eBook ISBN:  9780821878019 
Product Code:  CONM/210.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821878019 
Product Code:  CONM/210.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 210; 1998; 399 ppMSC: Primary 11; Secondary 14
To observe the tenth anniversary of the founding of the Ramanujan Mathematical Society, an international conference on Discrete Mathematics and Number Theory was held in January 1996 in Tiruchirapalli, India. This volume contains proceedings from the number theory component of that conference. Papers are divided into four groups: arithmetic algebraic geometry, automorphic forms, elementary and analytic number theory and transcendental number theory. This work deals with recent progress in current aspects of number theory and covers a wide variety of topics.
ReadershipGraduate students and research mathematicians interested in number theory and related subjects.

Table of Contents

Part I. Arithmetic Algebraic Geometry [ MR 1478481 ]

Daniel Bertrand — Relative splitting of onemotives [ MR 1478482 ]

J.L. ColliotThélène — The Hasse principle in a pencil of algebraic varieties [ MR 1478483 ]

H. Darmon — StarkHeegner points over real quadratic fields [ MR 1478484 ]

Fred Diamond — On the Hecke action on the cohomology of HilbertBlumenthal surfaces [ MR 1478485 ]

M. Ram Murty — The $abc$ conjecture and exponents of class groups of quadratic fields [ MR 1478486 ]

Wolfgang Schmidt — Heights of points on subvarieties of ${\bf G}^n_m$ [ MR 1478487 ]

Jing Yu and JiuKang Yu — A note on a geometric analogue of AnkenyArtinChowla’s conjecture [ MR 1478488 ]

Part II. Automorphic Forms [ MR 1478481 ]

S. Jayasree and R. Tandon — Determinant of representations of division algebras of prime degree over local fields [ MR 1478489 ]

Chandrashekhar Khare — ${\rm Mod}\, p$ modular forms [ MR 1478490 ]

A. K. Lal and B. Ramakrishnan — On exceptions of integral quadratic forms [ MR 1478491 ]

Dipendra Prasad — A brief survey on the theta correspondence [ MR 1478492 ]

J. Tilouine — Deformations of SiegelHilbert Hecke eigensystems and their Galois representations [ MR 1478493 ]

Part III. Elementary and Analytic Number Theory [ MR 1478481 ]

Krishnaswami Alladi and George E. Andrews — A new key identity for Göllnitz’ (big) partition theorem [ MR 1478494 ]

R. Balasubramanian and K. Ramachandra — Some localconvexity theorems for the zetafunctionlike analytic functions. III [ MR 1478495 ]

R. Balasubramanian and T. N. Shorey — Perfect powers in products of terms in an arithmetical progression. IV [ MR 1478496 ]

JeanMarc Deshouillers — On some connections between probability and number theory [ MR 1478497 ]

Madhu Raka and Urmila Rani — Inhomogeneous minima of a class of quaternary quadratic forms of type $(2,2)$ [ MR 1478498 ]

S. Srinivasan — On an arithmetical inequality. II [ MR 1478499 ]

Part IV. Transcednetal Number Theory [ MR 1478481 ]

Francesco Amoroso — Algebraic numbers close to $1$: results and methods [ MR 1478500 ]

W. Dale Brownawell — Transcendence in positive characteristic [ MR 1478501 ]

Sinnou David and Patrice Philippon — Minorations des hauteurs normalisées des sousvariétés de variétés abéliennes [ MR 1478502 ]

Gilles Lachaud — Klein polygons and geometric diagrams [ MR 1478503 ]

Gilles Lachaud — Sails and Klein polyhedra [ MR 1478504 ]

Dinesh S. Thakur — Automata and transcendence [ MR 1478505 ]


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To observe the tenth anniversary of the founding of the Ramanujan Mathematical Society, an international conference on Discrete Mathematics and Number Theory was held in January 1996 in Tiruchirapalli, India. This volume contains proceedings from the number theory component of that conference. Papers are divided into four groups: arithmetic algebraic geometry, automorphic forms, elementary and analytic number theory and transcendental number theory. This work deals with recent progress in current aspects of number theory and covers a wide variety of topics.
Graduate students and research mathematicians interested in number theory and related subjects.

Part I. Arithmetic Algebraic Geometry [ MR 1478481 ]

Daniel Bertrand — Relative splitting of onemotives [ MR 1478482 ]

J.L. ColliotThélène — The Hasse principle in a pencil of algebraic varieties [ MR 1478483 ]

H. Darmon — StarkHeegner points over real quadratic fields [ MR 1478484 ]

Fred Diamond — On the Hecke action on the cohomology of HilbertBlumenthal surfaces [ MR 1478485 ]

M. Ram Murty — The $abc$ conjecture and exponents of class groups of quadratic fields [ MR 1478486 ]

Wolfgang Schmidt — Heights of points on subvarieties of ${\bf G}^n_m$ [ MR 1478487 ]

Jing Yu and JiuKang Yu — A note on a geometric analogue of AnkenyArtinChowla’s conjecture [ MR 1478488 ]

Part II. Automorphic Forms [ MR 1478481 ]

S. Jayasree and R. Tandon — Determinant of representations of division algebras of prime degree over local fields [ MR 1478489 ]

Chandrashekhar Khare — ${\rm Mod}\, p$ modular forms [ MR 1478490 ]

A. K. Lal and B. Ramakrishnan — On exceptions of integral quadratic forms [ MR 1478491 ]

Dipendra Prasad — A brief survey on the theta correspondence [ MR 1478492 ]

J. Tilouine — Deformations of SiegelHilbert Hecke eigensystems and their Galois representations [ MR 1478493 ]

Part III. Elementary and Analytic Number Theory [ MR 1478481 ]

Krishnaswami Alladi and George E. Andrews — A new key identity for Göllnitz’ (big) partition theorem [ MR 1478494 ]

R. Balasubramanian and K. Ramachandra — Some localconvexity theorems for the zetafunctionlike analytic functions. III [ MR 1478495 ]

R. Balasubramanian and T. N. Shorey — Perfect powers in products of terms in an arithmetical progression. IV [ MR 1478496 ]

JeanMarc Deshouillers — On some connections between probability and number theory [ MR 1478497 ]

Madhu Raka and Urmila Rani — Inhomogeneous minima of a class of quaternary quadratic forms of type $(2,2)$ [ MR 1478498 ]

S. Srinivasan — On an arithmetical inequality. II [ MR 1478499 ]

Part IV. Transcednetal Number Theory [ MR 1478481 ]

Francesco Amoroso — Algebraic numbers close to $1$: results and methods [ MR 1478500 ]

W. Dale Brownawell — Transcendence in positive characteristic [ MR 1478501 ]

Sinnou David and Patrice Philippon — Minorations des hauteurs normalisées des sousvariétés de variétés abéliennes [ MR 1478502 ]

Gilles Lachaud — Klein polygons and geometric diagrams [ MR 1478503 ]

Gilles Lachaud — Sails and Klein polyhedra [ MR 1478504 ]

Dinesh S. Thakur — Automata and transcendence [ MR 1478505 ]