Lund, Ben; Petridis, Giorgis Bisectors and pinned distances. (English) Zbl 1462.51010 Discrete Comput. Geom. 64, No. 3, 995-1012 (2020). Reviewer: Boumédiène Et-Taoui (Mulhouse) MSC: 51M05 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pham, Thang; Suk, Andrew On the structure of distance sets over prime fields. (English) Zbl 1453.11164 Proc. Am. Math. Soc. 148, No. 8, 3209-3215 (2020). Reviewer: Noureddine Daili (Sétif) MSC: 11T23 11T60 11B30 11T24 11H31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iosevich, Alex; Koh, Doowon; Pham, Thang New bounds for distance-type problems over prime fields. (English) Zbl 1478.11031 Eur. J. Comb. 86, Article ID 103080, 11 p. (2020). Reviewer: Oliver Roche-Newton (Linz) MSC: 11B75 52C10 × Cite Format Result Cite Review PDF Full Text: DOI
Iosevich, Alex; Koh, Doowon; Parshall, Hans On the quotient set of the distance set. (English) Zbl 1454.11222 Mosc. J. Comb. Number Theory 8, No. 2, 103-115 (2019). Reviewer: Noureddine Daili (Sétif) MSC: 11T24 52C17 11H31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pyber, László; Szabó, Endre Growth in finite simple groups of Lie type. (English) Zbl 1371.20010 J. Am. Math. Soc. 29, No. 1, 95-146 (2016). Reviewer: Nick Gill (Pontypridd) MSC: 20D06 20F69 20G15 20G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Chun-Yen On the sum product estimates and two variables expanders. (English) Zbl 1219.11037 Publ. Mat., Barc. 54, No. 1, 149-157 (2010). Reviewer: Weidong Gao (Tianjin) MSC: 11B30 11B75 × Cite Format Result Cite Review PDF Full Text: DOI Euclid Link
Bourgain, J. The sum-product phenomenon and some of its applications. (English) Zbl 1221.11030 Chen, W. W. L. (ed.) et al., Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press (ISBN 978-0-521-51538-2/hbk). 62-74 (2009). Reviewer: Angel V. Kumchev (Towson) MSC: 11B30 11B75 11L07 11N35 11T23 05C25 20F65 × Cite Format Result Cite Review PDF
Shen, Chun-Yen Quantitative sum product estimates on different sets. (English) Zbl 1171.11014 Electron. J. Comb. 15, No. 1, Research Paper N40, 7 p. (2008). Reviewer: László A. Székely (Columbia) MSC: 11B75 12E20 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Bourgain, Jean The sum-product theorem in \(\mathbb Z_q\) with \(q\) arbitrary. (English) Zbl 1214.11017 J. Anal. Math. 106, 1-93 (2008). Reviewer: Hao Pan (Nanjing) MSC: 11B13 11L07 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Mei-Chu On a question of Davenport and Lewis and new character sum bounds in finite fields. (English) Zbl 1241.11137 Duke Math. J. 145, No. 3, 409-442 (2008). Reviewer: Olaf Ninnemann (Berlin) MSC: 11T24 11L40 11L26 11A07 11B75 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Chun-Yen An extension of Bourgain and Garaev’s sum-product estimates. (English) Zbl 1163.11018 Acta Arith. 135, No. 4, 351-356 (2008). Reviewer: Julia Wolf (Piscataway) MSC: 11B30 11B75 12E20 × Cite Format Result Cite Review PDF Full Text: DOI
Garaev, M. Z.; Garcia, V. C. The equation \(x_1x_2=x_3x_4+\lambda \) in fields of prime order and applications. (English) Zbl 1225.11005 J. Number Theory 128, No. 9, 2520-2537 (2008). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B50 11L07 11L40 × Cite Format Result Cite Review PDF Full Text: DOI
Zuckerman, David Linear degree extractors and the inapproximability of max clique and chromatic number. (English) Zbl 1213.68322 Theory Comput. 3, Paper No. 6, 103-128 (2007). MSC: 68Q17 65C10 68R10 × Cite Format Result Cite Review PDF Full Text: DOI
Glibichuk, A. A.; Konyagin, S. V. Additive properties of product sets in fields of prime order. (English) Zbl 1215.11020 Granville, Andrew (ed.) et al., Additive combinatorics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4351-2/pbk). CRM Proceedings and Lecture Notes 43, 279-286 (2007). Reviewer: Olaf Ninnemann (Berlin) MSC: 11B30 11T99 × Cite Format Result Cite Review PDF Full Text: arXiv
Hart, Derrick; Iosevich, Alex; Solymosi, Jozsef Sum-product estimates in finite fields via Kloosterman sums. (English) Zbl 1146.11013 Int. Math. Res. Not. 2007, No. 5, Article ID rnm007, 14 p. (2007). Reviewer: Julia Wolf (Berkeley) MSC: 11B75 11L07 11T23 × Cite Format Result Cite Review PDF Full Text: DOI
Garaev, M. Z. An explicit sum-product estimate in \(\mathbb F_p\). (English) Zbl 1160.11014 Int. Math. Res. Not. 2007, No. 11, Article ID rnm035, 11 p. (2007). Reviewer: Olaf Ninnemann (Berlin) MSC: 11B75 11T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zuckerman, David Linear degree extractors and the inapproximability of Max Clique and Chromatic Number. (English) Zbl 1301.68152 Kleinberg, Jon M. (ed.), Proceedings of the 38th annual ACM symposium on theory of computing, STOC 2006. Seattle, WA, USA, May 21–23, 2006. New York, NY: ACM Press (ISBN 1-59593-134-1). 681-690 (2006). MSC: 68Q17 05C15 05C69 11B75 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Bourgain, J. Exponential sum estimates over subgroups of \(\mathbb Z^*_q\), \(q\) arbitrary. (English) Zbl 1183.11045 J. Anal. Math. 97, 317-355 (2006). MSC: 11L07 × Cite Format Result Cite Review PDF Full Text: DOI
Barak, Boaz; Impagliazzo, Russell; Wigderson, Avi Extracting randomness using few independent sources. (English) Zbl 1127.68030 SIAM J. Comput. 36, No. 4, 1095-1118 (2006). MSC: 68Q10 05B20 05C55 11T23 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Mei-Chu On sum-product representation in \(\mathbb Z_q\). (English) Zbl 1175.11010 J. Eur. Math. Soc. (JEMS) 8, No. 3, 435-463 (2006). Reviewer: Stephan Baier (Bristol) MSC: 11B75 11L07 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bourgain, J.; Chang, M.-C. Exponential sum estimates over subgroups and almost subgroups of \(\mathbb Z_Q^*\), where \(Q\) is composite with few prime factors. (English) Zbl 1183.11047 Geom. Funct. Anal. 16, No. 2, 327-366 (2006). MSC: 11L07 11L05 × Cite Format Result Cite Review PDF Full Text: DOI
Bourgain, J.; Glibichuk, A. A.; Konyagin, S. V. Estimates for the number of sums and products and for exponential sums in fields of prime order. (English) Zbl 1093.11057 J. Lond. Math. Soc., II. Ser. 73, No. 2, 380-398 (2006). Reviewer: Angel V. Kumchev (Towson) MSC: 11B30 11L07 11L05 11T23 × Cite Format Result Cite Review PDF Full Text: DOI
Bourgain, J. More on the sum-product phenomenon in prime fields and its applications. (English) Zbl 1173.11310 Int. J. Number Theory 1, No. 1, 1-32 (2005). MSC: 11B75 11L05 11T23 × Cite Format Result Cite Review PDF Full Text: DOI
Croot, Ernie Sums of the form \(1/x_1^k+\cdots+ 1/x_n^k\) modulo a prime. (English) Zbl 1083.11019 Integers 4, Paper A20, 6 p. (2004). Reviewer: Christian Elsholtz (Surrey) MSC: 11B75 11D68 11D79 × Cite Format Result Cite Review PDF Full Text: arXiv
Bourgain, Jean Mordell type exponential sum estimates in fields of prime order. (English. Abridged French version) Zbl 1113.11049 C. R., Math., Acad. Sci. Paris 339, No. 5, 321-325 (2004). MSC: 11L07 11L05 × Cite Format Result Cite Review PDF Full Text: DOI Link