Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-v5vhk Total loading time: 0 Render date: 2024-06-17T08:15:18.457Z Has data issue: false hasContentIssue false

Bibliography

Published online by Cambridge University Press:  05 November 2012

Alan Baker
Affiliation:
University of Cambridge
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

S., Alaca and K. S., Williams, Introductory Algebraic Number Theory (Cambridge University Press, 2004)Google Scholar
T. M., Apostol, Introduction to Analytic Number Theory (Springer-Verlag, 1976)Google Scholar
E., Artin and J., Tate, Class Field Theory (W. A. Benjamin, 1967; AMS Chelsea Publishing, 2nd revised edn, 2008)Google Scholar
P., Bachmann, Niedere Zahlentheorie (Teubner, 1902; reprint, AMS Chelsea Publishing, 1968)Google Scholar
A., Baker, Transcendental Number Theory (Cambridge Mathematical Library, Cambridge University Press, 3rd edn, 1990)Google Scholar
A., Baker and G., Wüstholz, Logarithmic Forms and Diophantine Geometry (New Mathematical Monographs 9, Cambridge University Press, 2007)Google Scholar
W. E. H., Berwick, Integral Bases (Cambridge University Press, 1927)Google Scholar
I. F., Blake, G., Seroussi and N. P., Smart, Elliptic Curves in Cryptography (LMS Lecture Note Series 265, Cambridge University Press, 2000)Google Scholar
Z. I., Borevich and I. R., Shafarevich, Number Theory (Academic Press, 1966)Google Scholar
J. W. S., Cassels, An Introduction to Diophantine Approximation (Cambridge University Press, 1957)Google Scholar
J. W. S., Cassels, An Introduction to the Geometry of Numbers (Springer-Verlag, 2nd edn, 1971)Google Scholar
J. W. S., Cassels, Rational Quadratic Forms (Academic Press, 1978)Google Scholar
J. W. S., Cassels, Local Fields (LMS Student Text Series 3, Cambridge University Press, 1986)Google Scholar
J. W. S., Cassels, Lectures on Elliptic Curves (LMS Student Text Series 24, Cambridge University Press, 1991)Google Scholar
J. W. S., Cassels and A., Fröhlich, eds, Algebraic Number Theory (Academic Press, 1967)
K., Chandrasekharan, Introduction to Analytic Number Theory (Grundlehren Math. Wiss. 148, Springer-Verlag, 1968)Google Scholar
K., Chandrasekharan, Arithmetical Functions (Grundlehren Math. Wiss. 167, Springer-Verlag, 1970)Google Scholar
H., Cohen, Number Theory, Vols I, II (Graduate Texts in Mathematics 239, 240, Springer-Verlag, 2007)Google Scholar
A. C., Cojocaru and M. R., Murty, An Introduction to Sieve Methods and Their Applications (LMS Student Text Series 66, Cambridge University Press, 2005)Google Scholar
D. A., Cox, Primes of the Form x2 + ny2: Fermat, Class Field Theory and Complex Multiplication (Wiley, 1989)Google Scholar
J. E., Cremona, Algorithms for Modular Elliptic Curves (Cambridge University Press, 2nd edn, 1997)Google Scholar
H., Davenport, Multiplicative Number Theory (Graduate Texts in Mathematics 74, revised by H. L. Montgomery, Springer-Verlag, 3rd edn, 2000)Google Scholar
H., Davenport, Analytic Methods for Diophantine Equations and Diophantine Inequalities (Campus Publications, 1963; Cambridge Mathematical Library, 2nd revised edn prepared by T. D. Browning, Cambridge University Press, 2005)Google Scholar
H., Davenport, The Higher Arithmetic (Cambridge University Press, 8th edn, 2008)Google Scholar
L. E., Dickson, History of the Theory of Numbers (Washington, 1920; reprint, Dover, 2005)Google Scholar
H. M., Edwards, Riemann's Zeta Function (Academic Press, 1974; reprint, Dover, 2001)Google Scholar
W., Ellison and F., Ellison, Prime Numbers (Wiley, Hermann, 1985)Google Scholar
J., Esmonde and M. R., Murty, Problems in Algebraic Number Theory (Graduate Texts in Mathematics 190, Springer-Verlag, 2nd edn, 2004)Google Scholar
A., Fröhlich and M. J., Taylor, Algebraic Number Theory (Cambridge Studies in Advanced Mathematics 27, Cambridge University Press, 1991)Google Scholar
C. F., Gauss, Disquisitiones Arithmeticae (Springer-Verlag, translated into English from original 1801 Latin edn, 1986)Google Scholar
H., Halberstam and H. E., Richert, Sieve Methods (Academic Press, 1974)Google Scholar
G. H., Hardy and E. M., Wright, An Introduction to the Theory of Numbers (Oxford University Press, 6th edn, 2008)Google Scholar
E., Hecke, Lectures on the Theory of Algebraic Numbers (Graduate Texts in Mathematics 77, Springer-Verlag, translated from original 1923 German edn, 1981)Google Scholar
D., Husemöller, Elliptic Curves (Graduate Texts in Mathematics 111, Springer-Verlag, 2nd edn, 2004)Google Scholar
M. N., Huxley, The Distribution of Prime Numbers: Large Sieves and Zero-Density Theorems (Oxford Mathematical Monographs, Clarendon Press, 1972)Google Scholar
A. E., Ingham, The Distribution of Prime Numbers (Cambridge Mathematical Library, Cambridge University Press, 2nd edn, 1990)Google Scholar
H., Iwaniec and E., Kowalski, Analytic Number Theory (AMS Colloquium Publications 53, American Mathematical Society, 2004)Google Scholar
A., Ivić, The Riemann Zeta-Function (Wiley, 1985)Google Scholar
A. A., Karatsuba and S. M., Voronin, The Riemann Zeta-Function (de Gruyter, 1992)Google Scholar
A., Khintchine, Kettenbrüche (Teubner, 1956)Google Scholar
N., Koblitz, Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics 97, Springer-Verlag, 1993)Google Scholar
N., Koblitz, A Course in Number Theory and Cryptography (Graduate Texts in Mathematics 114, Springer-Verlag, 2nd edn, 1994)Google Scholar
E., Landau, Einführung in die Elementare und Analytische Theorie der Algebraischen Zahlen und der Ideale (Teubner, 1918)Google Scholar
E., Landau, Foundations of Analysis (Chelsea Publishing, 1951)Google Scholar
E., Landau, Handbuch der Lehre von der Verteilung der Primzahlen (Chelsea Publishing, 2nd edn., 1953)Google Scholar
E., Landau, Elementary Number Theory (Chelsea Publishing, 1958; reprint, American Mathematical Society, 1999)Google Scholar
S., Lang, Algebraic Number Theory (Graduate Texts in Mathematics 110, Springer-Verlag, 2nd edn., 1994)Google Scholar
D. A., Marcus, Number Fields (Springer-Verlag, 1995)Google Scholar
H. L., Montgomery and R. C., Vaughan, Multiplicative Number Theory I: Classical Theory (Cambridge Studies in Advanced Mathematics 97, Cambridge University Press, 2006)Google Scholar
L. J., Mordell, Diophantine Equations (Academic Press, 1969)Google Scholar
M. R., Murty, Problems in Analytic Number Theory (Springer-Verlag, 2nd edn., 2008)Google Scholar
T., Nagell, Introduction to Number Theory (Wiley, 1951; reprint, AMS Chelsea Publishing, 2001)Google Scholar
W., Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers (Springer-Verlag, 3rd edn, 2004)Google Scholar
J., Neukirch, Algebraic Number Theory (Grundlehren Math. Wiss. 322, Springer-Verlag, 1999)Google Scholar
I., Niven, H. S., Zuckerman and H. L., Montgomery, An Introduction to the Theory of Numbers (Wiley, 5th edn, 1991)Google Scholar
S. J., Patterson, An Introduction to the Riemann Zeta-Function (Cambridge Studies in Advanced Mathematics 14, Cambridge University Press, 1988)Google Scholar
O., Perron, Die Lehre von den Kettenbrüchen (Teubner, 1913)Google Scholar
K., Prachar, Primzahlverteilung (Springer-Verlag, 1957)Google Scholar
P., Ribenboim, 13 Lectures on Fermat's Last Theorem (Springer-Verlag, 1979)Google Scholar
P., Ribenboim, The New Book of Prime Number Records (Springer-Verlag, 1996)Google Scholar
H., Riesel, Prime Numbers and Computer Methods for Factorization (Progress in Mathematics 126, Birkhäuser, 2nd edn., 1994)Google Scholar
W. M., Schmidt, Diophantine Approximation (Lecture Notes in Mathematics 785, Springer-Verlag, 1980)Google Scholar
S., Schmitt and H. G., Zimmer, Elliptic Curves: A Computational Approach (Studies in Mathematics 31, with an appendix by A. Pethő, de Gruyter, 2003)Google Scholar
R., Schoof, Catalan's Conjecture (Springer-Verlag, 2008)Google Scholar
J.-P., Serre, Local Fields (Graduate Texts in Mathematics 67, Springer-Verlag, 1979)Google Scholar
J. H., Silverman, Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics 151, Springer-Verlag, 1994)Google Scholar
J. H., Silverman, The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics 106, Springer-Verlag, 2nd edn, 2009)Google Scholar
J. H., Silverman and J., Tate, Rational Points on Elliptic Curves (Undergraduate Texts in Mathematics, Springer-Verlag, 1992)Google Scholar
T., Skolem, Diophantische Gleichungen (Springer-Verlag, 1938; reprint, Chelsea Publishing, 1950)Google Scholar
N. P., Smart, The Algorithmic Resolution of Diophantine Equations (LMS Student Text Series 41, Cambridge University Press, 1998)Google Scholar
H. M., Stark, An Introduction to Number Theory (MIT Press, 1978)Google Scholar
I., Stewart and D., Tall, Algebraic Number Theory and Fermat's Last Theorem (A. K. Peters, 3rd edn, 2002)Google Scholar
E. C., Titchmarsh, The Theory of the Riemann Zeta-Function (Oxford University Press, 2nd edn, revised by D. R., Heath-Brown, 1986)Google Scholar
E., Trost, Primzahlen (Birkhäuser, 1953)Google Scholar
R. C., Vaughan, The Hardy–Littlewood Method (Cambridge University Press, 2nd edn, 1997)Google Scholar
I. M., Vinogradov, An Introduction to the Theory of Numbers (Pergamon Press, 1961)Google Scholar
L. C., Washington, Elliptic Curves: Number Theory and Cryptography (Chapman & Hall/CRC, 2nd edn, 2008)Google Scholar
A., Weil, Basic Number Theory (Grundlehren Math. Wiss. 144, Springer-Verlag, 3rd edn, 1974; reprinted in the Classics in Mathematics series, 1995)Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Bibliography
  • Alan Baker, University of Cambridge
  • Book: A Comprehensive Course in Number Theory
  • Online publication: 05 November 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139093835.020
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Bibliography
  • Alan Baker, University of Cambridge
  • Book: A Comprehensive Course in Number Theory
  • Online publication: 05 November 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139093835.020
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Bibliography
  • Alan Baker, University of Cambridge
  • Book: A Comprehensive Course in Number Theory
  • Online publication: 05 November 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139093835.020
Available formats
×