Small fractional parts of polynomials / by Wolfgang M. Schmidt.

Format:

Book

Author/Creator:

Schmidt, Wolfgang M., 1933- author.

Series:

CBMS Regional Conference Series in Mathematics, 2380-5668 ; v. 32

Language:

English

Subjects (All):

Diophantine analysis.

Polynomials.

Physical Description:

1 online resource (v, 41 pages)

Place of Publication:

Providence : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1977.

System Details:

Mode of access : World Wide Web

Contents:

Heilbronn's Theorem The Heilbronn Alternative Lemma Vinogradov's Lemma About Sums $\sum \| \xi _i \|^{-1}$ About Sums $\sum e(\alpha n^2)$ Proof of the Heilbronn Alternative Lemma Fractional Parts of Polynomials A General Alternative Lemma Sums $\sum \| \xi _i \|^{-1}$ Again Estimation of Weyl Sums What Happens if the Weyl Sums are Large Proof of the General Alternative Theorem Simultaneous Approximation A Reduction A Vinogradov Lemma Proof of the Alternative Lemma on Simultaneous Approximation On max $\| \alpha _in^2 \|$ A Determinant Argument Proof of the Three Alternatives Lemma Quadratic Polynomials in Several Variables Proofs for Quadratic Polynomials

Notes:

"Expository lectures from the CBMS Regional Conference held at Illinois State University, July 26-30, 1976."

Bibliography: pages 40-41.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Schmidt, Wolfgang M., 1933- Small fractional parts of polynomials /

ISBN:

9781470423926 (online)

Access Restriction:

Restricted for use by site license.