Math 587: Introduction to Analytic Number Theory. - Revision history

Dmd54 at 17:42, 26 July 2019

2019-07-26T17:42:18Z

2015-03-16T14:55:02Z

2011-01-19T22:31:43Z

2010-07-28T16:33:24Z

‎Minimal learning outcomes

2010-05-25T17:31:29Z

‎Minimal learning outcomes

2010-05-25T17:31:09Z

‎Minimal learning outcomes

2010-05-25T17:30:24Z

‎Minimal learning outcomes

2010-05-25T17:09:32Z

‎Prerequisites

2010-05-25T16:45:52Z

‎Courses for which this course is prerequisite

2010-05-25T16:45:43Z

‎Additional topics

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 Possible textbooks for this course include (but are not limited to):
+* Tom Apostol, <em>Introduction to Analytic Number Theory</em>
 === Additional topics ===

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 === Offered ===
+Contact Department
 === Prerequisite ===

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 Students should be familiar with the following concepts. They should know the technical terms, and be able to implement the methods taught in the course to work associated problems, including proving simple results.
-<ul>
+<div style="-moz-column-count:2; column-count:2;">
 #'''Arithmetic functions'''
 #*convolution of arithmetic functions
@@ Line 57: / Line 57: @@
 #*Generating functions for partitions
 #*Euler's pentagonal-number theorem
-#*Jacobi's triple product identity and its consequences.
+#*Jacobi's triple product identity and its consequences.<br><br><br>
-</ul>
+</div>
-<div style="-moz-column-count:2; column-count:2;">
+Possible textbooks for this course include (but are not limited to):
-</div>
 === Additional topics ===

@@ Line 50: / Line 50: @@
 #'''The zeta function and the Dirichlet L-functions'''
 #*Properties of the gamma function
-#*Harwitz zeta function
+#*Hurwitz zeta function
 #*Analytic continuation of &zeta;(''s'') and ''L''(''s'', &chi;)
 #*functional equation for &zeta;(''s'') and ''L''(''s'', &chi;)

@@ Line 48: / Line 48: @@
 #*Euler products
 #*Perron's formula for partial sums
-#'''The functions &zeta;(''s'') and ''L''(''s'', &chi';)'''
+#'''The zeta function and the Dirichlet L-functions'''
 #*Properties of the gamma function
 #*Harwitz zeta function

← Older revision	Revision as of 22:31, 19 January 2011
(No difference)

@@ Line 34: / Line 34: @@
 #'''Elementary theorems on distribution of prime numbers'''
 #*Chebyshev's inequalities
-#*Asymptotic formula for :<math>\sum_{p\le x} 1/p</math>
+#*Mertens' theorem
 #'''Finite abelian groups and their characters'''
 #*characters of finite abelian groups

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 === Prerequisites ===
-A knowledge of complex analysis at the level of a first course such as Math 352 should suffice.
+A knowledge of complex analysis at the level of a first course such as [[Math 352]] should suffice.
 === Minimal learning outcomes ===

← Older revision		Revision as of 16:45, 25 May 2010
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	=== Courses for which this course is prerequisite ===		=== Courses for which this course is prerequisite ===
		+	None

	[[Category:Courses\|587]]		[[Category:Courses\|587]]

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 === Additional topics ===
 === Courses for which this course is prerequisite ===
 [[Category:Courses|587]]