Number Theory [electronic resource] : A Seminar held at the Graduate School and University Center of the City University of New York 1985–88 / edited by David V. Chudnovsky, Gregory V. Chudnovsky, Harvey Cohn, Melvyn B. Nathanson.

Contributor(s): Chudnovsky, David V [editor.] | Chudnovsky, Gregory V [editor.] | Cohn, Harvey [editor.] | Nathanson, Melvyn B [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1383Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1989Description: V, 258 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540466406Subject(s): Mathematics | Number theory | Mathematics | Number TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 512.7 LOC classification: QA241-247.5Online resources: Click here to access online
Contents:
Some conjectured relationships between theta functions and eisenstein series on the metaplectic group -- Computational problems in arithmetic of linear differential equations. Some diophantine applications -- Iteration of two-valued modular equations -- Report on transcendency in the theory of function fields -- Exponential sums and faster than Nyquist signaling -- Some new applications of the large sieve -- Elliptic fiberings of Kummer surfaces -- Recent developments in the theory of rational period functions -- Additive problems in combinatorial number theory -- Growth of order of homology of cyclic branched covers of knots -- Hybrid problems in number theory -- Binomial coefficients not divisible by a prime -- Positive characteristic calculus and icebergs -- Arithmetic of certain algebraic surfaces over finite fields.
In: Springer eBooksSummary: The New York Number Theory Seminar was organized in 1982 to provide a forum for the presentation and discussion of recent advances in higher arithmetic and its applications. Papers included in this volume are based on the lectures presented by their authors at the Seminar at the Graduate Center of C.U.N.Y. in 1985-88. Papers in the volume cover a wide spectrum of number theoretic topics ranging from additive number theory and diophantine approximations to algebraic number theory and relations with algebraic geometry and topology.
Item type: E-BOOKS
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Some conjectured relationships between theta functions and eisenstein series on the metaplectic group -- Computational problems in arithmetic of linear differential equations. Some diophantine applications -- Iteration of two-valued modular equations -- Report on transcendency in the theory of function fields -- Exponential sums and faster than Nyquist signaling -- Some new applications of the large sieve -- Elliptic fiberings of Kummer surfaces -- Recent developments in the theory of rational period functions -- Additive problems in combinatorial number theory -- Growth of order of homology of cyclic branched covers of knots -- Hybrid problems in number theory -- Binomial coefficients not divisible by a prime -- Positive characteristic calculus and icebergs -- Arithmetic of certain algebraic surfaces over finite fields.

The New York Number Theory Seminar was organized in 1982 to provide a forum for the presentation and discussion of recent advances in higher arithmetic and its applications. Papers included in this volume are based on the lectures presented by their authors at the Seminar at the Graduate Center of C.U.N.Y. in 1985-88. Papers in the volume cover a wide spectrum of number theoretic topics ranging from additive number theory and diophantine approximations to algebraic number theory and relations with algebraic geometry and topology.

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