Elliptic Curves over $$\mathbb{C}$$

[1]  Sarah Meiklejohn,et al.  Review of an introduction to mathematical cryptography by Jeffrey Hoffstein, Jill Pipher, and Joseph Silverman Springer-Verlag, 2008 , 2010, SIGA.

[2]  Richard Taylor,et al.  A family of Calabi-Yau varieties and potential automorphy , 2010 .

[3]  J. Tate,et al.  DUALITY THEOREMS IN GALOIS COHOMOLOGY OVER NUMBER FIELDS , 2010 .

[4]  S-ganze Punkte auf elliptischen Kurven , 2009 .

[5]  Michael Harris,et al.  Automorphy for some l-adic lifts of automorphic mod l Galois representations , 2008 .

[6]  Ramarathnam Venkatesan,et al.  Non-degeneracy of Pollard Rho Collisions , 2008, ArXiv.

[7]  E. Victor Flynn,et al.  Descent via isogeny on elliptic curves with large rational torsion subgroups , 2008, J. Symb. Comput..

[8]  Jeong Han Kim,et al.  A Birthday Paradox for Markov Chains, with an Optimal Bound for Collision in the Pollard Rho Algorithm for Discrete Logarithm , 2007, ANTS.

[9]  Tanja Lange,et al.  Faster Addition and Doubling on Elliptic Curves , 2007, ASIACRYPT.

[10]  Katherine E. Stange Elliptic nets and elliptic curves , 2007, 0710.1316.

[11]  H. Edwards A normal form for elliptic curves , 2007 .

[12]  Katherine E. Stange The Tate Pairing Via Elliptic Nets , 2007, Pairing.

[13]  Ramarathnam Venkatesan,et al.  Spectral Analysis of Pollard Rho Collisions , 2006, ANTS.

[14]  David Mandell Freeman,et al.  Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10 , 2006, ANTS.

[15]  J. Milnor On Lattès Maps , 2004, math/0402147.

[16]  J. Cremona,et al.  Height difference bounds for elliptic curves over number fields , 2006 .

[17]  Gerald J. Janusz,et al.  Algebraic Number Fields , 2005 .

[18]  A. Weng,et al.  Elliptic Curves Suitable for Pairing Based Cryptography , 2005, Des. Codes Cryptogr..

[19]  Tanja Lange,et al.  Handbook of Elliptic and Hyperelliptic Curve Cryptography , 2005 .

[20]  Andreas Enge,et al.  Building Curves with Arbitrary Small MOV Degree over Finite Prime Fields , 2004, Journal of Cryptology.

[21]  Ebru Bekyel The density of elliptic curves having a global minimal Weierstrass equation , 2004 .

[22]  D. Boneh,et al.  Short Signatures from the Weil Pairing , 2001, Journal of Cryptology.

[23]  David A. Cox The Arithmetic-Geometric Mean of Gauss , 2004 .

[24]  Alfred Menezes,et al.  Guide to Elliptic Curve Cryptography , 2004, Springer Professional Computing.

[25]  Edward F. Schaefer,et al.  How to do a p-descent on an elliptic curve , 2003 .

[26]  Igor E. Shparlinski,et al.  Elliptic divisibility sequences , 2003 .

[27]  C. Clemens A Scrapbook of Complex Curve Theory: Second Edition , 2002 .

[28]  Douglas Ulmer Elliptic curves with large rank over function fields , 2001, math/0109163.

[29]  Matthew K. Franklin,et al.  Identity-Based Encryption from the Weil Pairing , 2001, CRYPTO.

[30]  Mihir Bellare,et al.  The Oracle Diffie-Hellman Assumptions and an Analysis of DHIES , 2001, CT-RSA.

[31]  Edlyn Teske Square-root algorithms for the discrete logarithm problem (a survey) , 2001 .

[32]  Atsuko Miyaji,et al.  Characterization of Elliptic Curve Traces under FR-Reduction , 2000, ICISC.

[33]  Edward F. Schaefer,et al.  Computing the p-Selmer group of an elliptic curve , 2000 .

[34]  Antoine Joux A One Round Protocol for Tripartite Diffie-Hellman , 2000, ANTS.

[35]  R. Taylor,et al.  On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises , 2001, Journal of the American Mathematical Society.

[36]  Nigel P. Smart,et al.  The Discrete Logarithm Problem on Elliptic Curves of Trace One , 1999, Journal of Cryptology.

[37]  Edlyn Teske,et al.  A space efficient algorithm for group structure computation , 1998, Math. Comput..

[38]  Edlyn Teske,et al.  Speeding Up Pollard's Rho Method for Computing Discrete Logarithms , 1998, ANTS.

[39]  On the rank of an elliptic surface , 1998 .

[40]  Takakazu Satoh,et al.  Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves , 1998 .

[41]  R. Balasubramanian,et al.  The Improbability That an Elliptic Curve Has Subexponential Discrete Log Problem under the Menezes—Okamoto—Vanstone Algorithm , 1998, Journal of Cryptology.

[42]  Igor A. Semaev,et al.  Evaluation of discrete logarithms in a group of p-torsion points of an elliptic curve in characteristic p , 1998, Math. Comput..

[43]  K. Nagao ℚ(T)-rank of elliptic curves and certain limit coming from the local points , 1997 .

[44]  Y. Bugeaud Bounds for the solutions of superelliptic equations , 1997, Compositio Mathematica.

[45]  Victor Shoup,et al.  Lower Bounds for Discrete Logarithms and Related Problems , 1997, EUROCRYPT.

[46]  S. Fermigier Une courbe elliptique définie sur ℚ de rang ≥ 22 , 1997 .

[47]  N. Elkies Elliptic and modular curves over finite fields and related computational issues , 1997 .

[48]  Alfred Menezes,et al.  Handbook of Applied Cryptography , 2018 .

[49]  W. Narkiewicz Global Class-Field Theory , 1996 .

[50]  J. Manin,et al.  THE HASSE-WITT MATRIX OF AN ALGEBRAIC CURVE , 1996 .

[51]  Loïc Merel,et al.  Bornes pour la torsion des courbes elliptiques sur les corps de nombres , 1996 .

[52]  P. Voutier An Upper Bound for the Size of Integral Solutions to Ym=ƒ(X) , 1995 .

[53]  A. Wiles,et al.  Ring-Theoretic Properties of Certain Hecke Algebras , 1995 .

[54]  A. Wiles Modular Elliptic Curves and Fermat′s Last Theorem(抜粋) (フェルマ-予想がついに解けた!?) , 1995 .

[55]  J. Silverman,et al.  S-INTEGER POINTS ON ELLIPTIC CURVES , 1995 .

[56]  S. David Minorations de formes linéaires de logarithmes elliptiques , 1995 .

[57]  Douglas R. Stinson,et al.  Cryptography: Theory and Practice , 1995 .

[58]  R. Schoof Journal de Theorie des Nombres de Bordeaux 7 (1995), 219{254 , 2022 .

[59]  Nigel P. Smart,et al.  S-integral points on elliptic curves , 1994, Mathematical Proceedings of the Cambridge Philosophical Society.

[60]  Joe W. Harris,et al.  Principles of Algebraic Geometry: Griffiths/Principles , 1994 .

[61]  G. Frey,et al.  A remark concerning m -divisibility and the discrete logarithm in the divisor class group of curves , 1994 .

[62]  Attila Pethő,et al.  Computing integral points on elliptic curves , 1994 .

[63]  N. Tzanakis,et al.  Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms , 1994 .

[64]  A. Atkin,et al.  ELLIPTIC CURVES AND PRIMALITY PROVING , 1993 .

[65]  G. Wüstholz,et al.  Isogeny estimates for abelian varieties, and finiteness theorems , 1993 .

[66]  S. Kamienny,et al.  Torsion points on elliptic curves andq-coefficients of modular forms , 1992 .

[67]  J. Cremona Algorithms for Modular Elliptic Curves , 1992 .

[68]  Three constructions of rational points onY2=X3±NX , 1992 .

[69]  Joe Harris,et al.  Definitions of Dimension and Elementary Examples , 1992 .

[70]  Paul Vojta Siegel's theorem in the compact case , 1991 .

[71]  François Morain Building Elliptic Curves Modulo Large Primes , 1991, EUROCRYPT.

[72]  Alfred Menezes,et al.  Reducing elliptic curve logarithms to logarithms in a finite field , 1991, STOC '91.

[73]  R. Devaney,et al.  Iteration of Rational Functions , 1991 .

[74]  Kenneth A. Ribet,et al.  On modular representations of $$(\bar Q/Q)$$ arising from modular forms , 1990 .

[75]  G. Wüstholz,et al.  Estimating isogenies on elliptic curves , 1990 .

[76]  R. Gross A note on Roth's Theorem , 1990 .

[77]  Joseph H. Silverman,et al.  The difference between the Weil height and the canonical height on elliptic curves , 1990 .

[78]  H. Carayol Sur les représentations Galoisiennes modulo $\ell$ attachées aux formes modulaires , 1989 .

[79]  G. Wüstholz Multiplicity estimates on group varieties , 1989 .

[80]  D. Masser Specializations of finitely generated subgroups of abelian varieties , 1989 .

[81]  G. Frey Links between solutions of A−B=C and elliptic curves , 1989 .

[82]  Karl Rubin,et al.  The “main conjectures” of iwasawa theory for imaginary quadratic fields , 1988 .

[83]  Joseph H. Silverman,et al.  Wieferich's criterion and the abc-conjecture , 1988 .

[84]  Joseph H. Silverman,et al.  Computing heights on elliptic curves , 1988 .

[85]  Takeshi Saito,et al.  Conductor, discriminant, and the Noether formula of arithmetic surfaces , 1988 .

[86]  M. Brown,et al.  Note On Supersingular Primes of Elliptic Curves Over Q , 1988 .

[87]  Joseph H. Silverman,et al.  The canonical height and integral points on elliptic curves , 1988 .

[88]  Joseph H. Silverman,et al.  Arithmetic distance functions and height functions in diophantine geometry , 1987 .

[89]  G. Frey Elliptic curves and solutions of A-B=C , 1987 .

[90]  Karl Rubin,et al.  Tate-Shafarevich groups andL-functions of elliptic curves with complex multiplication , 1987 .

[91]  Noam D. Elkies,et al.  The existence of infinitely many supersingular primes for every elliptic curve over ℚ , 1987 .

[92]  W. Kohnen,et al.  Heegner points and derivatives ofL-series. II , 1987 .

[93]  Joseph H. Silverman,et al.  A quantitative version of Siegel's theorem: integral points on elliptic curves and Catalan curves. , 1987 .

[94]  Jean-Pierre Serre Sur les représentations modulaires de degré $2$ de $\mathrm{Gal}(\overline{\mathbf{Q}}/\mathbf{Q})$ , 1987 .

[95]  Don Zagier,et al.  Large Integral Points on Elliptic Curves , 1987 .

[96]  N. Koblitz Elliptic curve cryptosystems , 1987 .

[97]  D. W. Masser,et al.  Vanishing sums in function fields , 1986, Mathematical Proceedings of the Cambridge Philosophical Society.

[98]  Joe Kilian,et al.  Almost all primes can be quickly certified , 1986, STOC '86.

[99]  Jan-Hendrik Evertse,et al.  Uniform bounds for the number of solutions to Yn = f(X) , 1986, Mathematical Proceedings of the Cambridge Philosophical Society.

[100]  Don Zagier,et al.  Heegner points and derivatives ofL-series , 1986 .

[101]  T. Shioda,et al.  An Explicit Algorithm for Computing the Picard Number of Certain Algebraic Surfaces , 1986 .

[102]  R. C. Mason Norm form equations I , 1986 .

[103]  R. Pinch Elliptic curves with good reduction away from 2: II , 1984, Mathematical Proceedings of the Cambridge Philosophical Society.

[104]  Gerd Faltings,et al.  Finiteness Theorems for Abelian Varieties over Number Fields , 1986 .

[105]  Ted Chinburg,et al.  An Introduction to Arakelov Intersection Theory , 1986 .

[106]  Paul Vojta,et al.  A Higher Dimensional Mordell Conjecture , 1986 .

[107]  José Felipe Voloch,et al.  Diagonal equations over function fields , 1985 .

[108]  Victor S. Miller,et al.  Use of Elliptic Curves in Cryptography , 1985, CRYPTO.

[109]  Joseph H. Silverman,et al.  Divisibility of the Specialization Map for Families of Elliptic Curves , 1985 .

[110]  Don Zagier,et al.  On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of rank 3 , 1985 .

[111]  R. Schoof Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p , 1985 .

[112]  D V Chudnovsky,et al.  Padé approximations and diophantine geometry. , 1985, Proceedings of the National Academy of Sciences of the United States of America.

[113]  N. Katz,et al.  Arithmetic Moduli of Elliptic Curves. (AM-108) , 1985 .

[114]  Joseph H. Silverman,et al.  Weierstrass equations and the minimal discriminant of an elliptic curve , 1984 .

[115]  Jan-Hendrik Evertse,et al.  On equations inS-units and the Thue-Mahler equation , 1984 .

[116]  D. Rohrlich,et al.  OnL-functions of elliptic curves and cyclotomic towers , 1984 .

[117]  T. Elgamal A public key cryptosystem and a signature scheme based on discrete logarithms , 1984, CRYPTO 1984.

[118]  Adi Shamir,et al.  Identity-Based Cryptosystems and Signature Schemes , 1984, CRYPTO.

[119]  Gerd Faltings,et al.  Calculus on arithmetic surfaces , 1984 .

[120]  Joseph H. Silverman The S -unit equation over function fields , 1984 .

[121]  G. Wüstholz,et al.  Recent progress in transcendence theory , 1984 .

[122]  Andrew Bremner,et al.  On the equation , 1984 .

[123]  J. W. S. Cassels,et al.  On the equation , 1984 .

[124]  G. Faltings Endlichkeitssätze für abelsche Varietäten über Zahlkörpern , 1983 .

[125]  David Masser,et al.  Fields of large transcendence degree generated by values of elliptic functions , 1983 .

[126]  S. Lang Fundamentals of Diophantine Geometry , 1983 .

[127]  J. Silverman Integer Points on Curves of Genus 1 , 1983 .

[128]  P. Erdös,et al.  On a problem of Oppenheim concerning “factorisatio numerorum” , 1983 .

[129]  R. Greenberg On the Birch and Swinnerton-Dyer conjecture , 1983 .

[130]  R. C. Mason The hyperelliptic equation over function fields , 1983, Mathematical Proceedings of the Cambridge Philosophical Society.

[131]  J. Tate,et al.  Variation of the Canonical Height of a Point Depending on a Parameter , 1983 .

[132]  Adi Shamir,et al.  A method for obtaining digital signatures and public-key cryptosystems , 1978, CACM.

[133]  S. Lang,et al.  Conjectured Diophantine Estimates on Elliptic Curves , 1983 .

[134]  Michael Laska Elliptic curves over number fields with prescribed reduction type , 1983 .

[135]  Joseph H. Silverman,et al.  Heights and the specialization map for families of abelian varieties. , 1983 .

[136]  M. A Kenku On the number of Q-isomorphism classes of elliptic curves in each Q-isogeny class , 1982 .

[137]  L. V. Danilov Diophantine equation x3−y2=k and Hall's conjecture , 1982 .

[138]  Kenneth S. Brown,et al.  Cohomology of Groups , 1982 .

[139]  Jean-François Mestre Courbes elliptiques et formules explicites , 1982 .

[140]  Michael Laska,et al.  An algorithm for finding a minimal Weierstrass equation for an elliptic curve , 1982 .

[141]  Jean-Pierre Serre,et al.  Quelques applications du théorème de densité de Chebotarev , 1981 .

[142]  Karl Rubin,et al.  Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer , 1981 .

[143]  Joseph H. Silverman,et al.  Lower bound for the canonical height on elliptic curves , 1981 .

[144]  W. W. Stothers,et al.  POLYNOMIAL IDENTITIES AND HAUPTMODULN , 1981 .

[145]  Stephen Hoel Schanuel Heights in number fields , 1979 .

[146]  Stephen C. Pohlig,et al.  An Improved Algorithm for Computing Logarithms over GF(p) and Its Cryptographic Significance , 2022, IEEE Trans. Inf. Theory.

[147]  J. Pollard,et al.  Monte Carlo methods for index computation () , 1978 .

[148]  B. Mazur,et al.  Rational isogenies of prime degree , 1978 .

[149]  Nicole Arthaud,et al.  On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I , 1978 .

[150]  Joe W. Harris,et al.  Principles of Algebraic Geometry , 1978 .

[151]  Bennett Setzer,et al.  Elliptic curves over complex quadratic fields , 1978 .

[152]  Armand Brumer,et al.  The rank of elliptic curves , 1977 .

[153]  Barry Mazur,et al.  Modular curves and the eisenstein ideal , 1977 .

[154]  Whitfield Diffie,et al.  New Directions in Cryptography , 1976, IEEE Trans. Inf. Theory.

[155]  D. Kubert Universal Bounds on the Torsion of Elliptic Curves , 1976 .

[156]  Horst G. Zimmer,et al.  On the difference of the Weil height and the Néron-Tate height , 1976 .

[157]  T. Apostol Introduction to analytic number theory , 1976 .

[158]  T. Apostol Modular Functions and Dirichlet Series in Number Theory , 1976 .

[159]  Bennett Setzer Elliptic Curves of Prime Conductor , 1975 .

[160]  Loren D. Olson Torsion points on elliptic curves with given j-invariant , 1975 .

[161]  D. Masser Elliptic Functions and Transcendence , 1975 .

[162]  B. Birch,et al.  Modular Functions of One Variable IV , 1975 .

[163]  H. Swinnerton-Dyer,et al.  Ellitpic curves and modular functions , 1975 .

[164]  J. Tate,et al.  Algorithm for determining the type of a singular fiber in an elliptic pencil , 1975 .

[165]  P. Deligne La conjecture de Weil. I , 1974 .

[166]  J. Tate,et al.  The arithmetic of elliptic curves , 1974 .

[167]  I. Shafarevich Basic algebraic geometry , 1974 .

[168]  Jean-Pierre Serre A Course in Arithmetic , 1973 .

[169]  H. M. Stark,et al.  Effective estimates of solutions of some diophantine equations , 1973 .

[170]  Alain Robert Elliptic Curves: Notes from Postgraduate Lectures Given in Lausanne 1971/72 , 1973 .

[171]  Ju. Manin,et al.  CYCLOTOMIC FIELDS AND MODULAR CURVES , 1971 .

[172]  Jean-Pierre Serre Propriétés galoisiennes des points d'ordre fini des courbes elliptiques , 1971 .

[173]  G. Shimura V. The Zeta Function of an Abelian Variety with Complex Multiplication , 1971 .

[174]  G. Shimura On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields , 1971, Nagoya Mathematical Journal.

[175]  O. Neumann Elliptische Kurven mit vorgeschriebenem Reduktionsverhalten. II , 1971 .

[176]  André Weil,et al.  Dirichlet Series and Automorphic Forms , 1971 .

[177]  J. Coates,et al.  Construction of rational functions on a curve , 1970, Mathematical Proceedings of the Cambridge Philosophical Society.

[178]  J. Coates,et al.  Integer points on curves of genus 1 , 1970, Mathematical Proceedings of the Cambridge Philosophical Society.

[179]  Ju. Manin,et al.  THE p-TORSION OF ELLIPTIC CURVES IS UNIFORMLY BOUNDED , 1969 .

[180]  L. Mordell,et al.  Diophantine equations , 1969 .

[181]  A. Ogg,et al.  Modular forms and Dirichlet series , 1969 .

[182]  Michael Francis Atiyah,et al.  Introduction to commutative algebra , 1969 .

[183]  Jean-Pierre Serre,et al.  Good reduction of abelian varieties , 1968 .

[184]  A N Paršin,et al.  ALGEBRAIC CURVES OVER FUNCTION FIELDS. I , 1968 .

[185]  S. Lichtenbaum,et al.  THE PERIOD-INDEX PROBLEM FOR ELLIPTIC CURVES. , 1968 .

[186]  B. J. Birch,et al.  How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies , 1968 .

[187]  N. Stephens,et al.  The diophantine equation X3 + Y3 = DZ3 and the conjectures of Birch and Swinnerton-Dyer. , 1968 .

[188]  André Weil,et al.  Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen , 1967 .

[189]  L. J. Mordell THE DIOPHANTINE EQUATION x4+my4 =z2 , 1967 .

[190]  A. Ogg,et al.  ELLIPTIC CURVES AND WILD RAMIFICATION. , 1967 .

[191]  A. Ogg Abelian curves of small conductor. , 1967 .

[192]  W. J. Blundon,et al.  Numerical solutions of the Diophantine equation , 1966 .

[193]  A. Ogg Abelian curves of 2-power conductor , 1966, Mathematical Proceedings of the Cambridge Philosophical Society.

[194]  J. Tate Endomorphisms of abelian varieties over finite fields , 1966 .

[195]  J. Cassels,et al.  Diophantine Equations with Special Reference To Elliptic Curves , 1966 .

[196]  A. Neron,et al.  Quasi-fonctions et Hauteurs sur les Varietes Abeliennes , 1965 .

[197]  J. Cassels,et al.  Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer. , 1965 .

[198]  J. Tate,et al.  Algebraic cycles and poles of zeta functions , 1965 .

[199]  D. Mumford,et al.  Geometric Invariant Theory , 2011 .

[200]  André Néron,et al.  Modèles minimaux des variétés abéliennes sur les corps locaux et globaux , 1964 .

[201]  J. Cassels,et al.  Arithmetic on Curves of Genus 1 (V). Two Counter-Examples , 1963 .

[202]  H. Swinnerton-Dyer,et al.  Notes on elliptic curves. II. , 1963 .

[203]  J. W. S. Cassels,et al.  arithmetic on curves of genus 1 : iii. the tate‐Šafarevič and selmer groups , 1962 .

[204]  J. Cassels,et al.  Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung. , 1962 .

[205]  D. Lewis,et al.  On the representation of integers by binary forms , 1961 .

[206]  Bernard Dwork,et al.  On the Rationality of the Zeta Function of an Algebraic Variety , 1960 .

[207]  S. Lang,et al.  Principal Homogeneous Spaces Over Abelian Varieties , 1958 .

[208]  J Igusa,et al.  CLASS NUMBER OF A DEFINITE QUATERNION WITH PRIM DISCRIMINANT. , 1958, Proceedings of the National Academy of Sciences of the United States of America.

[209]  Par Goro Shimura Correspondances modulaires et les fonctions ζ de courbes algebriques , 1958 .

[210]  Jean-Pierre Serre Géométrie algébrique et géométrie analytique , 1956 .

[211]  Andre Weil On Algebraic Groups and Homogeneous Spaces , 1955 .

[212]  Ernst S. Selmer,et al.  A conjecture concerning rational points on cubic curves , 1954 .

[213]  Ernst S. Selmer,et al.  The diophantine equationax3+by3+cz3=0. Completion of the tables , 1954 .

[214]  M. Eichler,et al.  Quaternäre quadratische Formen und die Riemannsche Vermutung fÜr die Kongruenzzetafunktion , 1954 .

[215]  Jean-Pierre Serre,et al.  Cohomology of group extensions , 1953 .

[216]  André Weil,et al.  Jacobi sums as “Grössencharaktere” , 1952 .

[217]  André Néron,et al.  Problèmes arithmétique et géométriques rattachés à la notion de rang d'une courbe algébrique dans un corps , 1952 .

[218]  Ernst S. Selmer,et al.  The diophantine equationax3+by3+cz3=0. , 1951 .

[219]  R. J. Walker Algebraic curves , 1950 .

[220]  A. Weil Numbers of solutions of equations in finite fields , 1949 .

[221]  J. W. S. Cassels,et al.  A note on the division values of ℘(u) , 1949, Mathematical Proceedings of the Cambridge Philosophical Society.

[222]  Morgan Ward,et al.  Memoir on Elliptic Divisibility Sequences , 1948 .

[223]  Hans Reichardt,et al.  Einige im Kleinen überall lösbare, im Großen unlösbare diophantische Gleichungen. , 1942 .

[224]  M. Deuring Die Typen der Multiplikatorenringe elliptischer Funktionenkörper , 1941 .

[225]  E. Wright,et al.  An Introduction to the Theory of Numbers , 1939 .

[226]  K. Mahler,et al.  On the Lattice-Points on Curves of Genus , 1935 .

[227]  R. Fueter,et al.  Ueber kubische diophantische Gleichungen , 1930 .

[228]  K. Zsigmondy,et al.  Zur Theorie der Potenzreste , 1892 .

[229]  G. L. Dirichlet Ueber den biquadratischen Character der Zahl "Zwei". , 1860 .