Soundararajan, Kannan Finite fields, with applications to combinatorics. (English) Zbl 07635221 Student Mathematical Library 99. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6930-6/pbk; 978-1-4704-7242-9/ebook). xii, 170 p. (2022). MSC: 11-01 05-01 12-01 11A07 11A51 05B10 12E20 PDF BibTeX XML Cite \textit{K. Soundararajan}, Finite fields, with applications to combinatorics. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 07635221) OpenURL
Gallardo, Luis Bell numbers and Kurepa’s conjecture. (English) Zbl 07613682 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 76, No. 1, 17-23 (2022). MSC: 11T55 11T06 11B73 11B65 05A10 12E20 11A07 11A25 PDF BibTeX XML Cite \textit{L. Gallardo}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 76, No. 1, 17--23 (2022; Zbl 07613682) Full Text: DOI OpenURL
Chaichana, Tuangrat; Laohakosol, Vichian; Meesa, Rattiya Sequences of polynomials satisfying the Pascal property. (English) Zbl 1495.13030 Turk. J. Math. 46, No. 4, 1565-1579 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 13F20 11C08 PDF BibTeX XML Cite \textit{T. Chaichana} et al., Turk. J. Math. 46, No. 4, 1565--1579 (2022; Zbl 1495.13030) Full Text: DOI OpenURL
Elia, Michele; Carmelo Interlando, J. On fiber characters of \(\mathbb{F}^{\ast}_{p^m}\) and related polynomial algebras. (English) Zbl 1500.11003 J. Discrete Math. Sci. Cryptography 25, No. 1, 83-95 (2022). Reviewer: Telveenus Antony (Kingston upon Thames) MSC: 11A15 11T22 12E20 13F20 PDF BibTeX XML Cite \textit{M. Elia} and \textit{J. Carmelo Interlando}, J. Discrete Math. Sci. Cryptography 25, No. 1, 83--95 (2022; Zbl 1500.11003) Full Text: DOI OpenURL
Brouwer, Andries E.; Martin, William J. Triple intersection numbers for the Paley graphs. (English) Zbl 1493.05293 Finite Fields Appl. 80, Article ID 102010, 4 p. (2022). MSC: 05E30 12E20 PDF BibTeX XML Cite \textit{A. E. Brouwer} and \textit{W. J. Martin}, Finite Fields Appl. 80, Article ID 102010, 4 p. (2022; Zbl 1493.05293) Full Text: DOI arXiv OpenURL
Kalita, Gautam Another proof of a supercongruence conjecture of Z.-W. Sun. (English) Zbl 1490.11005 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 2, 283-287 (2021). MSC: 11A07 33C20 12E20 PDF BibTeX XML Cite \textit{G. Kalita}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 2, 283--287 (2021; Zbl 1490.11005) Full Text: DOI OpenURL
Jones, Gareth Aneurin Infinite Paley graphs. (English) Zbl 1469.05119 Art Discrete Appl. Math. 4, No. 2, Paper No. P2.05, 10 p. (2021). MSC: 05C63 03C13 03C15 05C80 05E18 11L40 12E20 20B25 20B27 PDF BibTeX XML Cite \textit{G. A. Jones}, Art Discrete Appl. Math. 4, No. 2, Paper No. P2.05, 10 p. (2021; Zbl 1469.05119) Full Text: DOI arXiv OpenURL
Maruyama, Fumitsuna; Deguchi, Yozo; Toyoizumi, Masao Euler-Fermat type theorem for the matrix ring over \(F_p\). (English) Zbl 1487.11005 JP J. Algebra Number Theory Appl. 46, No. 1, 89-95 (2020). Reviewer: Jorma K. Merikoski (Tampere) MSC: 11A07 15B33 15B36 PDF BibTeX XML Cite \textit{F. Maruyama} et al., JP J. Algebra Number Theory Appl. 46, No. 1, 89--95 (2020; Zbl 1487.11005) Full Text: DOI OpenURL
Chandrasekhar, Karthik; Ehrenborg, Richard; Beukers, Frits A counting proof for when 2 is a quadratic residue. (English) Zbl 1471.11011 Am. Math. Mon. 127, No. 8, 750-751 (2020). MSC: 11A15 11A07 PDF BibTeX XML Cite \textit{K. Chandrasekhar} et al., Am. Math. Mon. 127, No. 8, 750--751 (2020; Zbl 1471.11011) Full Text: DOI Link OpenURL
Lewko, Mark Counting rectangles and an improved restriction estimate for the paraboloid in \(F_p^3\). (English) Zbl 1434.42010 Proc. Am. Math. Soc. 148, No. 4, 1535-1543 (2020). MSC: 42B10 11B75 PDF BibTeX XML Cite \textit{M. Lewko}, Proc. Am. Math. Soc. 148, No. 4, 1535--1543 (2020; Zbl 1434.42010) Full Text: DOI arXiv OpenURL
Maruyama, Fumitsuna; Deguchi, Yozo; Toyoizumi, Masao Euler-Fermat type theorem for 2 by 2 matrix ring over \(F_p\). (English) Zbl 1493.11010 JP J. Algebra Number Theory Appl. 44, No. 1, 103-111 (2019). Reviewer: Jorma K. Merikoski (Tampere) MSC: 11A07 15B33 15B36 PDF BibTeX XML Cite \textit{F. Maruyama} et al., JP J. Algebra Number Theory Appl. 44, No. 1, 103--111 (2019; Zbl 1493.11010) Full Text: DOI OpenURL
Sun, Zhiwei New observations on primitive roots modulo primes. (English) Zbl 1463.11004 J. Nanjing Univ., Math. Biq. 36, No. 2, 108-133 (2019). MSC: 11A07 11A41 11A15 11B39 11B68 PDF BibTeX XML Cite \textit{Z. Sun}, J. Nanjing Univ., Math. Biq. 36, No. 2, 108--133 (2019; Zbl 1463.11004) Full Text: arXiv OpenURL
Li, Keyao; Liu, Hua’ning On the trace of products of \(k\) elements in finite fields. (Chinese. English summary) Zbl 1449.11094 Pure Appl. Math. 35, No. 4, 394-407 (2019). MSC: 11N25 11N69 PDF BibTeX XML Cite \textit{K. Li} and \textit{H. Liu}, Pure Appl. Math. 35, No. 4, 394--407 (2019; Zbl 1449.11094) Full Text: DOI OpenURL
Louboutin, S.; Murchio, A. Representation of the elements of the finite field \(\mathbb{F}_p\) by fractions. (English) Zbl 1449.11006 Period. Math. Hung. 79, No. 2, 218-220 (2019). Reviewer: Thomas A. Schmidt (Corvallis) MSC: 11A07 12E20 PDF BibTeX XML Cite \textit{S. Louboutin} and \textit{A. Murchio}, Period. Math. Hung. 79, No. 2, 218--220 (2019; Zbl 1449.11006) Full Text: DOI OpenURL
Li, Xiumei; Sha, Min Polynomial functions in the residue class rings of Dedekind domains. (English) Zbl 1461.11164 Int. J. Number Theory 15, No. 7, 1473-1486 (2019). Reviewer: Steven T. Dougherty (Scranton) MSC: 11T06 11T55 PDF BibTeX XML Cite \textit{X. Li} and \textit{M. Sha}, Int. J. Number Theory 15, No. 7, 1473--1486 (2019; Zbl 1461.11164) Full Text: DOI arXiv OpenURL
Amano, Fumiya; Mizusawa, Yasushi; Morishita, Masanori On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field. (English) Zbl 1444.11222 Res. Number Theory 4, No. 1, Paper No. 7, 29 p. (2018). MSC: 11R32 57K16 PDF BibTeX XML Cite \textit{F. Amano} et al., Res. Number Theory 4, No. 1, Paper No. 7, 29 p. (2018; Zbl 1444.11222) Full Text: DOI arXiv OpenURL
Kalita, Gautam Beukers-like supercongruences for generalized Apéry numbers. (English) Zbl 1404.11005 Ramanujan J. 47, No. 3, 501-508 (2018). MSC: 11A07 33C20 12E20 PDF BibTeX XML Cite \textit{G. Kalita}, Ramanujan J. 47, No. 3, 501--508 (2018; Zbl 1404.11005) Full Text: DOI OpenURL
Fouli, Louiza; Olberding, Bruce Generators of reductions of ideals in a local Noetherian ring with finite residue field. (English) Zbl 1408.13011 Proc. Am. Math. Soc. 146, No. 12, 5051-5063 (2018). Reviewer: Catalin Ciuperca (Fargo) MSC: 13A30 13B22 13A15 PDF BibTeX XML Cite \textit{L. Fouli} and \textit{B. Olberding}, Proc. Am. Math. Soc. 146, No. 12, 5051--5063 (2018; Zbl 1408.13011) Full Text: DOI arXiv OpenURL
Lee, Chong-Dao; Chang, Yaotsu; Liu, Chia-An A construction of group divisible designs with block sizes 3 to 7. (English) Zbl 1387.05024 Des. Codes Cryptography 86, No. 6, 1281-1293 (2018). MSC: 05B05 51E05 PDF BibTeX XML Cite \textit{C.-D. Lee} et al., Des. Codes Cryptography 86, No. 6, 1281--1293 (2018; Zbl 1387.05024) Full Text: DOI OpenURL
Sivatski, A. S. On common zeros of a pair of quadratic forms over a finite field. (English) Zbl 1421.11028 Finite Fields Appl. 51, 191-203 (2018). MSC: 11E04 11E81 11R99 11T99 PDF BibTeX XML Cite \textit{A. S. Sivatski}, Finite Fields Appl. 51, 191--203 (2018; Zbl 1421.11028) Full Text: DOI OpenURL
Mayer, Daniel C. Annihilator ideals of two-generated metabelian \(p\)-groups. (English) Zbl 1441.20011 J. Algebra Appl. 17, No. 4, Article ID 1850076, 37 p. (2018). MSC: 20D15 20F05 11R37 13F20 13P10 20F12 20F14 PDF BibTeX XML Cite \textit{D. C. Mayer}, J. Algebra Appl. 17, No. 4, Article ID 1850076, 37 p. (2018; Zbl 1441.20011) Full Text: DOI arXiv OpenURL
Munsch, Marc On the minimal number of small elements generating finite prime fields. (English) Zbl 1433.11001 Bull. Aust. Math. Soc. 96, No. 2, 177-184 (2017). MSC: 11A07 11N36 PDF BibTeX XML Cite \textit{M. Munsch}, Bull. Aust. Math. Soc. 96, No. 2, 177--184 (2017; Zbl 1433.11001) Full Text: DOI OpenURL
Alm, Jeremy F. 401 and beyond: improved bounds and algorithms for the Ramsey algebra search. (English) Zbl 1371.11018 J. Integer Seq. 20, No. 8, Article 17.8.4, 10 p. (2017). MSC: 11B13 11A07 03G15 11-04 11U10 11Y55 PDF BibTeX XML Cite \textit{J. F. Alm}, J. Integer Seq. 20, No. 8, Article 17.8.4, 10 p. (2017; Zbl 1371.11018) Full Text: arXiv EMIS OpenURL
Harrington, Joshua; Jones, Lenny Differences between elements of the same order in a finite field. (English) Zbl 1421.11004 J. Number Theory 180, 443-459 (2017). MSC: 11A07 11B39 12Y05 PDF BibTeX XML Cite \textit{J. Harrington} and \textit{L. Jones}, J. Number Theory 180, 443--459 (2017; Zbl 1421.11004) Full Text: DOI OpenURL
Kalita, Gautam; Chetry, Arjun Singh Congruences for generalized Apéry numbers and Gaussian hypergeometric series. (English) Zbl 1358.11013 Res. Number Theory 3, Paper No. 5, 15 p. (2017). MSC: 11A07 33C20 12E20 PDF BibTeX XML Cite \textit{G. Kalita} and \textit{A. S. Chetry}, Res. Number Theory 3, Paper No. 5, 15 p. (2017; Zbl 1358.11013) Full Text: DOI OpenURL
Wei, Yangjiang; Su, Huadong; Tang, Gaohua Unit groups of quotient rings of complex quadratic rings. (English) Zbl 1348.05053 Front. Math. China 11, No. 4, 1037-1056 (2016). MSC: 05C05 11A07 13M05 PDF BibTeX XML Cite \textit{Y. Wei} et al., Front. Math. China 11, No. 4, 1037--1056 (2016; Zbl 1348.05053) Full Text: DOI OpenURL
Shparlinski, Igor E. Dynamical systems of non-algebraic origin: fixed points and orbit lengths. (English) Zbl 1420.37119 Kolyada, Sergiǐ (ed.) et al., Dynamics and numbers. A special programm: June 1 – July 31, 2014. International conference: July 21–25, 2014, Max-Planck Institute for Mathematics, Bonn, Germany. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 669, 261-283 (2016). MSC: 37P10 11B50 37C25 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Contemp. Math. 669, 261--283 (2016; Zbl 1420.37119) Full Text: DOI OpenURL
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A. On the size of the genus of a division algebra. (English) Zbl 1356.16013 Proc. Steklov Inst. Math. 292, 63-93 (2016) and Tr. Mat. Inst. Steklova 292, 69-99 (2016). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K20 16K50 11R52 12E15 12F20 14H05 PDF BibTeX XML Cite \textit{V. I. Chernousov} et al., Proc. Steklov Inst. Math. 292, 63--93 (2016; Zbl 1356.16013) Full Text: DOI OpenURL
Zhang, Xiyong; Huang, Weiwei; Chu, Quanmei; Han, Wenbao Trace self-orthogonal relations of normal bases. (English) Zbl 1331.11113 Finite Fields Appl. 35, 284-317 (2015). MSC: 11T30 12E20 PDF BibTeX XML Cite \textit{X. Zhang} et al., Finite Fields Appl. 35, 284--317 (2015; Zbl 1331.11113) Full Text: DOI OpenURL
van Zanten, A. J.; Bojilov, A.; Dodunekov, S. M. Generalized residue and t-residue codes and their idempotent generators. (English) Zbl 1331.94088 Des. Codes Cryptography 75, No. 2, 315-334 (2015). MSC: 94B65 94B05 94B15 12E20 20C05 PDF BibTeX XML Cite \textit{A. J. van Zanten} et al., Des. Codes Cryptography 75, No. 2, 315--334 (2015; Zbl 1331.94088) Full Text: DOI OpenURL
Solov’ëv, P. A.; Tel’pukhov, D. V. Methodology for basic selection in recursive residue number system. (Russian. English summary) Zbl 1356.65273 Vychisl. Tekhnol. 19, No. 4, 99-106 (2014). MSC: 65Y04 11A07 PDF BibTeX XML Cite \textit{P. A. Solov'ëv} and \textit{D. V. Tel'pukhov}, Vychisl. Tekhnol. 19, No. 4, 99--106 (2014; Zbl 1356.65273) Full Text: Link OpenURL
Foldes, Stephan; Major, László The Cauchy-Schwarz inequality in Cayley graph and tournament structures on finite fields. (English) Zbl 1313.05088 Miskolc Math. Notes 15, No. 1, 153-158 (2014). MSC: 05C12 05C20 05C25 06F99 11T99 PDF BibTeX XML Cite \textit{S. Foldes} and \textit{L. Major}, Miskolc Math. Notes 15, No. 1, 153--158 (2014; Zbl 1313.05088) Full Text: arXiv OpenURL
Sun, Zhi-Wei Supercongruences involving products of two binomial coefficients. (English) Zbl 1331.11012 Finite Fields Appl. 22, 24-44 (2013). MSC: 11B65 11A07 11B39 11B68 11E25 12E20 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Finite Fields Appl. 22, 24--44 (2013; Zbl 1331.11012) Full Text: DOI arXiv OpenURL
García, Victor Cuauhtemoc Distribution and additive properties of sequences with terms involving sumsets in prime fields. (English) Zbl 1301.11014 Integers 12, Paper A41, 8 p. (2012). MSC: 11B50 11A07 11T99 11N25 PDF BibTeX XML Cite \textit{V. C. García}, Integers 12, Paper A41, 8 p. (2012; Zbl 1301.11014) Full Text: EMIS OpenURL
Rani, Seema; Singh, Inderjit; Kumar, Pankaj Quadratic residues codes of prime power length over \(\mathbb Z_4\). (English) Zbl 1272.94090 J. Indian Math. Soc., New Ser. 78, No. 1-4, 155-161 (2011). Reviewer: Bal Kishan Dass (Delhi) MSC: 94B05 94B15 94B65 12E20 16S34 20C05 PDF BibTeX XML Cite \textit{S. Rani} et al., J. Indian Math. Soc., New Ser. 78, No. 1--4, 155--161 (2011; Zbl 1272.94090) OpenURL
Garibaldi, Skip; Petersson, Holger P. Wild Pfister forms over Henselian fields, \(K\)-theory, and conic division algebras. (English) Zbl 1222.17009 J. Algebra 327, No. 1, 386-465 (2011). Reviewer: Detlev Hoffmann (Dortmund) MSC: 17A75 11E04 11E08 12F15 12J10 16K20 17A20 17A45 17A80 19D45 19F15 PDF BibTeX XML Cite \textit{S. Garibaldi} and \textit{H. P. Petersson}, J. Algebra 327, No. 1, 386--465 (2011; Zbl 1222.17009) Full Text: DOI arXiv OpenURL
Aoki, Noboru On multi-quadratic Gauss sums. (English) Zbl 1275.11149 Comment. Math. Univ. St. Pauli 59, No. 2, 97-117 (2010). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11T24 11L05 PDF BibTeX XML Cite \textit{N. Aoki}, Comment. Math. Univ. St. Pauli 59, No. 2, 97--117 (2010; Zbl 1275.11149) OpenURL
Chan, Heng Huat; Long, Ling; Zudilin, V. V. [Zudilin, Wadim] A supercongruence motivated by the Legendre family of elliptic curves. (English) Zbl 1252.11017 Math. Notes 88, No. 4, 599-602 (2010); reprinted from Mat. Zametki 88, No. 4, 620-624 (2010). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 11A07 PDF BibTeX XML Cite \textit{H. H. Chan} et al., Math. Notes 88, No. 4, 599--602 (2010; Zbl 1252.11017) Full Text: DOI OpenURL
Sasaki, Yuta; Nishina, Satsuki; Shirase, Masaaki; Takagi, Tsuyoshi An efficient residue group multiplication for the \(\eta _{T }\) pairing over \({\mathbb F}_{3^m}\). (English) Zbl 1267.94094 Jacobson, Michael J. jun. (ed.) et al., Selected areas in cryptography. 16th annual international workshop, SAC 2009, Calgary, Alberta, Canada, August 13–14, 2009. Revised selected papers. Berlin: Springer (ISBN 978-3-642-05443-3/pbk). Lecture Notes in Computer Science 5867, 364-375 (2009). MSC: 94A60 11T71 11Y16 PDF BibTeX XML Cite \textit{Y. Sasaki} et al., Lect. Notes Comput. Sci. 5867, 364--375 (2009; Zbl 1267.94094) Full Text: DOI OpenURL
Chen, Yan-Haw; Truong, Trieu-Kien; Huang, Chien-Hsiang; Chien, Chih-Hua A lookup table decoding of systematic \((47, 24, 11)\) quadratic residue code. (English) Zbl 1170.94342 Inf. Sci. 179, No. 14, 2470-2477 (2009). MSC: 94B35 94B40 PDF BibTeX XML Cite \textit{Y.-H. Chen} et al., Inf. Sci. 179, No. 14, 2470--2477 (2009; Zbl 1170.94342) Full Text: DOI OpenURL
Sekiguchi, Jiro Studies on systems of six lines on a projective plane over a prime field. (English) Zbl 07324586 J. Sib. Fed. Univ., Math. Phys. 1, No. 2, 140-151 (2008). MSC: 51-XX 52-XX PDF BibTeX XML Cite \textit{J. Sekiguchi}, J. Sib. Fed. Univ., Math. Phys. 1, No. 2, 140--151 (2008; Zbl 07324586) Full Text: MNR OpenURL
Cao, Wei; Sun, Qi Improvements upon the Chevalley-Warning-Ax-Katz-type estimates. (English) Zbl 1201.11004 J. Number Theory 122, No. 1, 135-141 (2007). Reviewer: Pieter Moree (Bonn) MSC: 11A07 11D72 11T06 PDF BibTeX XML Cite \textit{W. Cao} and \textit{Q. Sun}, J. Number Theory 122, No. 1, 135--141 (2007; Zbl 1201.11004) Full Text: DOI OpenURL
Canner, Judith; Jones, Lenny; Purdom, Joseph Sequences of reducible \(\{0,1\}\)-polynomials modulo a prime. (English) Zbl 1100.11035 J. Integer Seq. 9, No. 3, Article 06.3.3, 13 p. (2006). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R09 11A07 11B83 11T06 PDF BibTeX XML Cite \textit{J. Canner} et al., J. Integer Seq. 9, No. 3, Article 06.3.3, 13 p. (2006; Zbl 1100.11035) Full Text: EuDML EMIS OpenURL
Kościelny, Czesław Computing in \(\text{GF}(p^m)\) and in \(\text{gff}(n^m)\) using Maple. (English) Zbl 1095.94023 Quasigroups Relat. Syst. 13, No. 2, 245-264 (2005). MSC: 94A60 68P25 68-04 11A07 11T71 PDF BibTeX XML Cite \textit{C. Kościelny}, Quasigroups Relat. Syst. 13, No. 2, 245--264 (2005; Zbl 1095.94023) OpenURL
Karim, Driss About directed unions of Artinian subrings of a von Neumann regular ring. (English) Zbl 1097.13006 J. Aust. Math. Soc. 79, No. 3, 297-304 (2005). Reviewer: Septimiu Crivei (Cluj-Napoca) MSC: 13A99 16E50 13E10 PDF BibTeX XML Cite \textit{D. Karim}, J. Aust. Math. Soc. 79, No. 3, 297--304 (2005; Zbl 1097.13006) Full Text: DOI OpenURL
Das, Pinaki Value sets of polynomials and the Cauchy-Davenport theorem. (English) Zbl 1039.11089 Finite Fields Appl. 10, No. 1, 113-122 (2004). Reviewer: Astrid Reifegerste (Hannover) MSC: 11T06 11B83 11A07 11T30 PDF BibTeX XML Cite \textit{P. Das}, Finite Fields Appl. 10, No. 1, 113--122 (2004; Zbl 1039.11089) Full Text: DOI OpenURL
Prince, Alan R. A permutation problem for finite fields. (English) Zbl 0986.51003 Jungnickel, Dieter (ed.) et al., Finite fields and applications. Proceedings of the fifth international conference on finite fields and applications \(F_q5\), University of Augsburg, Germany, August 2-6, 1999. Berlin: Springer. 409-417 (2001). Reviewer: Dimitri Leemans (Bruxelles) MSC: 51E15 11T99 PDF BibTeX XML Cite \textit{A. R. Prince}, in: Finite fields and applications. Proceedings of the fifth international conference on finite fields and applications \(F_q5\), University of Augsburg, Germany, August 2--6, 1999. Berlin: Springer. 409--417 (2001; Zbl 0986.51003) OpenURL
Jensen, Erik; Murty, M. Ram Artin’s conjecture for polynomials over finite fields. (English) Zbl 0987.11074 Bambah, R. P. (ed.) et al., Number theory. Basel: Birkhäuser. Trends in Mathematics. 167-181 (2000). Reviewer: George Greaves (Cardiff) MSC: 11T06 11A07 11N36 PDF BibTeX XML Cite \textit{E. Jensen} and \textit{M. R. Murty}, in: Number theory. Basel: Birkhäuser. 167--181 (2000; Zbl 0987.11074) OpenURL
Halbutoǧulları, A.; Koç, Ç. K. Parallel multiplication in \(\text{GF}(2^k)\) using polynomial residue arithmetic. (English) Zbl 0976.94019 Des. Codes Cryptography 20, No. 2, 155-173 (2000). MSC: 94A60 68M07 11T71 PDF BibTeX XML Cite \textit{A. Halbutoǧulları} and \textit{Ç. K. Koç}, Des. Codes Cryptography 20, No. 2, 155--173 (2000; Zbl 0976.94019) Full Text: DOI OpenURL
Ochiai, Tadashi \(l\)-independence of the trace of monodromy. (English) Zbl 0980.14014 Math. Ann. 315, No. 2, 321-340 (1999). MSC: 14F20 14F30 14G15 PDF BibTeX XML Cite \textit{T. Ochiai}, Math. Ann. 315, No. 2, 321--340 (1999; Zbl 0980.14014) OpenURL
Ponomarev, K. N. Solvable elimination of ramification in extensions of discretely valued fields. (English. Russian original) Zbl 0951.12002 Algebra Logika 37, No. 1, 63-87 (1998); translation in Algebra Logic 37, No. 1, 35-47 (1998). Reviewer: A.N.Ryaskin (Novosibirsk) MSC: 12J10 12F10 12F20 PDF BibTeX XML Cite \textit{K. N. Ponomarev}, Algebra Logika 37, No. 1, 63--87 (1998; Zbl 0951.12002); translation in Algebra Logic 37, No. 1, 35--47 (1998) Full Text: EuDML OpenURL
Dixon, Geoffrey Division algebras, Galois fields, quadratic residues. (English) Zbl 0909.17002 Acta Appl. Math. 50, No. 1-2, 111-120 (1998). Reviewer: B.Fauser (Tübingen) MSC: 17A35 12E20 11T71 94B40 PDF BibTeX XML Cite \textit{G. Dixon}, Acta Appl. Math. 50, No. 1--2, 111--120 (1998; Zbl 0909.17002) Full Text: DOI arXiv OpenURL
Hsu, Chih-Nung On certain character sums over \(\mathbb F_ q[T]\). (English) Zbl 0888.11046 Proc. Am. Math. Soc. 126, No. 3, 647-652 (1998). Reviewer: Pieter Moree (Bonn) MSC: 11T23 11A07 11L40 11T55 PDF BibTeX XML Cite \textit{C.-N. Hsu}, Proc. Am. Math. Soc. 126, No. 3, 647--652 (1998; Zbl 0888.11046) Full Text: DOI OpenURL
Sun, Qi On a formula for the number of solutions of some equations over a finite field. (Chinese) Zbl 0907.11012 Chin. Ann. Math., Ser. A 18, No. 4, 403-408 (1997). Reviewer: Pei Dingyi (Beijing) MSC: 11D79 11D45 11T99 PDF BibTeX XML Cite \textit{Q. Sun}, Chin. Ann. Math., Ser. A 18, No. 4, 403--408 (1997; Zbl 0907.11012) OpenURL
Dumitrescu, T.; Radu, N. On a theorem of A. Grothendieck. (English) Zbl 0870.12006 Stud. Cercet. Mat. 48, No. 5-6, 319-323 (1996). Reviewer: J.N.Mordeson (Omaha) MSC: 12F20 13C13 PDF BibTeX XML Cite \textit{T. Dumitrescu} and \textit{N. Radu}, Stud. Cercet. Mat. 48, No. 5--6, 319--323 (1996; Zbl 0870.12006) OpenURL
Wang, Juping Some notes on the property of power residues. (Chinese. English summary) Zbl 0866.11074 J. China Univ. Sci. Technol. 26, No. 1, 75-77 (1996). Reviewer: Pei Dingyi (Beijing) MSC: 11T30 PDF BibTeX XML Cite \textit{J. Wang}, J. China Univ. Sci. Technol. 26, No. 1, 75--77 (1996; Zbl 0866.11074) OpenURL
Sethumadhavan, M.; Ramakrishnan, T. R. A remark on inversive maximal period polynomials over the finite field \(F_p\) where \(p\) is a prime. (English) Zbl 0909.11030 Bull. Pure Appl. Sci., Sect. E, Math. Stat. 15, No. 2, 169-175 (1996). Reviewer: Zhu Yaochen (Beijing) MSC: 11K45 PDF BibTeX XML Cite \textit{M. Sethumadhavan} and \textit{T. R. Ramakrishnan}, Bull. Pure Appl. Sci. E, Math. Stat. 15, No. 2, 169--175 (1996; Zbl 0909.11030) OpenURL
Estes, Dennis R.; Kojima, Tetsuro Ireducible quadratic factors of \(x^{(q^n+1)/2}+ax+b\) over \(\mathbb{F}_q\). (English) Zbl 0894.11048 Finite Fields Appl. 2, No. 2, 204-213 (1996). Reviewer: D.Hachenberger (Augsburg) MSC: 11T06 PDF BibTeX XML Cite \textit{D. R. Estes} and \textit{T. Kojima}, Finite Fields Appl. 2, No. 2, 204--213 (1996; Zbl 0894.11048) Full Text: DOI OpenURL
Cigler, Johann Fields, rings, equations. (Körper - Ringe - Gleichungen.) (German) Zbl 0858.00002 Heidelberg: Spektrum Akademischer Verlag. viii, 302 S. (1995). Reviewer: K.Roegner (Berlin) MSC: 00A05 12-01 20-01 PDF BibTeX XML Cite \textit{J. Cigler}, Körper - Ringe - Gleichungen. Heidelberg: Spektrum Akademischer Verlag (1995; Zbl 0858.00002) OpenURL
Koike, Masao Hypergeometric series over finite fields and Apéry numbers. (English) Zbl 0784.11057 Hiroshima Math. J. 22, No. 3, 461-467 (1992). Reviewer: F.Beukers (Utrecht) MSC: 11T23 11A07 PDF BibTeX XML Cite \textit{M. Koike}, Hiroshima Math. J. 22, No. 3, 461--467 (1992; Zbl 0784.11057) OpenURL
Gilmer, Robert; Heinzer, William The family of residue fields of a zero-dimensional commutative ring. (English) Zbl 0782.13014 J. Pure Appl. Algebra 82, No. 2, 131-153 (1992). Reviewer: K.A.Brown (Glasgow) MSC: 13C05 13B30 12E99 PDF BibTeX XML Cite \textit{R. Gilmer} and \textit{W. Heinzer}, J. Pure Appl. Algebra 82, No. 2, 131--153 (1992; Zbl 0782.13014) Full Text: DOI OpenURL
Zelniker, Glenn S.; Taylor, Fred J. On the reduction in multiplicative complexity achieved by the polynomial residue number system. (English) Zbl 0774.65010 IEEE Trans. Signal Process. 40, No. 9, 2318-2320 (1992). Reviewer: G.Gallo (Catania) MSC: 65D20 65Y20 12Y05 PDF BibTeX XML Cite \textit{G. S. Zelniker} and \textit{F. J. Taylor}, IEEE Trans. Signal Process. 40, No. 9, 2318--2320 (1992; Zbl 0774.65010) Full Text: DOI OpenURL
Thomason, Robert W. The local to global principle in algebraic \(K\)-theory. (English) Zbl 0759.19004 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. I, 381-394 (1991). Reviewer: R.W.Thomason MSC: 19E08 14C35 18F25 PDF BibTeX XML Cite \textit{R. W. Thomason}, in: Proceedings of the international congress of mathematicians (ICM), August 21-29, 1990, Kyoto, Japan. Volume I. Tokyo etc.: Springer-Verlag. 381--394 (1991; Zbl 0759.19004) OpenURL
Helou, Charles Non Galois ramification theory of local fields. (English) Zbl 0702.11081 Algebra Berichte, 64. München: Verlag Reinhard Fischer. 21 p. (1990). Reviewer: F.Laubie MSC: 11S15 11-02 PDF BibTeX XML Cite \textit{C. Helou}, Non Galois ramification theory of local fields. München: Verlag Reinhard Fischer (1990; Zbl 0702.11081) OpenURL
Li, Fuzhong A theorem on the conjecture of Golomb. (Chinese. English summary) Zbl 0717.11054 J. Northeast Norm. Univ., Nat. Sci. Ed. 1989, No. 3, 9-12 (1989). Reviewer: Pei Dingyi (Beijing) MSC: 11T30 11A07 PDF BibTeX XML Cite \textit{F. Li}, J. Northeast Norm. Univ., Nat. Sci. Ed. 1989, No. 3, 9--12 (1989; Zbl 0717.11054) OpenURL
Sun, Qi; Li, Shuguang On primitive roots modulo \(p^{\ell}\). (English) Zbl 0673.10001 Chin. Sci. Bull. 34, No. 9, 714-715 (1989). Reviewer: Pei Dingyi MSC: 11A07 11T55 PDF BibTeX XML Cite \textit{Q. Sun} and \textit{S. Li}, Chin. Sci. Bull. 34, No. 9, 714--715 (1989; Zbl 0673.10001) OpenURL
Donovan, Timothy P. Matrix squares over GF(q), q odd. (English) Zbl 0692.15009 Combinatorics, graph theory, and computing, Proc. 19th Southeast. Conf., Boca Raton/Fla. 1988, Congr. Numerantium 66, 113-122 (1988). Reviewer: J.H.Hodges MSC: 15A24 15B33 11T06 PDF BibTeX XML OpenURL
Huckaba, Sam Reduction numbers for ideals of higher analytic spread. (English) Zbl 0636.13001 Math. Proc. Camb. Philos. Soc. 102, 49-57 (1987). Reviewer: W.Heinzer MSC: 13A15 13H15 13E15 PDF BibTeX XML Cite \textit{S. Huckaba}, Math. Proc. Camb. Philos. Soc. 102, 49--57 (1987; Zbl 0636.13001) Full Text: DOI OpenURL
Li, Fuzhong On the conjecture of Golomb. II. (English) Zbl 0632.12021 J. Northeast Norm. Univ., Nat. Sci. Ed. 1987, No. 3, 9-13 (1987). Reviewer: Minggao Lu (Shanghai) MSC: 11T30 11A07 PDF BibTeX XML Cite \textit{F. Li}, J. Northeast Norm. Univ., Nat. Sci. Ed. 1987, No. 3, 9--13 (1987; Zbl 0632.12021) OpenURL
Hyodo, Osamu On the Hodge-Tate decomposition in the imperfect residue field case. (English) Zbl 0571.14004 J. Reine Angew. Math. 365, 97-113 (1986). MSC: 14C30 14K05 14G15 PDF BibTeX XML Cite \textit{O. Hyodo}, J. Reine Angew. Math. 365, 97--113 (1986; Zbl 0571.14004) Full Text: DOI Crelle EuDML OpenURL
Cohen, Stephen D. Pairs of primitive roots. (English) Zbl 0581.10021 Mathematika 32, 276-285 (1985). Reviewer: D.A.Burgess MSC: 11N69 11T30 PDF BibTeX XML Cite \textit{S. D. Cohen}, Mathematika 32, 276--285 (1985; Zbl 0581.10021) Full Text: DOI OpenURL
Cohen, Stephen D. Consecutive primitive roots in a finite field. II. (English) Zbl 0579.10021 Proc. Am. Math. Soc. 94, 605-611 (1985). Reviewer: D.A.Burgess MSC: 11N69 11T30 PDF BibTeX XML Cite \textit{S. D. Cohen}, Proc. Am. Math. Soc. 94, 605--611 (1985; Zbl 0579.10021) Full Text: DOI OpenURL
Cohen, Stephen D. Primitive roots and powers among polynomial values over finite fields. (English) Zbl 0524.12012 J. Reine Angew. Math. 350, 137-151 (1984). MSC: 11T06 11L40 11A07 11A15 11T30 PDF BibTeX XML Cite \textit{S. D. Cohen}, J. Reine Angew. Math. 350, 137--151 (1984; Zbl 0524.12012) Full Text: DOI Crelle EuDML OpenURL
Akyildiz, E.; Carrell, J. B. Zeros of holomorphic vector fields and the Gysin homomorphism. (English) Zbl 0522.55015 Singularities, Summer Inst., Arcata/Calif. 1981, Proc. Symp. Pure Math. 40, Part 1, 47-54 (1983). MSC: 55R25 14L30 32M05 32L05 PDF BibTeX XML OpenURL
Pellegrino, Giuseppe Sulle sostituzioni lineari, sui campi finiti di ordine dispari, che conservano oppure scambiano il carattere quadratico degli elementi trasformati. (Italian) Zbl 0502.12019 Boll. Unione Mat. Ital., VI. Ser., B 1, 211-223 (1982). MSC: 11T55 11N69 PDF BibTeX XML Cite \textit{G. Pellegrino}, Boll. Unione Mat. Ital., VI. Ser., B 1, 211--223 (1982; Zbl 0502.12019) OpenURL
Guerra, L.; Ughi, E. [Cecconi, G.; Bicocchi, R.] On the distribution of Legendre symbols in Galois fields. (Appendix by G. Cecconi and R. Bicocchi). (English) Zbl 0502.12018 Discrete Math. 42, 197-206, 206-208 (1982). MSC: 11T55 11N69 PDF BibTeX XML Cite \textit{L. Guerra} and \textit{E. Ughi}, Discrete Math. 42, 197--206, 206--208 (1982; Zbl 0502.12018) Full Text: DOI OpenURL
Grytczuk, Aleksander; Tropak, Bogdan On the equation \(phi_ n(\)x,y)=0 in the \(Z_ p\) field. (English) Zbl 0491.10002 Zesz. Nauk, Wyzsza Szk. Inz. Im. Jurija Gagarina Zielonej Gorze 55, Inst. Mat. Fiz., Mat. Fiz. 6, 15-18 (1981). MSC: 11A07 11T99 PDF BibTeX XML OpenURL
Maazen, Hendrik; Stienstra, Jan A presentation for \(K_2\) of split radical pairs. (English) Zbl 0393.18013 J. Pure Appl. Algebra 10(1977), 271-294 (1978). MSC: 18F25 13D15 PDF BibTeX XML Cite \textit{H. Maazen} and \textit{J. Stienstra}, J. Pure Appl. Algebra 10, 271--294 (1978; Zbl 0393.18013) Full Text: DOI OpenURL
Gregory, Robert Todd; Matula, David W. Base conversion in residue number systems. (English) Zbl 0368.68047 BIT, Nord. Tidskr. Inf.-behandl. 17, 286-302 (1977). MSC: 68W99 11T55 12-04 11A07 11-04 PDF BibTeX XML Cite \textit{R. T. Gregory} and \textit{D. W. Matula}, BIT, Nord. Tidskr. Inf.-behandl. 17, 286--302 (1977; Zbl 0368.68047) Full Text: DOI OpenURL
Stepanov, S. A. Equations over finite fields. (English) Zbl 0362.12015 Math. Notes 21, 147-152 (1977). MSC: 11T06 11A07 12-03 PDF BibTeX XML Cite \textit{S. A. Stepanov}, Math. Notes 21, 147--152 (1977; Zbl 0362.12015) Full Text: DOI OpenURL
Dem’yanov, V. B. Paare von quadratischen Formen über einem perfekten, diskret bewerteten Körper mit endlichem Restklassenkörper. (Russian) Zbl 0071.27203 Izv. Akad. Nauk SSSR, Ser. Mat. 20, 307-324 (1956). Reviewer: Karl Prachar (Wien) MSC: 11E08 PDF BibTeX XML Cite \textit{V. B. Dem'yanov}, Izv. Akad. Nauk SSSR, Ser. Mat. 20, 307--324 (1956; Zbl 0071.27203) OpenURL
Carlitz, Leonard Distribution of primitive roots in a finite field. (English) Zbl 0052.03803 Q. J. Math. Oxf. II. Ser. 4, 4-10 (1953). Reviewer: T. Szele (Debrecen) MSC: 11N69 11T99 11A15 PDF BibTeX XML Cite \textit{L. Carlitz}, Q. J. Math., Oxf. II. Ser. 4, 4--10 (1953; Zbl 0052.03803) Full Text: DOI OpenURL
Carlitz, Leonard Primitive roots in a finite field. (English) Zbl 0048.27302 Trans. Am. Math. Soc. 73, 373-382 (1952). Reviewer: Hans-Egon Richert MSC: 11A07 11T30 11T24 PDF BibTeX XML Cite \textit{L. Carlitz}, Trans. Am. Math. Soc. 73, 373--382 (1952; Zbl 0048.27302) Full Text: DOI OpenURL
Carlitz, Leonard Some problems involving primitive roots in a finite field. (English) Zbl 0048.27301 Proc. Natl.. Acad. Sci. USA 38, 314-318 (1952); correction 38, 618 (1952). Reviewer: Hans-Egon Richert MSC: 11A07 11T30 11D45 PDF BibTeX XML OpenURL
Carlitz, Leonard On certain higher congruences. (English) Zbl 0013.05204 Bull. Am. Math. Soc. 41, 907-914 (1935). Reviewer: B. L. van der Waerden (Leipzig) MSC: 11A07 11T06 PDF BibTeX XML Cite \textit{L. Carlitz}, Bull. Am. Math. Soc. 41, 907--914 (1935; Zbl 0013.05204) Full Text: DOI OpenURL