Corob Cook, Ged; Kionke, Steffen; Vannacci, Matteo Weil zeta functions of group representations over finite fields. (English) Zbl 1540.20025 Sel. Math., New Ser. 30, No. 3, Paper No. 46, 57 p. (2024). Reviewer: Alastair Litterick (Colchester) MSC: 20C20 20P05 20F69 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Thorner, Jesse; Zaman, Asif Refinements to the prime number theorem for arithmetic progressions. (English) Zbl 07812274 Math. Z. 306, No. 3, Paper No. 54, 14 p. (2024). Reviewer: Michael Th. Rassias (Vari) MSC: 11M06 11N13 11N35 11M26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauck, Maximilian; Shparlinski, Igor E. Smooth numbers with few nonzero binary digits. (English) Zbl 07802118 Can. Math. Bull. 67, No. 1, 74-89 (2024). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11A63 11L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klurman, Oleksiy; Mangerel, Alexander P.; Teräväinen, Joni Multiplicative functions in short arithmetic progressions. (English) Zbl 1530.11077 Proc. Lond. Math. Soc. (3) 127, No. 2, 366-446 (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N64 11N13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Banks, William; Shparlinski, Igor On a conjecture of Soundararajan. (English) Zbl 1523.11166 Bull. Lond. Math. Soc. 54, No. 1, 301-317 (2022). MSC: 11N25 11N69 11M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Korolev, M. A. Methods of estimating short Kloosterman sums. (English. Russian original) Zbl 1517.11099 Dokl. Math. 106, Part Suppl. 2, S230-S245 (2022); translation from Chebyshevskiĭ Sb. 17, No. 4(60), 79-109 (2016). MSC: 11L05 11-02 × Cite Format Result Cite Review PDF Full Text: DOI
Baier, Stephan; Pujahari, Sudhir A Bombieri-Vinogradov-type theorem with prime power moduli. (English) Zbl 1539.11100 Acta Arith. 204, No. 2, 115-140 (2022). Reviewer: Bogdan Petrenko (Charleston) MSC: 11J71 11K41 11K60 11L20 11L40 11N05 11N13 11N35 11N36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yamagishi, Shuntaro Diophantine equations in primes: density of prime points on affine hypersurfaces. (English) Zbl 1504.11057 Duke Math. J. 171, No. 4, 831-884 (2022). Reviewer: Simon Kristensen (Aarhus) MSC: 11D45 11D72 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pintz, J.; Ruzsa, Z. I. On Linnik’s approximation to Goldbach’s problem. II. (English) Zbl 1474.11173 Acta Math. Hung. 161, No. 2, 569-582 (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11P32 11L07 × Cite Format Result Cite Review PDF Full Text: DOI Link
Pierce, Lillian B.; Xu, Junyan Burgess bounds for short character sums evaluated at forms. (English) Zbl 1464.11085 Algebra Number Theory 14, No. 7, 1911-1951 (2020). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Swaenepoel, Cathy Prime numbers with a positive proportion of preassigned digits. (English) Zbl 1469.11370 Proc. Lond. Math. Soc. (3) 121, No. 1, 83-151 (2020). Reviewer: Jean-Paul Allouche (Paris) MSC: 11N05 11A41 11A63 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Banks, William D.; Shparlinski, Igor E. Sums with the Möbius function twisted by characters with powerful moduli. (English) Zbl 1460.11109 Trans. Am. Math. Soc. 373, No. 1, 249-272 (2020). Reviewer: Olivier Ramaré (Marseille) MSC: 11L40 11L26 11M06 11M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banks, William D.; Shparlinski, Igor E. Bounds on short character sums and \(L\)-functions with characters to a powerful modulus. (English) Zbl 1460.11110 J. Anal. Math. 139, No. 1, 239-263 (2019). Reviewer: Olivier Ramaré (Marseille) MSC: 11L40 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gómez-Pérez, Domingo; Shparlinski, Igor E. Arithmetic properties of integers in chains and reflections of \(g\)-ary expansions. (English) Zbl 1411.11008 Exp. Math. 27, No. 2, 184-192 (2018). MSC: 11A63 11A41 11N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Korolev, M. A. Short Kloosterman sums to powerful modulus. (English. Russian original) Zbl 1357.11069 Dokl. Math. 94, No. 2, 561-562 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 5, 505-507 (2016). MSC: 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banks, William D.; Freiberg, Tristan; Maynard, James On limit points of the sequence of normalized prime gaps. (English) Zbl 1410.11114 Proc. Lond. Math. Soc. (3) 113, No. 4, 515-539 (2016). MSC: 11N05 11N36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khan, Rizwanur The divisor function in arithmetic progressions modulo prime powers. (English) Zbl 1396.11115 Mathematika 62, No. 3, 898-908 (2016). MSC: 11N37 11L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourgain, Jean On the Fourier-Walsh spectrum of the Moebius function. II. (English) Zbl 1417.11046 J. Anal. Math. 128, 355-367 (2016). MSC: 11F30 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourgain, Jean Prescribing the binary digits of primes. II. (English) Zbl 1310.11097 Isr. J. Math. 206, 165-182 (2015). Reviewer: Giovanni Coppola (Avellino) MSC: 11N05 11A63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Mei-Chu Short character sums for composite moduli. (English) Zbl 1372.11087 J. Anal. Math. 123, 1-33 (2014). MSC: 11L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hiary, Ghaith A. Computing Dirichlet character sums to a power-full modulus. (English) Zbl 1320.11079 J. Number Theory 140, 122-146 (2014). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 11Y16 11L03 11L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alon, Noga; Bourgain, Jean Additive patterns in multiplicative subgroups. (English) Zbl 1377.11013 Geom. Funct. Anal. 24, No. 3, 721-739 (2014). MSC: 11B30 05C25 12E20 × Cite Format Result Cite Review PDF Full Text: DOI
Bober, Jonathan W.; Goldmakher, Leo The distribution of the maximum of character sums. (English) Zbl 1316.11075 Mathematika 59, No. 2, 427-442 (2013). MSC: 11L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourgain, Jean Prescribing the binary digits of primes. (English) Zbl 1309.11065 Isr. J. Math. 194, Part B, 935-955 (2013). MSC: 11N05 11A41 11A63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Graham, Sidney W.; Shparlinski, Igor E. On RSA moduli with almost half of the bits prescribed. (English) Zbl 1172.11046 Discrete Appl. Math. 156, No. 16, 3150-3154 (2008). Reviewer: Sergey Stepanov (Moskva) MSC: 11T71 11L40 94A60 11N25 11Y16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elliott, P. D. T. A. Primes in progressions to moduli with a large power factor. (English) Zbl 1127.11063 Ramanujan J. 13, No. 1-3, 241-251 (2007). Reviewer: Roger Heath-Brown (Oxford) MSC: 11N13 × Cite Format Result Cite Review PDF Full Text: DOI
Shparlinski, Igor E. On RSA moduli with prescribed bit patterns. (English) Zbl 1172.11047 Des. Codes Cryptography 39, No. 1, 113-122 (2006). MSC: 11T71 11N25 11T23 11Y16 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Chou, Wun-Seng; Shparlinski, Igor E. On the cycle structure of repeated exponentiation modulo a prime. (English) Zbl 1060.11059 J. Number Theory 107, No. 2, 345-356 (2004). Reviewer: Franco Vivaldi (London) MSC: 11N56 11A15 × Cite Format Result Cite Review PDF Full Text: DOI