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**About this book :- **
**Topics in Multiplicative Number Theory ** written by
** Hugh L. Montgomery **.

These notes are designed to present a survey of the present state of knowledge concerning those subjects touched upon in the last fifty pages of Davenport's Multiplicative Number Theory.

(Hugh Montgomery)

**Book Detail :- **
** Title: ** Topics in Multiplicative Number Theory
** Edition: **
** Author(s): ** Hugh L. Montgomery
** Publisher: ** Springer
** Series: ** Lecture Notes in Mathematics
** Year: ** 1971
** Pages: ** 186
** Type: ** PDF
** Language: ** English
** ISBN: ** 3540056416,9783540056416
** 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 :- **
**Topics in Multiplicative Number Theory ** written by
** Hugh L. Montgomery **
cover the following topics.
'

1. Three Basic Principles

2. The Large Sleve

3. Arithmetic formation of the large sleve

4. A weighted sleve and its application

5. A lower bound of Roth

6. Classical mean value theorems

7. New mean value theorems

8. Large module theorems

9. Further Results and Conjectures concerning mean and large moduli

10. Mean Moduli of L-functions

11. Zero free regions and the proliferation of Zeros

12. Distribution of zeros of L-functions

13. Leas character non residues and arg L(1/2 + it, x)

14. The Prime Number Theormes of Hoheisel and Selberg

15. The Bombieri Vinogradov Theorem and other Applicaitons of the Large Sieve

16. A lemma in additive prime number theory

17. The mean value theorem of Barban

Appendix

Bibliography

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**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
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- Divisible by 9 Shortcut trick
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**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) ?