. Harju}, Theor. Comput. Sci. 770, 95--100 (2019; Zbl 1423.68372) Full Text: DOI
Lafont, J.-F.; McReynolds, D. B. Primitive geodesic lengths and (almost) arithmetic progressions. (English) Zbl 1415.53026 Publ. Mat., Barc. 63, No. 1, 183-218 (2019). Reviewer: Benjamin McKay (Cork) MSC: 53C22 PDF BibTeX XML Cite \textit{J. F. Lafont} and \textit{D. B. McReynolds}, Publ. Mat., Barc. 63, No. 1, 183--218 (2019; Zbl 1415.53026) Full Text: DOI Euclid
Saito, Kota; Yoshida, Yuuya Arithmetic progressions in the graphs of slightly curved sequences. (English) Zbl 1407.11018 J. Integer Seq. 22, No. 2, Article 19.2.1, 25 p. (2019). MSC: 11B25 11B30 PDF BibTeX XML Cite \textit{K. Saito} and \textit{Y. Yoshida}, J. Integer Seq. 22, No. 2, Article 19.2.1, 25 p. (2019; Zbl 1407.11018) Full Text: Link arXiv
Dumitrescu, Adrian Distinct distances and arithmetic progressions. (English) Zbl 1405.05184 Discrete Appl. Math. 256, 38-41 (2019). MSC: 05D10 PDF BibTeX XML Cite \textit{A. Dumitrescu}, Discrete Appl. Math. 256, 38--41 (2019; Zbl 1405.05184) Full Text: DOI
Malakhovsky, V. Subsets of prime numbers received by means of generalized arithmetic progression. (Russian. English summary) Zbl 07263114 Differ. Geom. Mnogoobr. Figur 49, 123-130 (2018). MSC: 11A41 11B25 PDF BibTeX XML Cite \textit{V. Malakhovsky}, Differ. Geom. Mnogoobr. Figur 49, 123--130 (2018; Zbl 07263114) Full Text: Link
Sapozhenko, A. A.; Sargsyan, V. G. The number of \(k\)-sumsets in an abelian group. (Russian, English) Zbl 1438.11065 Diskretn. Anal. Issled. Oper. 25, No. 4, 97-111 (2018); translation in J. Appl. Ind. Math. 12, No. 4, 729-737 (2018). MSC: 11B75 11B13 20K01 20D60 PDF BibTeX XML Cite \textit{A. A. Sapozhenko} and \textit{V. G. Sargsyan}, Diskretn. Anal. Issled. Oper. 25, No. 4, 97--111 (2018; Zbl 1438.11065); translation in J. Appl. Ind. Math. 12, No. 4, 729--737 (2018) Full Text: DOI
Iannucci, Douglas E. When the small divisors of a natural number are in arithmetic progression. (English) Zbl 07069760 Integers 18, Paper A77, 10 p. (2018). MSC: 11B25 11N05 PDF BibTeX XML Cite \textit{D. E. Iannucci}, Integers 18, Paper A77, 10 p. (2018; Zbl 07069760) Full Text: Link
Mercer, Idris Dirichlet’s theorem and Jacobsthal’s function. (English) Zbl 1441.11020 Integers 18, Paper A26, 8 p. (2018). MSC: 11B25 11N25 PDF BibTeX XML Cite \textit{I. Mercer}, Integers 18, Paper A26, 8 p. (2018; Zbl 1441.11020) Full Text: Link arXiv
Eggleton, Roger B.; Morayne, Michal; Rałowski, Robert; Żeberski, Szymon On midpoint-free subsets of some topological groups. (English) Zbl 1416.22006 Houston J. Math. 44, No. 4, 1293-1311 (2018). MSC: 22A30 03E75 PDF BibTeX XML Cite \textit{R. B. Eggleton} et al., Houston J. Math. 44, No. 4, 1293--1311 (2018; Zbl 1416.22006)
He, Xiaoguang Exponential sums involving automorphic forms for \(\mathrm{GL}(3)\) over arithmetic progressions. (English) Zbl 1440.11149 Front. Math. China 13, No. 6, 1355-1368 (2018). MSC: 11L05 11L07 11F30 PDF BibTeX XML Cite \textit{X. He}, Front. Math. China 13, No. 6, 1355--1368 (2018; Zbl 1440.11149) Full Text: DOI
Lebedev, V. Sets with distinct sums of pairs, long arithmetic progressions, and continuous mappings. (English) Zbl 1424.43006 Anal. Math. 44, No. 3, 369-380 (2018). Reviewer: Leszek Skrzypczak (Poznań) MSC: 43A46 42A75 PDF BibTeX XML Cite \textit{V. Lebedev}, Anal. Math. 44, No. 3, 369--380 (2018; Zbl 1424.43006) Full Text: DOI
Zhang, Y. On products of consecutive arithmetic progressions. II. (English) Zbl 1424.11078 Acta Math. Hung. 156, No. 1, 240-254 (2018). Reviewer: Thomas Schmidt (Corvallis) MSC: 11D25 11D72 PDF BibTeX XML Cite \textit{Y. Zhang}, Acta Math. Hung. 156, No. 1, 240--254 (2018; Zbl 1424.11078) Full Text: DOI
Pebody, Luke Proof of a conjecture of Kleinberg-Sawin-Speyer. (English) Zbl 1441.11024 Discrete Anal. 2018, Paper No. 13, 7 p. (2018). Reviewer: Štefan Porubský (Praha) MSC: 11B30 11B13 05D40 PDF BibTeX XML Cite \textit{L. Pebody}, Discrete Anal. 2018, Paper No. 13, 7 p. (2018; Zbl 1441.11024) Full Text: DOI arXiv
Banakh, Taras; Mioduszewski, Jerzy; Turek, Sławomir On continuous self-maps and homeomorphisms of the Golomb space. (English) Zbl 06997360 Commentat. Math. Univ. Carol. 59, No. 4, 423-442 (2018). MSC: 54D05 11A41 PDF BibTeX XML Cite \textit{T. Banakh} et al., Commentat. Math. Univ. Carol. 59, No. 4, 423--442 (2018; Zbl 06997360) Full Text: DOI arXiv
Alese, Leonardo; Lendl, Stefan; Tabatabai, Paul On sequences covering all rainbow \(k\)-progressions. (English) Zbl 1401.05293 J. Comb. 9, No. 4, 739-745 (2018). MSC: 05D10 05A05 05B45 11B25 PDF BibTeX XML Cite \textit{L. Alese} et al., J. Comb. 9, No. 4, 739--745 (2018; Zbl 1401.05293) Full Text: DOI arXiv
Moy, Richard A. Stanley sequences with odd character. (English) Zbl 1448.11027 J. Comb. 9, No. 4, 599-618 (2018). MSC: 11B25 PDF BibTeX XML Cite \textit{R. A. Moy}, J. Comb. 9, No. 4, 599--618 (2018; Zbl 1448.11027) Full Text: DOI arXiv
Mistri, Raj Kumar; Pandey, Ram Krishna; Prakash, Om A generalization of sumset and its applications. (English) Zbl 1448.11179 Proc. Indian Acad. Sci., Math. Sci. 128, No. 5, Paper No. 55, 8 p. (2018). MSC: 11P70 11B13 PDF BibTeX XML Cite \textit{R. K. Mistri} et al., Proc. Indian Acad. Sci., Math. Sci. 128, No. 5, Paper No. 55, 8 p. (2018; Zbl 1448.11179) Full Text: DOI
Srichan, Teerapat On the absence of zeros in infinite arithmetic progression for certain zeta functions. (English) Zbl 1446.11161 Bull. Aust. Math. Soc. 98, No. 3, 376-382 (2018). MSC: 11M26 11M06 PDF BibTeX XML Cite \textit{T. Srichan}, Bull. Aust. Math. Soc. 98, No. 3, 376--382 (2018; Zbl 1446.11161) Full Text: DOI
Sedunova, Alisa A partial Bombieri-Vinogradov theorem with explicit constants. (English) Zbl 1440.11181 Algèbre et thèorie des nombres 2018. Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2018, 101-110 (2018). MSC: 11N13 11N05 11N36 PDF BibTeX XML Cite \textit{A. Sedunova}, Publ. Math. Besançon, Algèbre Théor. Nombres 2018, 101--110 (2018; Zbl 1440.11181)
Merzbach, Uta C. Dirichlet. A mathematical biography. (English) Zbl 1412.01003 Cham: Birkhäuser (ISBN 978-3-030-01071-3/hbk; 978-3-030-01073-7/ebook). xix, 311 p. (2018). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01-02 01A55 01A70 11-03 PDF BibTeX XML Cite \textit{U. C. Merzbach}, Dirichlet. A mathematical biography. Cham: Birkhäuser (2018; Zbl 1412.01003) Full Text: DOI
Berndt, Bruce C.; Malik, Amita; Zaharescu, Alexandru Partitions into \(k\)th powers of terms in an arithmetic progression. (English) Zbl 1412.11129 Math. Z. 290, No. 3-4, 1277-1307 (2018). Reviewer: Mihály Szalay (Budapest) MSC: 11P82 11N37 11P55 11P83 PDF BibTeX XML Cite \textit{B. C. Berndt} et al., Math. Z. 290, No. 3--4, 1277--1307 (2018; Zbl 1412.11129) Full Text: DOI
Kwela, Marta; Nowik, Andrzej Ideals of nowhere dense sets in some topologies on positive integers. (English) Zbl 1398.54057 Topology Appl. 248, 149-163 (2018). Reviewer: K. P. Hart (Delft) MSC: 54H05 03E15 11A41 11B05 11B25 54D05 54D10 PDF BibTeX XML Cite \textit{M. Kwela} and \textit{A. Nowik}, Topology Appl. 248, 149--163 (2018; Zbl 1398.54057) Full Text: DOI
dos Santos, Otávio J. N. T. N.; Monte Carmelo, Emerson L. A connection between sumsets and covering codes of a module. (English) Zbl 1401.11018 Adv. Math. Commun. 12, No. 3, 595-605 (2018). MSC: 11B13 11T71 13M05 94B75 PDF BibTeX XML Cite \textit{O. J. N. T. N. dos Santos} and \textit{E. L. Monte Carmelo}, Adv. Math. Commun. 12, No. 3, 595--605 (2018; Zbl 1401.11018) Full Text: DOI
Bhowmik, Gautami; Halupczok, Karin; Matsumoto, Kohji; Suzuki, Yuta Goldbach representations in arithmetic progressions and zeros of Dirichlet \(L\)-functions. (English) Zbl 1432.11136 Mathematika 65, No. 1, 57-97 (2019). Reviewer: Valentin Blomer (Bonn) MSC: 11P32 11M26 11M41 PDF BibTeX XML Cite \textit{G. Bhowmik} et al., Mathematika 65, No. 1, 57--97 (2018; Zbl 1432.11136) Full Text: DOI arXiv
Peluse, Sarah Mixing for three-term progressions in finite simple groups. (English) Zbl 1446.20041 Math. Proc. Camb. Philos. Soc. 165, No. 2, 279-286 (2018). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 20D60 20D06 20G40 20P05 PDF BibTeX XML Cite \textit{S. Peluse}, Math. Proc. Camb. Philos. Soc. 165, No. 2, 279--286 (2018; Zbl 1446.20041) Full Text: DOI arXiv
Maran, Kaushik; Reddy, Sai Praneeth; Sharma, Dravyansh; Tripathi, Amitabha Some results on a class of mixed van der Waerden numbers. (English) Zbl 1393.05259 Rocky Mt. J. Math. 48, No. 3, 885-904 (2018). MSC: 05D10 PDF BibTeX XML Cite \textit{K. Maran} et al., Rocky Mt. J. Math. 48, No. 3, 885--904 (2018; Zbl 1393.05259) Full Text: DOI Euclid
Sawhney, Mehtaab; Stoner, David On a conjecture regarding permutations which destroy arithmetic progressions. (English) Zbl 1441.11021 Electron. J. Comb. 25, No. 2, Research Paper P2.42, 18 p. (2018). MSC: 11B25 11B75 11L40 PDF BibTeX XML Cite \textit{M. Sawhney} and \textit{D. Stoner}, Electron. J. Comb. 25, No. 2, Research Paper P2.42, 18 p. (2018; Zbl 1441.11021) Full Text: Link arXiv
Chen, Yong-Gao; Lei, Cheng-Hao Arithmetic progressions in the least positive reduced residue systems. (English) Zbl 1446.11018 J. Number Theory 190, 303-310 (2018). MSC: 11B25 11A07 11N37 PDF BibTeX XML Cite \textit{Y.-G. Chen} and \textit{C.-H. Lei}, J. Number Theory 190, 303--310 (2018; Zbl 1446.11018) Full Text: DOI
Berglund, Kenneth The maximum size of subsets forbidding cyclic arithmetic progressions. (English) Zbl 1392.05110 Geombinatorics 27, No. 3, 103-108 (2018). Reviewer: Sandor Kiss (Budapest) MSC: 05D10 05C15 PDF BibTeX XML Cite \textit{K. Berglund}, Geombinatorics 27, No. 3, 103--108 (2018; Zbl 1392.05110)
Kosters, Michiel; Zhu, Hui June On slopes of \(L\)-functions of \(\mathbb{Z}_p\)-covers over the projective line. (English) Zbl 1430.11159 J. Number Theory 187, 430-452 (2018). MSC: 11T23 11L07 13F35 11R58 PDF BibTeX XML Cite \textit{M. Kosters} and \textit{H. J. Zhu}, J. Number Theory 187, 430--452 (2018; Zbl 1430.11159) Full Text: DOI arXiv
Fang, Jin-Hui Stability of perturbed sequences as a subbasis. (English) Zbl 1399.11036 Publ. Math. 92, No. 3-4, 453-458 (2018). Reviewer: László A. Székely (Columbia) MSC: 11B13 11B25 PDF BibTeX XML Cite \textit{J.-H. Fang}, Publ. Math. 92, No. 3--4, 453--458 (2018; Zbl 1399.11036) Full Text: DOI
Kiss, S. Z.; Sándor, Cs.; Yang, Q.-H. On generalized Stanley sequences. (English) Zbl 1399.11067 Acta Math. Hung. 154, No. 2, 501-510 (2018). Reviewer: László A. Székely (Columbia) MSC: 11B75 11B25 PDF BibTeX XML Cite \textit{S. Z. Kiss} et al., Acta Math. Hung. 154, No. 2, 501--510 (2018; Zbl 1399.11067) Full Text: DOI
Pongsriiam, Prapanpong; Vaughan, Robert C. The divisor function on residue classes. II. (English) Zbl 1439.11255 Acta Arith. 182, No. 2, 133-181 (2018). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A25 PDF BibTeX XML Cite \textit{P. Pongsriiam} and \textit{R. C. Vaughan}, Acta Arith. 182, No. 2, 133--181 (2018; Zbl 1439.11255) Full Text: DOI
Chen, Yong-Gao On \(\text{AP}_{3}\)-covering sequences. (Sur les suites d’entiers \(\text{AP}_{3}\).) (English. French summary) Zbl 1439.11075 C. R., Math., Acad. Sci. Paris 356, No. 2, 121-124 (2018). MSC: 11B75 11B25 05D10 PDF BibTeX XML Cite \textit{Y.-G. Chen}, C. R., Math., Acad. Sci. Paris 356, No. 2, 121--124 (2018; Zbl 1439.11075) Full Text: DOI
Komjáth, Péter Set mappings with free sets which are arithmetic progressions. (English) Zbl 1397.03053 Mathematika 64, No. 1, 71-76 (2018). Reviewer: Jan Kraszewski (Wrocław) MSC: 03E05 03E02 03E50 PDF BibTeX XML Cite \textit{P. Komjáth}, Mathematika 64, No. 1, 71--76 (2018; Zbl 1397.03053) Full Text: DOI
Blankenship, Thomas; Cummings, Jay; Taranchuk, Vladislav A new lower bound for van der Waerden numbers. (English) Zbl 1376.05158 Eur. J. Comb. 69, 163-168 (2018). MSC: 05D10 11B25 PDF BibTeX XML Cite \textit{T. Blankenship} et al., Eur. J. Comb. 69, 163--168 (2018; Zbl 1376.05158) Full Text: DOI
Pongsriiam, Prapanpong Longest arithmetic progressions in reduced residue systems. (English) Zbl 1433.11006 J. Number Theory 183, 309-325 (2018). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11B25 11A07 11N37 11N56 PDF BibTeX XML Cite \textit{P. Pongsriiam}, J. Number Theory 183, 309--325 (2018; Zbl 1433.11006) Full Text: DOI
Huicochea, Mario Inverse theorems in \(\mathbb{Z}/p\mathbb{Z}\) when a subset is contained in a short arithmetic progression. (English) Zbl 1412.11127 Integers 17, Paper A37, 12 p. (2017). MSC: 11P70 11B25 PDF BibTeX XML Cite \textit{M. Huicochea}, Integers 17, Paper A37, 12 p. (2017; Zbl 1412.11127) Full Text: Link
Melham, R. S. Finite reciprocal sums of products involving squares of sines or cosines with arguments in arithmetic progression. (English) Zbl 1412.11057 Integers 17, Paper A33, 12 p. (2017). MSC: 11B83 PDF BibTeX XML Cite \textit{R. S. Melham}, Integers 17, Paper A33, 12 p. (2017; Zbl 1412.11057) Full Text: Link
Balogh, József; Liu, Hong; Sharifzadeh, Maryam The number of subsets of integers with no \(k\)-term arithmetic progression. (English) Zbl 1405.11009 Int. Math. Res. Not. 2017, No. 20, 6168-6186 (2017). MSC: 11B30 11B25 05C35 05D05 05D10 PDF BibTeX XML Cite \textit{J. Balogh} et al., Int. Math. Res. Not. 2017, No. 20, 6168--6186 (2017; Zbl 1405.11009) Full Text: DOI
Firozzaman, Firoz; Firoz, Fahim Efficient remainder rule. (English) Zbl 1397.97005 Int. J. Math. Educ. Sci. Technol. 48, No. 5, 756-762 (2017). MSC: 97F60 11A07 PDF BibTeX XML Cite \textit{F. Firozzaman} and \textit{F. Firoz}, Int. J. Math. Educ. Sci. Technol. 48, No. 5, 756--762 (2017; Zbl 1397.97005) Full Text: DOI
Alberto-Dominguez, José del Carmen; Acosta, Gerardo; Delgadillo-Piñón, Gerardo; Madriz-Mendoza, Maira The Golomb space and its non connectedness “im kleinen”. (Spanish. English summary) Zbl 1403.54015 Rev. Integr. 35, No. 2, 189-213 (2017). MSC: 54D05 11B25 54D10 54A05 11B05 11A07 11A41 PDF BibTeX XML Cite \textit{J. d. C. Alberto-Dominguez} et al., Rev. Integr. 35, No. 2, 189--213 (2017; Zbl 1403.54015) Full Text: DOI
Dira, Oboifeng A note on composition and recursion. (English) Zbl 1399.11037 Southeast Asian Bull. Math. 41, No. 6, 849-853 (2017). MSC: 11B25 11B37 PDF BibTeX XML Cite \textit{O. Dira}, Southeast Asian Bull. Math. 41, No. 6, 849--853 (2017; Zbl 1399.11037)
Dimitrov, S. I. Prime triples \(p_1,p_2,p_3\) in arithmetic progressions such that \(p_1=x^2+y^2+1,p_3=[n^c]\). (English) Zbl 1398.11126 Notes Number Theory Discrete Math. 23, No. 4, 22-33 (2017). MSC: 11N36 11P32 PDF BibTeX XML Cite \textit{S. I. Dimitrov}, Notes Number Theory Discrete Math. 23, No. 4, 22--33 (2017; Zbl 1398.11126) Full Text: Link
Tomski, Andrzej; Zakarczemny, Maciej On some cancellation algorithms. (English) Zbl 1386.11017 Notes Number Theory Discrete Math. 23, No. 1, 101-114 (2017). MSC: 11A41 11N32 11N36 PDF BibTeX XML Cite \textit{A. Tomski} and \textit{M. Zakarczemny}, Notes Number Theory Discrete Math. 23, No. 1, 101--114 (2017; Zbl 1386.11017) Full Text: Link
Sittinger, Brian D. A note on the density of quotients of primes in arithmetic progressions. (English) Zbl 1386.11016 Notes Number Theory Discrete Math. 23, No. 1, 99-100 (2017). MSC: 11A41 PDF BibTeX XML Cite \textit{B. D. Sittinger}, Notes Number Theory Discrete Math. 23, No. 1, 99--100 (2017; Zbl 1386.11016) Full Text: Link
Ciss, Abdoul Aziz; Moody, Dustin Geometric progressions on elliptic curves. (English) Zbl 1417.11104 Glas. Mat., III. Ser. 52, No. 1, 1-10 (2017). MSC: 11G05 11B25 11D41 PDF BibTeX XML Cite \textit{A. A. Ciss} and \textit{D. Moody}, Glas. Mat., III. Ser. 52, No. 1, 1--10 (2017; Zbl 1417.11104) Full Text: DOI
Sargsyan, Vahe G. Estimates of the number of \((k,l)\)-sumsets in the finite abelian group. (English. Russian original) Zbl 1420.11021 Discrete Math. Appl. 27, No. 4, 223-229 (2017); translation from Diskretn. Mat. 28, 2, 71-80 (2016). MSC: 11B13 11B25 11B30 PDF BibTeX XML Cite \textit{V. G. Sargsyan}, Discrete Math. Appl. 27, No. 4, 223--229 (2017; Zbl 1420.11021); translation from Diskretn. Mat. 28, 2, 71--80 (2016) Full Text: DOI
Chang, Mei-Chu Arithmetic progressions in multiplicative groups of finite fields. (English) Zbl 1390.11027 Isr. J. Math. 222, No. 2, 631-643 (2017). Reviewer: Štefan Porubský (Praha) MSC: 11B25 11B30 20F05 PDF BibTeX XML Cite \textit{M.-C. Chang}, Isr. J. Math. 222, No. 2, 631--643 (2017; Zbl 1390.11027) Full Text: DOI arXiv
Vinh, Le Anh On \(3\)-term arithmetic progressions in product sets over finite rings via spectra of graphs. (English) Zbl 1424.05195 Ars Comb. 132, 137-145 (2017). MSC: 05C50 PDF BibTeX XML Cite \textit{L. A. Vinh}, Ars Comb. 132, 137--145 (2017; Zbl 1424.05195)
Parshina, Olga G. On arithmetic index in the generalized Thue-Morse word. (English) Zbl 1405.68269 Brlek, Srečko (ed.) et al., Combinatorics on words. 11th international conference, WORDS 2017, Montréal, QC, Canada, September 11–15, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-66395-1/pbk; 978-3-319-66396-8/ebook). Lecture Notes in Computer Science 10432, 121-131 (2017). MSC: 68R15 11B25 11B85 PDF BibTeX XML Cite \textit{O. G. Parshina}, Lect. Notes Comput. Sci. 10432, 121--131 (2017; Zbl 1405.68269) Full Text: DOI
Komjáth, P. On a theorem of Galvin and Nagy. (English) Zbl 1389.91026 Acta Math. Hung. 152, No. 1, 161-165 (2017). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 91A46 91A44 03E05 PDF BibTeX XML Cite \textit{P. Komjáth}, Acta Math. Hung. 152, No. 1, 161--165 (2017; Zbl 1389.91026) Full Text: DOI
Hajdu, Lajos; Szikszai, Márton; Ziegler, Volker On arithmetic progressions in Lucas sequences. (English) Zbl 1371.11040 J. Integer Seq. 20, No. 8, Article 17.8.6, 18 p. (2017). MSC: 11B39 PDF BibTeX XML Cite \textit{L. Hajdu} et al., J. Integer Seq. 20, No. 8, Article 17.8.6, 18 p. (2017; Zbl 1371.11040) Full Text: EMIS
Nunes, R. M. On the least squarefree number in an arithmetic progression. (English) Zbl 1400.11130 Mathematika 63, No. 2, 483-498 (2017). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A07 11N13 PDF BibTeX XML Cite \textit{R. M. Nunes}, Mathematika 63, No. 2, 483--498 (2017; Zbl 1400.11130) Full Text: DOI arXiv
Lai, Chun-Kit Perfect fractal sets with zero Fourier dimension and arbitrarily long arithmetic progressions. (English) Zbl 1403.28006 Ann. Acad. Sci. Fenn., Math. 42, No. 2, 1009-1017 (2017). Reviewer: Peter Massopust (München) MSC: 28A80 42A38 PDF BibTeX XML Cite \textit{C.-K. Lai}, Ann. Acad. Sci. Fenn., Math. 42, No. 2, 1009--1017 (2017; Zbl 1403.28006) Full Text: DOI arXiv
Mikami, Kentaro; O’Hara, Jun; Sugahara, Kunio Triangles with sides in arithmetic progression. (English) Zbl 1372.51011 Elem. Math. 72, No. 2, 75-79 (2017). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 51M04 PDF BibTeX XML Cite \textit{K. Mikami} et al., Elem. Math. 72, No. 2, 75--79 (2017; Zbl 1372.51011) Full Text: DOI