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**About this book :- **
**Ten Lectures on the Interface between Analytic Number Theory & Harmonic Analysis ** written by
** Hugh L. Montgomery **.

Most of the material in this volume is found in the research literature, and does not originate from the present author. Original results published here for the first time were obtained with the support from the National Science Foundation, particularly NSF Grant DMS-9107605.

(Hugh Montgomery)

**Book Detail :- **
** Title: ** Topics in Multiplicative Number Theory
** Edition: **
** Author(s): ** Hugh L. Montgomery
** Publisher: ** American Mathematical Society
** Series: ** Conference Board of the Mathematical Sciences CBMS 84
** Year: ** 1990
** Pages: ** 237
** Type: ** PDF
** Language: ** English
** ISBN: ** 0821807374 9780821807378
** Country: ** US
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**About Author :- **
The author ** Hugh Lowell Montgomery ** (born, 1944) is an American mathematician, working in the fields of analytic number theory and mathematical analysis. As a Marshall scholar, Montgomery earned his Ph.D. from the University of Cambridge. For many years, Montgomery has been teaching at the University of Michigan.

He is best known for Montgomery's pair correlation conjecture, his development of the large sieve methods and for co-authoring (with Ivan M. Niven and Herbert Zuckerman) one of the standard introductory number theory texts, An Introduction to the Theory of Numbers, now in its fifth edition (ISBN 0471625469). In 2012 he became a fellow of the American Mathematical Society.

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Exploring the Riemann Zeta Function by Hugh Montgomery, Ashkan Nikeghbali, Michael Rassias **

** • Download PDF Early Fourier Analysis by Hugh L. Montgomery **

** • Download PDF Topics in Multiplicative Number Theory by Hugh L. Montgomery **

** • Download PDF Multiplicative Number Theory I: Classical Theory by Hugh L. Montgomery, Robert C. Vaughan **

** • Download PDF Interface between Analytic Number Theory & Harmonic Analysis by Hugh L. Montgomery **

** • Download PDF An Introduction to the Theory of Numbers, 5E by Ivan Niven, Herbert Zuckerman, Hugh Montgomery **

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**Book Contents :- **
**Ten Lectures on the Interface between Analytic Number Theory & Harmonic Analysis ** written by
** Hugh L. Montgomery **
cover the following topics.
'

1. Uniform Distribution

2. van der Corput Sets

3. Exponential Sums I: The Methods of Weyl and van der Corput

4. Exponential Sums II: Vinogradov's Method

5. An Introduction to Turan's Method

6. Irregularities of Distribution

7. Mean and Large Values of Dirichlet Polynomials

8. Distribution of Reduced Residue Classes in Short Intervals

9. Zeros of L-functions

10. Small Polynomials with Integral Coefficients

Appendix: Some Unsolved Problems

References

Index

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**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?