Wieferich-prímek (Hungarian Wikipedia)

Analysis of information sources in references of the Wikipedia article "Wieferich-prímek" in Hungarian language version.

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23doi.org

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Pinch, R. G. E. (2000). „The Pseudoprimes up to 10¹³”. Lecture Notes in Computer Science 1838, 459–473. o. DOI:10.1007/10722028_30. ^{[halott link]}

ams.org

Wilfrid Keller; Jörg Richstein (2005), "Solutions of the congruence a^p−1 ≡ 1 (mod p^r)", Math. Comp. 74 (250): 927–936, doi:10.1090/S0025-5718-04-01666-7, <http://www.ams.org/journals/mcom/2005-74-250/S0025-5718-04-01666-7/S0025-5718-04-01666-7.pdf>
Kravitz, S. (1960). „The Congruence 2^p-1 ≡ 1 (mod p²) for p < 100,000”. Math. Comp. 14, 378. o. DOI:10.1090/S0025-5718-1960-0121334-7.
Fröberg C. E. (1958). „Some Computations of Wilson and Fermat Remainders”. Math. Comp. 12, 281. o. DOI:10.1090/S0025-5718-58-99270-6.
Riesel, H. (1964). „Note on the Congruence a^p-1 ≡ 1 (mod p²)”. Math. Comp. 18, 149–150. o. DOI:10.1090/S0025-5718-1964-0157928-6.
Lehmer, D. H.. „On Fermat's quotient, base two”. Math. Comp. 36 (153), 289–290. o. DOI:10.1090/S0025-5718-1981-0595064-5.
Coppersmith, D. (1990), "Fermat's Last Theorem (Case I) and the Wieferich Criterion", Math. Comp. (AMS) 54 (190): 895–902, <http://www.ams.org/journals/mcom/1990-54-190/S0025-5718-1990-1010598-2/S0025-5718-1990-1010598-2.pdf>
Cikánek, P. (1994), "A Special Extension of Wieferich's Criterion", Math. Comp. (AMS) 62 (206): 923–930, <http://www.ams.org/journals/mcom/1994-62-206/S0025-5718-1994-1216257-9/S0025-5718-1994-1216257-9.pdf>
Dilcher, K. & Skula, L. (1995), "A new criterion for the first case of Fermat's last theorem", Math. Comp. (AMS) 64 (209): 363–392, <http://www.ams.org/journals/mcom/1995-64-209/S0025-5718-1995-1248969-6/S0025-5718-1995-1248969-6.pdf>
Jakubec, S. (1998), "On divisibility of the class number h⁺ of the real cyclotomic fields of prime degree l", Mathematics of Computation 67 (221): 369–398, <http://www.ams.org/journals/mcom/1998-67-221/S0025-5718-98-00916-8/S0025-5718-98-00916-8.pdf>
Joshua Knauer; Jörg Richstein (2005), "The continuing search for Wieferich primes", Math. Comp. 74 (251): 1559–1563, doi:10.1090/S0025-5718-05-01723-0, <http://www.ams.org/journals/mcom/2005-74-251/S0025-5718-05-01723-0/S0025-5718-05-01723-0.pdf>
McIntosh, R. J. & Roettger, E. L. (2007), "A search for Fibonacci-Wieferich and Wolstenholme primes", Mathematics of Computation (AMS) 76 (260): 2087–2094, doi:10.1090/S0025-5718-07-01955-2, <http://www.ams.org/journals/mcom/2007-76-260/S0025-5718-07-01955-2/S0025-5718-07-01955-2.pdf>

archive.org

Beeger, N. G. W. H. (1922), "On a new case of the congruence 2^{p − 1} ≡ 1 (mod p²)", Messenger of Mathematics 51: 149–150, <http://www.archive.org/stream/messengerofmathe5051cambuoft#page/148/mode/2up> Archivált másolat. [2012. november 11-i dátummal az eredetiből archiválva]. (Hozzáférés: 2012. november 4.)

bas.bg

sci-gems.math.bas.bg

Dobeš, Jan & Kureš, Miroslav (2010), "Search for Wieferich primes through the use of periodic binary strings", Serdica Journal of Computing 4: 293–300, <http://sci-gems.math.bas.bg/jspui/bitstream/10525/1595/1/sjc104-vol4-num3-2010.pdf>

books.google.com

Ribenboim, Paulo (1991), The little book of big primes, New York: Springer, p. 64, ISBN 0-387-97508-X, <https://books.google.com/?id=zUCK7FT4xgAC&pg=PA64>
Müller, H. (2009). „{{{title}}}” (német nyelven). Mitteilungen der Mathematischen Gesellschaft in Hamburg 28, 121–130. o, Kiadó: Mathematische Gesellschaft in Hamburg.

dartmouth.edu

math.dartmouth.edu

Leonhard Euler (1736), "Theorematum quorundam ad numeros primos spectantium demonstratio", Novi Comm. Acad. Sci. Petropol. 8: 33–37, <http://www.math.dartmouth.edu/~euler/docs/translations/E054tr.pdf>
Franco, Z. & Pomerance, C. (1995), "On a conjecture of Crandall concerning the qx+1 problem", Math. Of Comput. (American Mathematical Society) 64 (211): 1333–1336, doi:10.2307/2153499, <http://www.math.dartmouth.edu/~carlp/PDF/paper101.pdf>

gauss.dartmouth.edu

Crandall, Richard E.; Dilcher, Karl & Pomerance, Carl (1997), "A search for Wieferich and Wilson primes", Math. Comput. 66 (217): 433–449, doi:10.1090/S0025-5718-97-00791-6, <http://gauss.dartmouth.edu/~carlp/PDF/paper111.pdf>

digizeitschriften.de

Wells Johnson (1977), "On the nonvanishing of Fermat quotients (mod p)", J. Reine angew. Math. 292: 196–200, <http://www.digizeitschriften.de/index.php?id=resolveppn&PPN=GDZPPN002193698>

doi.org

dx.doi.org

Israel Kleiner (2000), "From Fermat to Wiles: Fermat's Last Theorem Becomes a Theorem", Elem. Math. 55: 21, doi:10.1007/PL00000079, <http://math.stanford.edu/~lekheng/flt/kleiner.pdf> Archiválva 2011. június 8-i dátummal a Wayback Machine-ben Archivált másolat. [2011. június 8-i dátummal az eredetiből archiválva]. (Hozzáférés: 2012. november 3.)
Wilfrid Keller; Jörg Richstein (2005), "Solutions of the congruence a^p−1 ≡ 1 (mod p^r)", Math. Comp. 74 (250): 927–936, doi:10.1090/S0025-5718-04-01666-7, <http://www.ams.org/journals/mcom/2005-74-250/S0025-5718-04-01666-7/S0025-5718-04-01666-7.pdf>
Ribenboim, P. (1983), "1093", The Mathematical Intelligencer 5 (2): 28–34, DOI 10.1007/BF03023623
Kravitz, S. (1960). „The Congruence 2^p-1 ≡ 1 (mod p²) for p < 100,000”. Math. Comp. 14, 378. o. DOI:10.1090/S0025-5718-1960-0121334-7.
Fröberg C. E. (1958). „Some Computations of Wilson and Fermat Remainders”. Math. Comp. 12, 281. o. DOI:10.1090/S0025-5718-58-99270-6.
Riesel, H. (1964). „Note on the Congruence a^p-1 ≡ 1 (mod p²)”. Math. Comp. 18, 149–150. o. DOI:10.1090/S0025-5718-1964-0157928-6.
Lehmer, D. H.. „On Fermat's quotient, base two”. Math. Comp. 36 (153), 289–290. o. DOI:10.1090/S0025-5718-1981-0595064-5.
Franco, Z. & Pomerance, C. (1995), "On a conjecture of Crandall concerning the qx+1 problem", Math. Of Comput. (American Mathematical Society) 64 (211): 1333–1336, doi:10.2307/2153499, <http://www.math.dartmouth.edu/~carlp/PDF/paper101.pdf>
Wieferich, A. (1909), "Zum letzten Fermat'schen Theorem", Journal für die reine und angewandte Mathematik 136 (136): 293–302, doi:10.1515/crll.1909.136.293, <http://gdz.sub.uni-goettingen.de/dms/resolveppn/?PPN=GDZPPN002166968>
Granville, A. & Monagan, M. B. (1988), "The First Case of Fermat's Last Theorem is true for all prime exponents up to 714,591,416,091,389", Transactions of the American Mathematical Society 306 (1): 329–359, DOI 10.1090/S0002-9947-1988-0927694-5
Silverman, J. H. (1988), "Wieferich's criterion and the abc-conjecture", Journal of Number Theory 30 (2): 226–237, DOI 10.1016/0022-314X(88)90019-4
Scott, R., Styer, R. (2004. április 1.). „On p^x-q^y=c and related three term exponential Diophantine equations with prime bases”. Journal of Number Theory 105 (2), 212–234. o, Kiadó: Elsevier. DOI:10.1016/j.jnt.2003.11.008.
Scott, R., Styer, R. (2006). „On the generalized Pillai equation ±a^x±b^y=c”. Journal of Number Theory 118 (2), 236–265. o. DOI:10.1016/j.jnt.2005.09.001. ^{[halott link]}
Pinch, R. G. E. (2000). „The Pseudoprimes up to 10¹³”. Lecture Notes in Computer Science 1838, 459–473. o. DOI:10.1007/10722028_30. ^{[halott link]}
(2008) „Catalan numbers, primes and twin primes”. Elemente der Mathematik 63 (4), 153–164. o. [2011. április 1-i dátummal az eredetiből archiválva]. DOI:10.4171/EM/103. (Hozzáférés: 2012. november 9.)
Garza, G. & Young, J. (2004), "Wieferich Primes and Period Lengths for the Expansions of Fractions", Math. Mag. 77 (4): 314–319, DOI 10.2307/3219294
Martínez-Pérez, C., Willems, W. (2006). „Is the Class of Cyclic Codes Asymptotically Good?”. IEEE Transactions on information theory 52 (2), 696–700. o, Kiadó: IEEE. DOI:10.1109/TIT.2005.862123.
Crandall, Richard E.; Dilcher, Karl & Pomerance, Carl (1997), "A search for Wieferich and Wilson primes", Math. Comput. 66 (217): 433–449, doi:10.1090/S0025-5718-97-00791-6, <http://gauss.dartmouth.edu/~carlp/PDF/paper111.pdf>
Joshua Knauer; Jörg Richstein (2005), "The continuing search for Wieferich primes", Math. Comp. 74 (251): 1559–1563, doi:10.1090/S0025-5718-05-01723-0, <http://www.ams.org/journals/mcom/2005-74-251/S0025-5718-05-01723-0/S0025-5718-05-01723-0.pdf>
Banks, W. D.; Luca, F. & Shparlinski, I. E. (2007), "Estimates for Wieferich numbers", The Ramanujan Journal (Springer) 14 (3): 361–378, doi:10.1007/s11139-007-9030-z, <http://web.science.mq.edu.au/~igor/Wieferich.pdf> Archiválva 2013. május 3-i dátummal a Wayback Machine-ben Archivált másolat. [2013. május 3-i dátummal az eredetiből archiválva]. (Hozzáférés: 2012. november 12.)
Agoh, T.; Dilcher, K. & Skula, L. (1997), "Fermat Quotients for Composite Moduli", Journal of Number Theory 66 (1): 29–50, DOI 10.1006/jnth.1997.2162
McIntosh, R. J. & Roettger, E. L. (2007), "A search for Fibonacci-Wieferich and Wolstenholme primes", Mathematics of Computation (AMS) 76 (260): 2087–2094, doi:10.1090/S0025-5718-07-01955-2, <http://www.ams.org/journals/mcom/2007-76-260/S0025-5718-07-01955-2/S0025-5718-07-01955-2.pdf>
Voloch, J. F. (2000), "Elliptic Wieferich Primes", Journal of Number Theory 81: 205–209, DOI 10.1006/jnth.1999.2471

elmath.org

About project Wieferich@Home. [2012. március 22-i dátummal az eredetiből archiválva]. (Hozzáférés: 2012. november 10.)

elte.hu

ac.inf.elte.hu

DeKoninck, J.-M. & Doyon, N. (2007), "On the set of Wieferich primes and of its complement", Annales Univ. Sci. Budapest., Sect. Comp. 27: 3–13, <http://ac.inf.elte.hu/Vol_027_2007/003.pdf>

files.wordpress.com

trex58.files.wordpress.com

Ribenboim, P. (2004), "Chapter 2. How to Recognize Whether a Natural Number is a Prime", The Little Book of Bigger Primes, New York: Springer-Verlag New York, Inc., p. 99, ISBN 0-387-20169-6 Archivált másolat. [2023. május 14-i dátummal az eredetiből archiválva]. (Hozzáférés: 2023. július 3.)

google.de

books.google.de

Ribenboim, Paulo (2004), Die Welt der Primzahlen: Geheimnisse und Rekorde, New York: Springer, p. 237, ISBN 3-540-34283-4, <https://books.google.de/books?id=-nEM9ZVr4CsC&pg=PA237>
Ribenboim, P.. 13 Lectures on Fermat's Last Theorem. New York: Springer, 154. o. (1979). ISBN 0-387-90432-8

google.de

Ribenboim, P. (2004), "Chapter 2. How to Recognize Whether a Natural Number is a Prime", The Little Book of Bigger Primes, New York: Springer-Verlag New York, Inc., p. 99, ISBN 0-387-20169-6 Archivált másolat. [2023. május 14-i dátummal az eredetiből archiválva]. (Hozzáférés: 2023. július 3.)

icm.edu.pl

matwbn.icm.edu.pl

Jakubec, S. (1995), "Connection between the Wieferich congruence and divisibility of h⁺", Acta Arithmetica 71 (1): 55–64, <http://matwbn.icm.edu.pl/ksiazki/aa/aa71/aa7114.pdf>

jstor.org

Guy, R. K. (1965), "A property of the prime 3511", The Mathematical Gazette 49 (367): 78–79, <http://www.jstor.org/stable/3614249>
Dickson, L. E. (1917), "Fermat's Last Theorem and the Origin and Nature of the Theory of Algebraic Numbers", Annals of Mathematics 18 (4): 161–187, <http://www.jstor.org/stable/pdfplus/2007234>

kaist.ac.kr

basilo.kaist.ac.kr

Byeon, D. (2006), "Class numbers, Iwasawa invariants and modular forms", Trends in Mathematics 9 (1): 25–29, <http://basilo.kaist.ac.kr/mathnet/kms_tex/985999.pdf> Archiválva 2012. április 26-i dátummal a Wayback Machine-ben Archivált másolat. [2012. április 26-i dátummal az eredetiből archiválva]. (Hozzáférés: 2012. november 9.)

latrobe.edu.au

(2008) „Catalan numbers, primes and twin primes”. Elemente der Mathematik 63 (4), 153–164. o. [2011. április 1-i dátummal az eredetiből archiválva]. DOI:10.4171/EM/103. (Hozzáférés: 2012. november 9.)

lsu.edu

math.lsu.edu

Stevens, W. H. (19 June 1995), Periodicity for the Z/p^r-homology of cyclic covers of knots and Z-homology circles, <https://www.math.lsu.edu/~gilmer/waynestevenspaper.pdf>. Hozzáférés ideje: 29 September 2012

math.ca

fq.math.ca

Ehrlich, A. (1994), "Cycles in Doubling Diagrams mod m", The Fibonacci Quarterly 32 (1): 74–78, <http://www.fq.math.ca/Scanned/32-1/ehrlich.pdf>

mq.edu.au

web.science.mq.edu.au

Banks, W. D.; Luca, F. & Shparlinski, I. E. (2007), "Estimates for Wieferich numbers", The Ramanujan Journal (Springer) 14 (3): 361–378, doi:10.1007/s11139-007-9030-z, <http://web.science.mq.edu.au/~igor/Wieferich.pdf> Archiválva 2013. május 3-i dátummal a Wayback Machine-ben Archivált másolat. [2013. május 3-i dátummal az eredetiből archiválva]. (Hozzáférés: 2012. november 12.)

primegrid.com

PrimeGrid Announcement of Wieferich and Wall-Sun-Sun searches
PrimeGrid, Wieferich & near Wieferich primes p < 11e15 Archiválva 2012. október 18-i dátummal a Wayback Machine-ben

projecteuclid.org

Suzuki, Jiro (1994), "On the generalized Wieferich criteria", Proc. Japan Acad. Ser. A Math. Sci. 70: 230–234, <http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&handle=euclid.pja/1195510946>
Bray, H. G. & Warren, L. J. (1967), "On the square-freeness of Fermat and Mersenne numbers", Pacific J. Math. 22 (3): 563–564, <http://projecteuclid.org/euclid.pjm/1102992105>

prpnet.mine.nu

PrimeGrid Wieferich prime search server statistics Archiválva 2014. április 6-i dátummal a Wayback Machine-ben

pte.hu

ttk.pte.hu

Kiss, E., Sándor, J. (2004). „On a congruence by János Bolyai, connected with pseudoprimes”. Mathematica Pannonica 15 (2), 283–288. o.

sciencedirect.com

pdn.sciencedirect.com

Scott, R., Styer, R. (2006). „On the generalized Pillai equation ±a^x±b^y=c”. Journal of Number Theory 118 (2), 236–265. o. DOI:10.1016/j.jnt.2005.09.001. ^{[halott link]}

stanford.edu

math.stanford.edu

Israel Kleiner (2000), "From Fermat to Wiles: Fermat's Last Theorem Becomes a Theorem", Elem. Math. 55: 21, doi:10.1007/PL00000079, <http://math.stanford.edu/~lekheng/flt/kleiner.pdf> Archiválva 2011. június 8-i dátummal a Wayback Machine-ben Archivált másolat. [2011. június 8-i dátummal az eredetiből archiválva]. (Hozzáférés: 2012. november 3.)

umass.edu

math.umass.edu

Martínez-Pérez, C., Willems, W. (2006). „Is the Class of Cyclic Codes Asymptotically Good?”. IEEE Transactions on information theory 52 (2), 696–700. o, Kiadó: IEEE. DOI:10.1109/TIT.2005.862123.