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Number theory : [electronic resource] Ramanujan Mathematical Society, January 3-6, 1996, Tiruchirapalli, India / V. Kumar Murty, Michel Waldschmidt, editors.

Contributor(s): Murty, Vijaya Kumar, 1956- | Waldschmidt, Michel, 1946- | Ramanujan Mathematical SocietyMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 210.Publication details: Providence, R.I. : American Mathematical Society, c1998Description: 1 online resource (vii, 399 p. : ill.)ISBN: 9780821878019 (online)Subject(s): Number theory -- CongressesAdditional physical formats: Number theory :DDC classification: 512/.7 LOC classification: QA241 | .N8678 1998Online resources: Contents | Contents

Contents:

Relative splitting of one-motives / Daniel Bertrand -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02781 The Hasse principle in a pencil of algebraic varieties / J.-L. Colliot-Th�el�ene -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02782 Stark-Heegner points over real quadratic fields / H. Darmon -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02783 On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces / Fred Diamond -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02784 The $abc$ conjecture and exponents of class groups of quadratic fields / M. Ram Murty -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02785 Heights of points on subvarieties of ${\bf G}^n_m$ / Wolfgang Schmidt -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02786 A note on a geometric analogue of Ankeny-Artin-Chowla's conjecture / Jing Yu and Jiu-Kang Yu -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02787 Determinant of representations of division algebras of prime degree over local fields / S. Jayasree and R. Tandon -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02788 ${\rm Mod}\, p$ modular forms / Chandrashekhar Khare -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02789 On exceptions of integral quadratic forms / A. K. Lal and B. Ramakrishnan -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02791 A brief survey on the theta correspondence / Dipendra Prasad -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02790 Deformations of Siegel-Hilbert Hecke eigensystems and their Galois representations / J. Tilouine -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02792 A new key identity for G�ollnitz' (big) partition theorem / Krishnaswami Alladi and George E. Andrews -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02799 Some local-convexity theorems for the zeta-function-like analytic functions. III / R. Balasubramanian and K. Ramachandra -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02800 Perfect powers in products of terms in an arithmetical progression. IV / R. Balasubramanian and T. N. Shorey -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02801 On some connections between probability and number theory / Jean-Marc Deshouillers -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02802 Inhomogeneous minima of a class of quaternary quadratic forms of type $(2,2)$ / Madhu Raka and Urmila Rani -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02803 On an arithmetical inequality. II / S. Srinivasan -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02804 Algebraic numbers close to $1$: results and methods / Francesco Amoroso -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02793 Transcendence in positive characteristic / W. Dale Brownawell -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02794 Minorations des hauteurs normalis�ees des sous-vari�et�es de vari�et�es ab�eliennes / Sinnou David and Patrice Philippon -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02795 Klein polygons and geometric diagrams / Gilles Lachaud -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02796 Sails and Klein polyhedra / Gilles Lachaud -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02797 Automata and transcendence / Dinesh S. Thakur -- http://www.ams.org/conm/210/ http://dx.doi.org/10.1090/conm/210/02798

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11493

Papers presented at an international conference of the Ramanujan Mathematical Society to observe its tenth anniversary, held during Jan. 3-6, 1996.

Includes bibliographical references.

Relative splitting of one-motives / Daniel Bertrand -- The Hasse principle in a pencil of algebraic varieties / J.-L. Colliot-Th�el�ene -- Stark-Heegner points over real quadratic fields / H. Darmon -- On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces / Fred Diamond -- The $abc$ conjecture and exponents of class groups of quadratic fields / M. Ram Murty -- Heights of points on subvarieties of ${\bf G}^n_m$ / Wolfgang Schmidt -- A note on a geometric analogue of Ankeny-Artin-Chowla's conjecture / Jing Yu and Jiu-Kang Yu -- Determinant of representations of division algebras of prime degree over local fields / S. Jayasree and R. Tandon -- ${\rm Mod}\, p$ modular forms / Chandrashekhar Khare -- On exceptions of integral quadratic forms / A. K. Lal and B. Ramakrishnan -- A brief survey on the theta correspondence / Dipendra Prasad -- Deformations of Siegel-Hilbert Hecke eigensystems and their Galois representations / J. Tilouine -- A new key identity for G�ollnitz' (big) partition theorem / Krishnaswami Alladi and George E. Andrews -- Some local-convexity theorems for the zeta-function-like analytic functions. III / R. Balasubramanian and K. Ramachandra -- Perfect powers in products of terms in an arithmetical progression. IV / R. Balasubramanian and T. N. Shorey -- On some connections between probability and number theory / Jean-Marc Deshouillers -- Inhomogeneous minima of a class of quaternary quadratic forms of type $(2,2)$ / Madhu Raka and Urmila Rani -- On an arithmetical inequality. II / S. Srinivasan -- Algebraic numbers close to $1$: results and methods / Francesco Amoroso -- Transcendence in positive characteristic / W. Dale Brownawell -- Minorations des hauteurs normalis�ees des sous-vari�et�es de vari�et�es ab�eliennes / Sinnou David and Patrice Philippon -- Klein polygons and geometric diagrams / Gilles Lachaud -- Sails and Klein polyhedra / Gilles Lachaud -- Automata and transcendence / Dinesh S. Thakur --