Křížek, Michal; Somer, Lawrence Mathematical aspects of paradoxes in cosmology. Can mathematics explain the contemporary cosmological crisis? (English) Zbl 07746995 Cham: Springer (ISBN 978-3-031-31767-5/hbk; 978-3-031-31770-5/pbk; 978-3-031-31768-2/ebook). xvi, 264 p. (2023). MSC: 83F05 PDFBibTeX XMLCite \textit{M. Křížek} and \textit{L. Somer}, Mathematical aspects of paradoxes in cosmology. Can mathematics explain the contemporary cosmological crisis?. Cham: Springer (2023; Zbl 07746995) Full Text: DOI
Somer, Lawrence; Křížek, Michal Generalization of a theorem of Bruckman on Dickson pseudoprimes. (English) Zbl 1512.11024 Fibonacci Q. 60, No. 4, 357-361 (2022). Reviewer: Florian Luca (Johannesburg) MSC: 11B39 11A51 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 60, No. 4, 357--361 (2022; Zbl 1512.11024) Full Text: Link
Somer, Lawrence; Křížek, Michal Frobenius, Lucas, and Dickson pseudoprimes. (English) Zbl 1512.11023 Fibonacci Q. 60, No. 4, 325-343 (2022). Reviewer: Florian Luca (Johannesburg) MSC: 11B39 11A51 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 60, No. 4, 325--343 (2022; Zbl 1512.11023) Full Text: Link
Čejchan, Antonín; Křížek, Michal; Somer, Lawrence On remarkable properties of primes near factorials and primorials. (English) Zbl 1483.11009 J. Integer Seq. 25, No. 1, Article 22.1.4, 11 p. (2022). MSC: 11A41 11N05 PDFBibTeX XMLCite \textit{A. Čejchan} et al., J. Integer Seq. 25, No. 1, Article 22.1.4, 11 p. (2022; Zbl 1483.11009) Full Text: Link
Křížek, Michal; Somer, Lawrence; Šolcová, Alena From great discoveries in number theory to applications. (English) Zbl 1486.11001 Cham: Springer (ISBN 978-3-030-83898-0/hbk; 978-3-030-83901-7/pbk; 978-3-030-83899-7/ebook). xv, 337 p. (2021). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 00A08 00A09 11Zxx 11Yxx 94A60 PDFBibTeX XMLCite \textit{M. Křížek} et al., From great discoveries in number theory to applications. Cham: Springer (2021; Zbl 1486.11001) Full Text: DOI
Somer, Lawrence; Křížek, Michal Second-order linear recurrences having arbitrarily large defect modulo \(p\). (English) Zbl 1483.11033 Fibonacci Q. 59, No. 2, 108-131 (2021). MSC: 11B39 11A07 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 59, No. 2, 108--131 (2021; Zbl 1483.11033) Full Text: Link
Somer, Lawrence; Křížek, Michal Iteration of certain arithmetical functions of particular Lucas sequences. (English) Zbl 1467.11026 Fibonacci Q. 58, No. 1, 55-69 (2020). MSC: 11B50 11B39 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 58, No. 1, 55--69 (2020; Zbl 1467.11026) Full Text: Link
Jones, Lenny; Somer, Lawrence Primefree shifted binary linear recurrence sequences. (English) Zbl 1419.11028 Fibonacci Q. 57, No. 1, 51-67 (2019). MSC: 11B39 PDFBibTeX XMLCite \textit{L. Jones} and \textit{L. Somer}, Fibonacci Q. 57, No. 1, 51--67 (2019; Zbl 1419.11028) Full Text: Link
Křížek, Michal; Somer, Lawrence; Markl, Martin; Kowalski, Oldřich; Pudlák, Pavel; Vrkoč, Ivo Abel Prize. The highest award for mathematics. (Abelova cena. Nejvyšší ocenění za matematiku.) (SC) Zbl 1449.01001 Prague: Academia (ISBN 978-80-200-2842-6). 220 p. (2018). Reviewer: Jan Brandts (Amsterdam) MSC: 01-01 01A65 01A70 PDFBibTeX XMLCite \textit{M. Křížek} et al., Abelova cena. Nejvyšší ocenění za matematiku (SC). Prague: Academia (2018; Zbl 1449.01001)
Somer, Lawrence; Křížek, Michal Nondefective integers with respect to certain Lucas sequences of the second kind. (English) Zbl 1412.11025 Integers 18, Paper A35, 13 p. (2018). MSC: 11B39 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Integers 18, Paper A35, 13 p. (2018; Zbl 1412.11025) Full Text: Link
Jones, Lenny; Somer, Lawrence Primes in shifted sums of Lucas sequences. (English) Zbl 1412.11024 Integers 17, Paper A52, 9 p. (2017). MSC: 11B39 11A41 PDFBibTeX XMLCite \textit{L. Jones} and \textit{L. Somer}, Integers 17, Paper A52, 9 p. (2017; Zbl 1412.11024) Full Text: Link
Somer, Lawrence; Křížek, Michal On moduli for which certain second-order linear recurrences contain a complete system of residues modulo \(m\). (English) Zbl 1401.11049 Fibonacci Q. 55, No. 3, 209-228 (2017). MSC: 11B39 11A07 11B50 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 55, No. 3, 209--228 (2017; Zbl 1401.11049) Full Text: Link
Somer, Lawrence; Křížek, Michal Identically distributed second-order linear recurrences modulo \(p\). II. (English) Zbl 1400.11054 Fibonacci Q. 54, No. 3, 217-234 (2016). MSC: 11B39 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 54, No. 3, 217--234 (2016; Zbl 1400.11054) Full Text: Link
Křížek, Michal; Somer, Lawrence The Abel Prize awarded for the proof of Fermat’s last theorem. (Czech) Zbl 1363.01011 Pokroky Mat. Fyz. Astron. 61, No. 3, 169-188 (2016). Reviewer: Sergey Korotov (Bergen) MSC: 01A65 01A70 PDFBibTeX XMLCite \textit{M. Křížek} and \textit{L. Somer}, Pokroky Mat. Fyz. Astron. 61, No. 3, 169--188 (2016; Zbl 1363.01011) Full Text: Link
Křížek, M.; Somer, L. Excessive extrapolations in cosmology. (English) Zbl 1353.83034 Gravit. Cosmol. 22, No. 3, 270-280 (2016). MSC: 83F05 85A40 83C05 85A04 PDFBibTeX XMLCite \textit{M. Křížek} and \textit{L. Somer}, Gravit. Cosmol. 22, No. 3, 270--280 (2016; Zbl 1353.83034) Full Text: DOI
Somer, Lawrence; Křížek, Michal Identically distributed second-order linear recurrences modulo \(p\). (English) Zbl 1397.11047 Fibonacci Q. 53, No. 4, 290-312 (2015). MSC: 11B39 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 53, No. 4, 290--312 (2015; Zbl 1397.11047) Full Text: Link
Somer, Lawrence; Křížek, Michal On Lehmer superpseudoprimes. (English) Zbl 1397.11012 Fibonacci Q. 53, No. 3, 206-212 (2015). MSC: 11A51 11B39 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 53, No. 3, 206--212 (2015; Zbl 1397.11012) Full Text: Link
Somer, Lawrence; Křížek, Michal On primes in Lucas sequences. (English) Zbl 1396.11040 Fibonacci Q. 53, No. 1, 2-23 (2015). MSC: 11B39 11A41 11A51 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 53, No. 1, 2--23 (2015; Zbl 1396.11040) Full Text: Link
Křížek, Michal; Somer, Lawrence Why quintic polynomial equations are not solvable in radicals. (English) Zbl 1374.12005 Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Prague: Czech Academy of Sciences, Institute of Mathematics (ISBN 978-80-85823-65-3). 125-131 (2015). MSC: 12F10 13B05 65H05 PDFBibTeX XMLCite \textit{M. Křížek} and \textit{L. Somer}, in: Proceedings of the international conference `Applications of mathematics', Prague, Czech Republic, November 18--21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Prague: Czech Academy of Sciences, Institute of Mathematics. 125--131 (2015; Zbl 1374.12005) Full Text: Link
Deng, Guixin; Somer, Lawrence On the symmetric digraphs from the \(k\)th power mapping on finite commutative rings. (English) Zbl 1312.05061 Discrete Math. Algorithms Appl. 7, No. 1, Article ID 1450064, 15 p. (2015). MSC: 05C20 05C25 11T99 PDFBibTeX XMLCite \textit{G. Deng} and \textit{L. Somer}, Discrete Math. Algorithms Appl. 7, No. 1, Article ID 1450064, 15 p. (2015; Zbl 1312.05061) Full Text: DOI
Somer, Lawrence; Křížek, Michal Fixed points and upper bounds for the rank of appearance in Lucas sequences. (English) Zbl 1352.11024 Fibonacci Q. 51, No. 4, 291-306 (2013). MSC: 11B39 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 51, No. 4, 291--306 (2013; Zbl 1352.11024) Full Text: Link
Somer, Lawrence; Křížek, Michal Prime Lehmer and Lucas numbers with composite indices. (English) Zbl 1291.11044 Fibonacci Q. 51, No. 3, 194-214 (2013). Reviewer: Florian Luca (Morelia) MSC: 11B39 11A41 11A51 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 51, No. 3, 194--214 (2013; Zbl 1291.11044) Full Text: Link
Křížek, Michal; Markl, Martin; Somer, Lawrence The 2013 Abel Prize for Pierre Deligne for fundamental works on connecting algebra and geometry. (Czech) Zbl 1289.01030 Pokroky Mat. Fyz. Astron. 58, No. 4, 265-273 (2013). Reviewer: František Katrnoška (Praha) MSC: 01A70 11-03 PDFBibTeX XMLCite \textit{M. Křížek} et al., Pokroky Mat. Fyz. Astron. 58, No. 4, 265--273 (2013; Zbl 1289.01030) Full Text: Link
Somer, Lawrence; Křížek, Michal Easy criteria to determine if a prime divides certain second-order recurrences. (English) Zbl 1275.11033 Fibonacci Q. 51, No. 1, 3-12 (2013). MSC: 11B39 11E16 11R04 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 51, No. 1, 3--12 (2013; Zbl 1275.11033) Full Text: Link
Křížek, Michal; Somer, Lawrence; Markl, Martin; Kowalski, Oldřich; Pudlák, Pavel; Vrkoč, Ivo The first ten Abel Prizes for mathematics. (Prvních deset Abelových cen za matematiku.) (Czech) Zbl 1274.01048 Prague: The Union of Czech Mathematicians and Physicists (ISBN 978-80-7015-014-6). 88 p. (2013). Reviewer: Jakub Šístek (Praha) MSC: 01A61 PDFBibTeX XMLCite \textit{M. Křížek} et al., Prvních deset Abelových cen za matematiku (Czech). Prague: The Union of Czech Mathematicians and Physicists (2013; Zbl 1274.01048) Full Text: Link
Somer, Lawrence My twelve years of collaboration with Michal Křížek on number theory. (English) Zbl 1313.11001 Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-60-8/pbk). 267-277 (2012). MSC: 11-02 11A41 05C20 01A70 PDFBibTeX XMLCite \textit{L. Somer}, in: Proceedings of the international conference `Applications of mathematics', Prague, Czech Republic, May 2--5, 2012. In honor of the 60th birthday of Michal Křížek. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 267--277 (2012; Zbl 1313.11001) Full Text: Link
Somer, Lawrence; Křížek, Michal Power digraphs modulo \(n\) are symmetric of order \(M\) if and only if \(M\) is square free. (English) Zbl 1261.05036 Fibonacci Q. 50, No. 3, 196-206 (2012). MSC: 05C20 11A07 11A15 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 50, No. 3, 196--206 (2012; Zbl 1261.05036) Full Text: Link
Somer, L.; Křížek, M. The structure of digraphs associated with the congruence \(x^k\equiv y \pmod n\). (English) Zbl 1249.11006 Czech. Math. J. 61, No. 2, 337-358 (2011). MSC: 11A07 05C20 11A51 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Czech. Math. J. 61, No. 2, 337--358 (2011; Zbl 1249.11006) Full Text: DOI EuDML
Husnine, S. M.; Ahmad, Uzma; Somer, Lawrence On symmetries of power digraphs. (English) Zbl 1251.05066 Util. Math. 85, 257-271 (2011). Reviewer: Michael Hager (Leonberg) MSC: 05C20 11B50 05C25 PDFBibTeX XMLCite \textit{S. M. Husnine} et al., Util. Math. 85, 257--271 (2011; Zbl 1251.05066)
Křížek, Michal; Luca, Florian; Shparlinski, Igor E.; Somer, Lawrence On the complexity of testing elite primes. (English) Zbl 1226.11013 J. Integer Seq. 14, No. 1, Article 11.1.2, 5 p. (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11A41 PDFBibTeX XMLCite \textit{M. Křížek} et al., J. Integer Seq. 14, No. 1, Article 11.1.2, 5 p. (2011; Zbl 1226.11013) Full Text: EuDML EMIS
Somer, Lawrence; Cooper, Curtis Lucas (\(a_{1}, a_{2}, \ldots , a_{k} = \pm 1\)) pseudoprimes. (English) Zbl 1222.11009 Fibonacci Q. 48, No. 2, 98-113 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11A51 11B39 PDFBibTeX XMLCite \textit{L. Somer} and \textit{C. Cooper}, Fibonacci Q. 48, No. 2, 98--113 (2010; Zbl 1222.11009) Full Text: Link
Křížek, M.; Somer, L. On peculiar Šindel sequences. (English) Zbl 1209.11004 JP J. Algebra Number Theory Appl. 17, No. 2, 129-140 (2010). Reviewer: László Tóth (Pécs) MSC: 11A05 11A07 PDFBibTeX XMLCite \textit{M. Křížek} and \textit{L. Somer}, JP J. Algebra Number Theory Appl. 17, No. 2, 129--140 (2010; Zbl 1209.11004) Full Text: Link
Cooper, Curtis; Somer, Lawrence Lucas \((a_1,a_2,\dots,a_k=1)\) sequences and pseudoprimes. (English) Zbl 1208.11023 Congr. Numerantium 201, 55-76 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11B39 11A51 PDFBibTeX XMLCite \textit{C. Cooper} and \textit{L. Somer}, Congr. Numerantium 201, 55--76 (2010; Zbl 1208.11023)
Somer, Lawrence On recurrences over algebraic number fields containing a \(d\)th root of unity. (English) Zbl 1203.11016 Congr. Numerantium 201, 11-21 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11B37 11R18 11B39 PDFBibTeX XMLCite \textit{L. Somer}, Congr. Numerantium 201, 11--21 (2010; Zbl 1203.11016)
Carlip, Walter; Somer, Lawrence Stability classes of second-order linear recurrences modulo \(2^k\). II. (English) Zbl 1197.11023 Rocky Mt. J. Math. 40, No. 1, 85-116 (2010). Reviewer: Robert F. Tichy (Graz) MSC: 11B39 11B50 11B37 11K36 PDFBibTeX XMLCite \textit{W. Carlip} and \textit{L. Somer}, Rocky Mt. J. Math. 40, No. 1, 85--116 (2010; Zbl 1197.11023) Full Text: DOI
Somer, Lawrence Period patterns of certain \(k\)th-order linear recurrences over a finite field. (English) Zbl 1263.11019 Congr. Numerantium 194, 219-224 (2009). Reviewer: Krassimir Atanassov (Sofia) MSC: 11B37 11B50 11T06 PDFBibTeX XMLCite \textit{L. Somer}, Congr. Numerantium 194, 219--224 (2009; Zbl 1263.11019)
Somer, Lawrence Generalization of a theorem of Jarden. (English) Zbl 1275.11032 Congr. Numerantium 194, 213-217 (2009). Reviewer: Olaf Ninnemann (Berlin) MSC: 11B39 11B37 PDFBibTeX XMLCite \textit{L. Somer}, Congr. Numerantium 194, 213--217 (2009; Zbl 1275.11032)
Luca, Florian; Somer, Lawrence A remark on a question of Rotkiewicz. (English) Zbl 1282.11124 Congr. Numerantium 194, 173-176 (2009). Reviewer: Eira J. Scourfield (Egham) MSC: 11N25 PDFBibTeX XMLCite \textit{F. Luca} and \textit{L. Somer}, Congr. Numerantium 194, 173--176 (2009; Zbl 1282.11124)
Somer, Lawrence Lucas pseudoprimes of special types. (English) Zbl 1220.11006 Fibonacci Q. 46-47(2008/2009), No. 3, 198-206 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11A51 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 46--47, No. 3, 198--206 (2009; Zbl 1220.11006)
Somer, Lawrence; Křížek, Michal On symmetric digraphs of the congruence \(x^k \equiv y \pmod n\). (English) Zbl 1208.05041 Discrete Math. 309, No. 8, 1999-2009 (2009). MSC: 05C20 05C25 05A05 11A07 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Discrete Math. 309, No. 8, 1999--2009 (2009; Zbl 1208.05041) Full Text: DOI
Katrnoška, František; Křížek, Michal; Somer, Lawrence Magic squares and sudoku. (Czech) Zbl 1265.05079 Pokroky Mat. Fyz. Astron. 53, No. 2, 113-124 (2008). Reviewer: Marie Kopáčková (Praha) MSC: 05B15 00A08 PDFBibTeX XMLCite \textit{F. Katrnoška} et al., Pokroky Mat. Fyz. Astron. 53, No. 2, 113--124 (2008; Zbl 1265.05079)
Křížek, Michal; Somer, Lawrence Euclidean primes have the minimum number of primitive roots. (English) Zbl 1162.11007 JP J. Algebra Number Theory Appl. 12, No. 1, 121-127 (2008). Reviewer: Michael Coons (Waterloo) MSC: 11A41 11A07 PDFBibTeX XMLCite \textit{M. Křížek} and \textit{L. Somer}, JP J. Algebra Number Theory Appl. 12, No. 1, 121--127 (2008; Zbl 1162.11007) Full Text: Link
Somer, Lawrence Special multipliers of \(k\)th-order linear recurrences modulo \(p^r\). (English) Zbl 1233.11015 Fibonacci Q. 45, No. 1, 10-21 (2007). MSC: 11B37 11B50 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 45, No. 1, 10--21 (2007; Zbl 1233.11015) Full Text: Link
Křížek, Michal; Luca, Florian; Somer, Lawrence From the Fermat numbers to geometry. (Spanish) Zbl 1191.01001 Gac. R. Soc. Mat. Esp. 10, No. 2, 471-483 (2007). MSC: 01A05 11-03 51-03 PDFBibTeX XMLCite \textit{M. Křížek} et al., Gac. R. Soc. Mat. Esp. 10, No. 2, 471--483 (2007; Zbl 1191.01001)
Křížek, Michal; Šolcová, Alena; Somer, Lawrence Construction of Šindel sequences. (English) Zbl 1174.11029 Commentat. Math. Univ. Carol. 48, No. 3, 373-388 (2007). MSC: 11B83 11A07 01A40 PDFBibTeX XMLCite \textit{M. Křížek} et al., Commentat. Math. Univ. Carol. 48, No. 3, 373--388 (2007; Zbl 1174.11029) Full Text: EuDML EMIS
Somer, Lawrence; Křížek, Michal On semiregular digraphs of the congruence \(x^k\equiv y\pmod n\). (English) Zbl 1174.05058 Commentat. Math. Univ. Carol. 48, No. 1, 41-58 (2007). MSC: 05C20 05C25 11A07 11A15 20K01 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Commentat. Math. Univ. Carol. 48, No. 1, 41--58 (2007; Zbl 1174.05058) Full Text: EuDML EMIS
Carlip, W.; Somer, L. Square-free Lucas \(d\)-pseudoprimes and Carmichael-Lucas numbers. (English) Zbl 1174.11016 Czech. Math. J. 57, No. 1, 447-463 (2007). MSC: 11B39 11A51 11B37 PDFBibTeX XMLCite \textit{W. Carlip} and \textit{L. Somer}, Czech. Math. J. 57, No. 1, 447--463 (2007; Zbl 1174.11016) Full Text: DOI EuDML
Carlip, Walter; Somer, Lawrence Bounds for frequencies of residues of second-order recurrences modulo \(p^r\). (English) Zbl 1174.11014 Math. Bohem. 132, No. 2, 137-175 (2007). MSC: 11B37 11A25 11A51 11B39 PDFBibTeX XMLCite \textit{W. Carlip} and \textit{L. Somer}, Math. Bohem. 132, No. 2, 137--175 (2007; Zbl 1174.11014) Full Text: EuDML EMIS
Carlip, Walter; Somer, Lawrence Primitive Lucas \(d\)-pseudoprimes and Carmichael-Lucas numbers. (English) Zbl 1187.11007 Colloq. Math. 108, No. 1, 73-92 (2007). MSC: 11B39 11Y11 11A51 PDFBibTeX XMLCite \textit{W. Carlip} and \textit{L. Somer}, Colloq. Math. 108, No. 1, 73--92 (2007; Zbl 1187.11007) Full Text: DOI
Somer, Lawrence Second-order linear recurrences of composite numbers. (English) Zbl 1161.11310 Fibonacci Q. 44, No. 4, 358-361 (2006). Reviewer: Joachim Piehler (Merseburg) MSC: 11B39 11B37 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 44, No. 4, 358--361 (2006; Zbl 1161.11310)
Luca, Florian; Somer, Lawrence Lucas sequences for which \(4\mid\varphi(| u_n|)\) for almost all \(n\). (English) Zbl 1204.11042 Fibonacci Q. 44, No. 3, 249-263 (2006). MSC: 11B39 11A25 11B37 PDFBibTeX XMLCite \textit{F. Luca} and \textit{L. Somer}, Fibonacci Q. 44, No. 3, 249--263 (2006; Zbl 1204.11042) Full Text: Link
Somer, Lawrence; Křížek, Michal Structure of digraphs associated with quadratic congruences with composite moduli. (English) Zbl 1161.05323 Discrete Math. 306, No. 18, 2174-2185 (2006). MSC: 05C20 05C62 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Discrete Math. 306, No. 18, 2174--2185 (2006; Zbl 1161.05323) Full Text: DOI
Somer, Lawrence Lucas sequences \(\{U_k\}\) for which \(U_{2p}\) and \(U_p\) are pseudoprimes for almost all primes \(p\). (English) Zbl 1133.11010 Fibonacci Q. 44, No. 1, 7-12 (2006). MSC: 11B39 11A51 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 44, No. 1, 7--12 (2006; Zbl 1133.11010)
Křížek, Michal; Luca, Florian; Somer, Lawrence Arithmetic properties of Fibonacci numbers. (Czech) Zbl 1265.11024 Pokroky Mat. Fyz. Astron. 50, No. 2, 127-140 (2005). Reviewer: Marie Kopáčková (Praha) MSC: 11B39 PDFBibTeX XMLCite \textit{M. Křížek} et al., Pokroky Mat. Fyz. Astron. 50, No. 2, 127--140 (2005; Zbl 1265.11024)
Somer, Lawrence; Křížek, Michal On a connection of number theory with graph theory. (English) Zbl 1080.11004 Czech. Math. J. 54, No. 2, 465-485 (2004). MSC: 11A07 05C20 11A51 PDFBibTeX XMLCite \textit{L. Somer} and \textit{M. Křížek}, Czech. Math. J. 54, No. 2, 465--485 (2004; Zbl 1080.11004) Full Text: DOI EuDML
Křížek, Michal; Somer, Lawrence Sophie Germain little suns. (English) Zbl 1108.11002 Math. Slovaca 54, No. 5, 433-442 (2004). MSC: 11A07 11A51 05C20 20K01 PDFBibTeX XMLCite \textit{M. Křížek} and \textit{L. Somer}, Math. Slovaca 54, No. 5, 433--442 (2004; Zbl 1108.11002) Full Text: EuDML
Somer, Lawrence On superpseudoprimes. (English) Zbl 1108.11012 Math. Slovaca 54, No. 5, 443-451 (2004). MSC: 11A51 PDFBibTeX XMLCite \textit{L. Somer}, Math. Slovaca 54, No. 5, 443--451 (2004; Zbl 1108.11012) Full Text: EuDML
Somer, Lawrence A further note on Lucasian numbers. (English) Zbl 1066.11007 Howard, Frederic T. (ed.), Applications of Fibonacci numbers. Volume 9. Proceedings of the 10th international research conference on Fibonacci numbers and their applications, Northern Arizona University, Flagstaff, AZ, USA, June 24–28, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1938-6 ). 225-234 (2004). Reviewer: Andreas N. Philippou (Patras) MSC: 11B39 PDFBibTeX XMLCite \textit{L. Somer}, in: Applications of Fibonacci numbers. Volume 9. Proceedings of the 10th international research conference on Fibonacci numbers and their applications, Northern Arizona University, Flagstaff, AZ, USA, June 24--28, 2002. Dordrecht: Kluwer Academic Publishers. 225--234 (2004; Zbl 1066.11007)
Somer, Lawrence; Carlip, Walter \(p\)-stability of degenerate second-order recurrences. (English) Zbl 1057.11010 Fibonacci Q. 42, No. 2, 114-127 (2004). Reviewer: N. Robbins (San Francisco) MSC: 11B39 11A25 11A51 PDFBibTeX XMLCite \textit{L. Somer} and \textit{W. Carlip}, Fibonacci Q. 42, No. 2, 114--127 (2004; Zbl 1057.11010)
Křížek, Michal; Somer, Lawrence 17 necessary and sufficient conditions for the primality of Fermat numbers. (English) Zbl 1227.11029 Acta Math. Inform. Univ. Ostrav. 11, No. 1, 73-79 (2003). MSC: 11A51 11A07 05C20 PDFBibTeX XMLCite \textit{M. Křížek} and \textit{L. Somer}, Acta Math. Inform. Univ. Ostrav. 11, No. 1, 73--79 (2003; Zbl 1227.11029) Full Text: EuDML Link
Křížek, Michal; Somer, Lawrence Pseudoprimes. (English) Zbl 1053.11005 Pokroky Mat. Fyz. Astron. 48, No. 2, 143-151 (2003). Reviewer: Jiří Rákosník (Praha) MSC: 11A51 PDFBibTeX XMLCite \textit{M. Křížek} and \textit{L. Somer}, Pokroky Mat. Fyz. Astron. 48, No. 2, 143--151 (2003; Zbl 1053.11005)
Carlip, Walter; Somer, Lawrence The existence of special multipliers of second-order recurrence sequences. (English) Zbl 1038.11007 Fibonacci Q. 41, No. 2, 156-168 (2003). Reviewer: Joachim Piehler (Merseburg) MSC: 11B37 11B50 PDFBibTeX XMLCite \textit{W. Carlip} and \textit{L. Somer}, Fibonacci Q. 41, No. 2, 156--168 (2003; Zbl 1038.11007)
Křížek, Michal; Luca, Florian; Somer, Lawrence On the convergence of series of reciprocals of primes related to the Fermat numbers. (English) Zbl 1026.11011 J. Number Theory 97, No. 1, 95-112 (2002). Reviewer: Solomon Marcus (Bucureşti) MSC: 11A51 11N13 PDFBibTeX XMLCite \textit{M. Křížek} et al., J. Number Theory 97, No. 1, 95--112 (2002; Zbl 1026.11011) Full Text: DOI
Somer, Lawrence Generalization of a theorem of Drobot. (English) Zbl 1035.11002 Fibonacci Q. 40, No. 5, 435-437 (2002). Reviewer: Solomon Marcus (Bucureşti) MSC: 11A51 11B39 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 40, No. 5, 435--437 (2002; Zbl 1035.11002)
Křížek, Michal; Luca, Florian; Somer, Lawrence [Šolcová, Alena] 17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová. (English) Zbl 1010.11002 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. 9. New York, NY: Springer. xxiv, 257 p. (2001). Reviewer: Bernd Richter (Berlin) MSC: 11-01 11A51 11A07 PDFBibTeX XMLCite \textit{M. Křížek} et al., 17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová. New York, NY: Springer (2001; Zbl 1010.11002)
Křížek, Michal; Somer, Lawrence A necessary and sufficient condition for the primality of Fermat numbers. (English) Zbl 0993.11002 Math. Bohem. 126, No. 3, 541-549 (2001). MSC: 11A41 11A07 11A51 11A15 PDFBibTeX XMLCite \textit{M. Křížek} and \textit{L. Somer}, Math. Bohem. 126, No. 3, 541--549 (2001; Zbl 0993.11002) Full Text: EuDML
Carlip, Walter; Somer, Lawrence Stability classes of second-order linear recurrences modulo \(2^k\). (English) Zbl 0992.11013 Tatra Mt. Math. Publ. 20, 31-57 (2000). Reviewer: Andrzej Rotkiewicz (Warszawa) MSC: 11B39 11B50 11K36 PDFBibTeX XMLCite \textit{W. Carlip} and \textit{L. Somer}, Tatra Mt. Math. Publ. 20, 31--57 (2000; Zbl 0992.11013)
Somer, Lawrence; Carlip, Walter Stability of second-order recurrences modulo \(p^r\). (English) Zbl 0979.11014 Int. J. Math. Math. Sci. 23, No. 4, 225-241 (2000). Reviewer: N.Robbins (San Francisco) MSC: 11B39 PDFBibTeX XMLCite \textit{L. Somer} and \textit{W. Carlip}, Int. J. Math. Math. Sci. 23, No. 4, 225--241 (2000; Zbl 0979.11014) Full Text: DOI EuDML
Somer, Lawrence Special multipliers of Lucas sequences modulo \(p^r\). (English) Zbl 0963.11012 Howard, Fredric T. (ed.), Applications of Fibonacci numbers. Volume 8: Proceedings of the eighth international research conference on Fibonacci numbers and their applications, Rochester, NY, USA, June 22-26, 1998. Dordrecht: Kluwer Academic Publishers. 325-336 (1999). Reviewer: Florian Luca (México) MSC: 11B39 11B50 PDFBibTeX XMLCite \textit{L. Somer}, in: Applications of Fibonacci numbers. Volume 8: Proceedings of the eighth international research conference on Fibonacci numbers and their applications, Rochester, NY, USA, June 22--26, 1998. Dordrecht: Kluwer Academic Publishers. 325--336 (1999; Zbl 0963.11012)
Carlip, Walter; Somer, Lawrence Bounds for frequencies of residues of regular second-order recurrences modulo \(p^r\). (English) Zbl 0928.11010 Győry, Kálmán (ed.) et al., Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30–July 9, 1997. Volume 2: Elementary and analytic number theory. Berlin: de Gruyter. 691-719 (1999). Reviewer: Péter Kiss (Eger) MSC: 11B37 11B50 11B39 PDFBibTeX XMLCite \textit{W. Carlip} and \textit{L. Somer}, in: Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30--July 9, 1997. Volume 2: Elementary and analytic number theory. Berlin: de Gruyter. 691--719 (1999; Zbl 0928.11010)
Carlip, Walter; Jacobson, Eliot; Somer, Lawrence Pseudoprimes, perfect numbers, and a problem of Lehmer. (English) Zbl 0934.11005 Fibonacci Q. 36, No. 4, 361-371 (1998). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11A25 11A07 PDFBibTeX XMLCite \textit{W. Carlip} et al., Fibonacci Q. 36, No. 4, 361--371 (1998; Zbl 0934.11005)
Somer, Lawrence On Lucas \(d\)-pseudoprimes. (English) Zbl 0919.11008 Bergum, G. E. (ed.) et al., Applications of Fibonacci numbers. Volume 7: Proceedings of the 7th international research conference on Fibonacci numbers and their applications, Graz, Austria, July 15–19, 1996. Dordrecht: Kluwer Academic Publishers. 369-375 (1998). Reviewer: P.Kiss (Eger) MSC: 11A51 11B39 11Y11 PDFBibTeX XMLCite \textit{L. Somer}, in: Applications of Fibonacci numbers. Volume 7: Proceedings of the 7th international research conference on Fibonacci numbers and their applications, Graz, Austria, July 15--19, 1996. Dordrecht: Kluwer Academic Publishers. 369--375 (1998; Zbl 0919.11008)
Carlip, Walter; Jacobson, Eliot; Somer, Lawrence A criterion for stability of two-term recurrence sequences modulo odd primes. (English) Zbl 0921.11012 Bergum, G. E. (ed.) et al., Applications of Fibonacci numbers. Volume 7: Proceedings of the 7th international research conference on Fibonacci numbers and their applications, Graz, Austria, July 15–19, 1996. Dordrecht: Kluwer Academic Publishers. 49-60 (1998). Reviewer: J.Piehler (Merseburg) MSC: 11B50 11B39 11B37 PDFBibTeX XMLCite \textit{W. Carlip} et al., in: Applications of Fibonacci numbers. Volume 7: Proceedings of the 7th international research conference on Fibonacci numbers and their applications, Graz, Austria, July 15--19, 1996. Dordrecht: Kluwer Academic Publishers. 49--60 (1998; Zbl 0921.11012)
Hilton, Peter; Pedersen, Jean; Somer, Lawrence On Lucasian numbers. (English) Zbl 0880.11020 Fibonacci Q. 35, No. 1, 43-47 (1997). Reviewer: K.Atanassov (Sofia) MSC: 11B39 PDFBibTeX XMLCite \textit{P. Hilton} et al., Fibonacci Q. 35, No. 1, 43--47 (1997; Zbl 0880.11020)
Somer, Lawrence Periodicity properties of \(k\)th order linear recurrences whose characteristic polynomial splits completely over a finite field. II. (English) Zbl 0864.11011 Cohen, S. (ed.) et al., Finite fields and applications. Proceedings of the 3rd international conference, Glasgow, UK, July 11–14, 1995. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 233, 333-347 (1996). Reviewer: P.Haukkanen (Tampere) MSC: 11B37 11T99 PDFBibTeX XMLCite \textit{L. Somer}, Lond. Math. Soc. Lect. Note Ser. 233, 333--347 (1996; Zbl 0864.11011)
Somer, Lawrence Divisibility of terms in Lucas sequences of the second kind by their subscripts. (English) Zbl 0861.11010 Bergum, G. E. (ed.) et al., Applications of Fibonacci numbers. Volume 6: Proceedings of the sixth international research conference on Fibonacci numbers and their applications, Washington State University, Pullman, WA, USA, July 18-22, 1994. Dordrecht: Kluwer Academic Publishers. 473-486 (1996). Reviewer: E.L.Cohen (Ottawa) MSC: 11B39 PDFBibTeX XMLCite \textit{L. Somer}, in: Applications of Fibonacci numbers. Volume 6: Proceedings of the sixth international research conference on Fibonacci numbers and their applications, Washington State University, Pullman, WA, USA, July 18-22, 1994. Dordrecht: Kluwer Academic Publishers. 473--486 (1996; Zbl 0861.11010)
Somer, Lawrence Distribution of residues of certain second-order linear recurrences modulo \(p\). III. (English) Zbl 0882.11012 Bergum, G. E. (ed.) et al., Applications of Fibonacci numbers. Volume 6: Proceedings of the sixth international research conference on Fibonacci numbers and their applications, Washington State University, Pullman, WA, USA, July 18-22, 1994. Dordrecht: Kluwer Academic Publishers. 451-471 (1996). Reviewer: Péter Kiss (Eger) MSC: 11B50 11B39 PDFBibTeX XMLCite \textit{L. Somer}, in: Applications of Fibonacci numbers. Volume 6: Proceedings of the sixth international research conference on Fibonacci numbers and their applications, Washington State University, Pullman, WA, USA, July 18-22, 1994. Dordrecht: Kluwer Academic Publishers. 451--471 (1996; Zbl 0882.11012)
Somer, Lawrence Periodicity properties of \(k\)th order linear recurrences whose characteristic polynomial splits completely over a finite field. I. (English) Zbl 0811.11015 Mullen, Gary L. (ed.) et al., Finite fields: theory, applications and algorithms. 2nd international conference, August 17-21, 1993, Las Vegas, NV, USA. Providence, RI: American Mathematical Society. Contemp. Math. 168, 327-339 (1994). Reviewer: P.Haukkanen (Tampere) MSC: 11B37 11T99 PDFBibTeX XMLCite \textit{L. Somer}, Contemp. Math. 168, 327--339 (1994; Zbl 0811.11015)
Carroll, Dana; Jacobson, Eliot; Somer, Lawrence Distribution of two-term recurrence sequences mod \(p^ e\). (English) Zbl 0809.11011 Fibonacci Q. 32, No. 3, 260-265 (1994). Reviewer: P.Haukkanen (Tampere) MSC: 11B50 11K36 PDFBibTeX XMLCite \textit{D. Carroll} et al., Fibonacci Q. 32, No. 3, 260--265 (1994; Zbl 0809.11011)
Somer, Lawrence A note on Parker’s paper on mutually orthogonal Latin squares. (English) Zbl 0805.05010 Congr. Numerantium 98, 188-190 (1993). Reviewer: J.Dénes (Budapest) MSC: 05B15 PDFBibTeX XMLCite \textit{L. Somer}, Congr. Numerantium 98, 188--190 (1993; Zbl 0805.05010)
Somer, Lawrence Upper bounds for frequencies of elements in second-order recurrences over a finite field. (English) Zbl 0805.11022 Bergum, G. E. (ed.) et al., Applications of Fibonacci numbers. Volume 5: Proceedings of the fifth international conference on Fibonacci numbers and their applications, University of St. Andrews, Scotland, July 20-24, 1992. Dordrecht: Kluwer Academic Publishers. 527-546 (1993). Reviewer: P.Haukkanen (Tampere) MSC: 11B50 11B37 11T99 PDFBibTeX XMLCite \textit{L. Somer}, in: Applications of Fibonacci numbers. Volume 5: Proceedings of the fifth international conference on Fibonacci numbers and their applications, University of St. Andrews, Scotland, July 20-24, 1992. Dordrecht: Kluwer Academic Publishers. 527--546 (1993; Zbl 0805.11022)
Somer, Lawrence Divisibility of terms in Lucas sequences by their subscripts. (English) Zbl 0806.11013 Bergum, G. E. (ed.) et al., Applications of Fibonacci numbers. Volume 5: Proceedings of the fifth international conference on Fibonacci numbers and their applications, University of St. Andrews, Scotland, July 20-24, 1992. Dordrecht: Kluwer Academic Publishers. 515-525 (1993). Reviewer: P.Kiss (Eger) MSC: 11B39 PDFBibTeX XMLCite \textit{L. Somer}, in: Applications of Fibonacci numbers. Volume 5: Proceedings of the fifth international conference on Fibonacci numbers and their applications, University of St. Andrews, Scotland, July 20-24, 1992. Dordrecht: Kluwer Academic Publishers. 515--525 (1993; Zbl 0806.11013)
Somer, Lawrence Periodicity properties of \(k\)th order linear recurrences with irreducible characteristic polynomial over a finite field. (English) Zbl 0790.11013 Mullen, Gary L. (ed.) et al., Finite fields, coding theory, and advances in communications and computing. Proceedings of the international conference on finite fields, coding theory, and advances in communications and computing, held at the University of Nevada, Las Vegas, USA, August 7-10, 1991. New York: Marcel Dekker, Inc. Lect. Notes Pure Appl. Math. 141, 195-207 (1993). Reviewer: P.Kiss (Eger) MSC: 11B37 11T99 PDFBibTeX XMLCite \textit{L. Somer}, Lect. Notes Pure Appl. Math. 141, 195--207 (1993; Zbl 0790.11013)
Somer, Lawrence Distribution of residues of certain second-order linear recurrences modulo p. II. (English) Zbl 0728.11010 Fibonacci Q. 29, No. 1, 72-78 (1991). Reviewer: P.Kiss (Eger) MSC: 11B37 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 29, No. 1, 72--78 (1991; Zbl 0728.11010)
Niederreiter, H.; Schinzel, A.; Somer, L. Maximal frequencies of elements in second-order linear recurring sequences over a finite field. (English) Zbl 0747.11062 Elem. Math. 46, No. 5, 139-143 (1991). Reviewer: Pei Dingyi (Beijing) MSC: 11T99 11B37 PDFBibTeX XMLCite \textit{H. Niederreiter} et al., Elem. Math. 46, No. 5, 139--143 (1991; Zbl 0747.11062) Full Text: EuDML
Somer, Lawrence Possible restricted periods of certain Lucas sequences modulo \(p\). (English) Zbl 0747.11010 Applications of Fibonacci numbers. Vol. 4, Proc. 4th Int. Conf., Winston- Salem/NC (USA) 1990, 289-298 (1991). Reviewer: G.Philippou (Nicosia) MSC: 11B39 11B50 PDFBibTeX XMLCite \textit{L. Somer}, in: A Fibonacci-based pseudo-random number generator. . 289--298 (1991; Zbl 0747.11010)
Somer, Lawrence On even Fibonacci pseudoprimes. (English) Zbl 0738.11009 Applications of Fibonacci numbers. Vol. 4, Proc. 4th Int. Conf., Winston- Salem/NC (USA) 1990, 277-288 (1991). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11A51 11A07 11B39 PDFBibTeX XMLCite \textit{L. Somer}, in: A Fibonacci-based pseudo-random number generator. . 277--288 (1991; Zbl 0738.11009)
Banks, David; Somer, Lawrence Period patterns of certain second-order linear recurrences modulo a prime. (English) Zbl 0735.11005 Applications of Fibonacci numbers. Vol. 4, Proc. 4th Int. Conf., Winston- Salem/NC (USA) 1990, 37-40 (1991). Reviewer: R.F.Tichy (Graz) MSC: 11B37 11B39 PDFBibTeX XMLCite \textit{D. Banks} and \textit{L. Somer}, in: A Fibonacci-based pseudo-random number generator. . 37--40 (1991; Zbl 0735.11005)
Somer, Lawrence Distribution of residues of certain second-order linear recurrences modulo p. (English) Zbl 0722.11008 Applications of Fibonacci numbers. Vol. 3, Proc. 3rd Int. Conf., Pisa/Italy 1988, 311-324 (1990). Reviewer: P.Kiss (Eger) MSC: 11B37 11B39 PDFBibTeX XML
Somer, Lawrence On Fermat \(d\)-pseudoprimes. (English) Zbl 0687.10004 Théorie des nombres, C. R. Conf. Int., Québec/Can. 1987, 841-860 (1989). Reviewer: R.J.Stroeker MSC: 11A07 PDFBibTeX XML
Somer, Lawrence Congruence relations for \(k^{th}\)-order linear recurrences. (English) Zbl 0664.10003 Fibonacci Q. 27, No. 1, 25-31 (1989). Reviewer: P.Kiss MSC: 11B37 11A07 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 27, No. 1, 25--31 (1989; Zbl 0664.10003)
Parker, E. T.; Somer, Lawrence A partial generalization of Mann’s theorem concerning orthogonal Latin squares. (English) Zbl 0669.05012 Can. Math. Bull. 31, No. 4, 409-413 (1988). Reviewer: Jennifer Seberry MSC: 05B15 PDFBibTeX XMLCite \textit{E. T. Parker} and \textit{L. Somer}, Can. Math. Bull. 31, No. 4, 409--413 (1988; Zbl 0669.05012) Full Text: DOI
Somer, Lawrence Primes having an incomplete system of residues for a class of second-order recurrences. (English) Zbl 0653.10005 Applications of Fibonacci numbers, Proc. 2nd Int. Conf., San José/Cal., August 1986, 113-141 (1988). Reviewer: G. Philippou MSC: 11B39 11A07 PDFBibTeX XML
Somer, Lawrence On rth-order recurrences. (English) Zbl 0619.10008 Fibonacci Q. 25, 221-224 (1987). Reviewer: G.Philippou MSC: 11B37 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 25, 221--224 (1987; Zbl 0619.10008)
Somer, Lawrence Linear recurrences having almost all primes as maximal divisors. (English) Zbl 0592.10008 Fibonacci numbers and their applications, Pap. 1st Int. Conf., Patras/Greece 1984, Math. Appl., D. Reidel Publ. Co. 28, 257-272 (1986). Reviewer: P.Kiss MSC: 11B37 11R04 PDFBibTeX XML
Somer, Lawrence The generation of higher-order linear recurrences from second-order linear recurrences. (English) Zbl 0538.10013 Fibonacci Q. 22, 98-100 (1984). Reviewer: P.Kiss MSC: 11B37 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 22, 98--100 (1984; Zbl 0538.10013)
Somer, Lawrence Possible periods of primary Fibonacci-like sequences with respect to a fixed odd prime. (English) Zbl 0498.10010 Fibonacci Q. 20, 311-333 (1982). Reviewer: Lawrence Somer MSC: 11B39 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 20, 311--333 (1982; Zbl 0498.10010)
Somer, Lawrence The residues of \(n^n\) modulo \(p\). (English) Zbl 0451.10004 Fibonacci Q. 19, 110-117 (1981). MSC: 11A07 11A15 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 19, 110--117 (1981; Zbl 0451.10004) Full Text: Link
Somer, Lawrence The divisibility properties of primary Lucas recurrences with respect to primes. (English) Zbl 0441.10007 Fibonacci Q. 18, 316-334 (1980). MSC: 11B37 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 18, 316--334 (1980; Zbl 0441.10007)
Somer, Lawrence Which second-order linear integral recurrences have almost all primes as divisors? (English) Zbl 0401.10015 Fibonacci Q. 17, 111-116 (1979). MSC: 11B37 PDFBibTeX XMLCite \textit{L. Somer}, Fibonacci Q. 17, 111--116 (1979; Zbl 0401.10015)