Number Theory, Analysis and Geometry

In Memory of Serge Lang

  • Dorian Goldfeld
  • Jay Jorgenson
  • Peter Jones
  • Dinakar Ramakrishnan
  • Kenneth Ribet
  • John Tate

Table of contents

  1. Front Matter
    Pages i-xx
  2. Dan Abramovich, Jonathan Lubin
    Pages 1-18
  3. Amod Agashe, Kenneth A. Ribet, William A. Stein
    Pages 19-49
  4. Alexandru Buium
    Pages 111-123
  5. Gautam Chinta, Paul E. Gunnells
    Pages 125-142
  6. Adrian Constantin, Boris Kolev
    Pages 143-160
  7. Józef Dodziuk, Jeffrey McGowan, Peter Perry
    Pages 161-168
  8. Machiel van Frankenhuijsen
    Pages 169-180
  9. Wushi Goldring
    Pages 181-214
  10. Benedict H. Gross, James A. Parson
    Pages 215-241
  11. Patrick Ingram, Joseph H. Silverman
    Pages 243-271
  12. Jay Jorgenson, Serge Lang
    Pages 273-306
  13. Nicholas M. Katz
    Pages 321-353
  14. Hershy Kisilevsky
    Pages 369-383
  15. Jürg Kramer, Anna-Maria von Pippich
    Pages 397-435
  16. M. Ram Murty, V. Kumar Murty
    Pages 461-474
  17. Catherine O’Neil
    Pages 499-518
  18. David E. Rohrlich
    Pages 595-608
  19. L. Szpiro, T. J. Tucker
    Pages 609-638
  20. Marie-France Vignéras
    Pages 639-646
  21. Michel Waldschmidt
    Pages 659-704

About this book


Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future.

In the spirit of Lang’s vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas, namely number theory, analysis and geometry, representing Lang’s own breadth of interests. A special introduction by John Tate includes a brief and engaging account of Serge Lang’s life.

Contributors to the volume:

D. Abramovich

A. Agashe

D. Bertrand

E. Brenner

A. Buium

G. Chinta

A. Constantin

J. Dodziuk

M. van Frankenhuijsen

W. Goldring

B.H. Gross

P.E. Gunnells

P. Ingram

J. Jorgenson

A. Karlsson

N.M. Katz

M. Kim

H. Kisilevsky

D.Y. Kleinbock

B. Kolev

J. Kramer

S. Lang

J. Lubin

G.A. Margulis

J. McGowan

P. Michel

M. R. Murty

V.K. Murty

M. Nakamaye

C. O’Neil

J.A. Parson

P. Perry

A.-M. von Pippich

F. Pop

D. Ramakrishnan

K.A.  Ribet

D.E. Rohrlich

J.H. Silverman

A. Sinton

W.A. Stein

L. Szpiro

J. Tate

T.J. Tucker

M.-F. Vignéras

P. Vojta

M. Waldschmidt


Bessel integrals Diophantine approximation Gelfand's transcendence criterion Lang-Trotter conjecture arithmetic dimension elliptic Einstein series elliptic divisibility sequence irreducibility of L-functions quadratic reciprocity

Editors and affiliations

  • Dorian Goldfeld
    • 1
  • Jay Jorgenson
    • 2
  • Peter Jones
    • 3
  • Dinakar Ramakrishnan
    • 4
  • Kenneth Ribet
    • 5
  • John Tate
    • 6
  1. 1., Department of MathematicsColumbia UniversityNew YorkUSA
  2. 2., Department of MathematicsCity College of New YorkNew YorkUSA
  3. 3., Department of MathematicsYale UniversityNew HavenUSA
  4. 4., Department of MathematicsCalifornia Institute of TechnologyPasadenaUSA
  5. 5., Department of MathematicsUniversity of California at BerkeleyBerkeleyUSA
  6. 6., Department of MathematicsHarvard UniversityCambridgeUSA

Bibliographic information

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