語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
The Riemann hypothesis for function ...
~
Van Frankenhuijsen, Machiel, (1967-)
The Riemann hypothesis for function fields = Frobenius flow and shift operators /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
The Riemann hypothesis for function fields/ Machiel van Frankenhuijsen.
其他題名:
Frobenius flow and shift operators /
作者:
Van Frankenhuijsen, Machiel,
出版者:
Cambridge :Cambridge University Press, : 2014.,
面頁冊數:
xii, 152 p. :ill., digital ; : 24 cm.;
標題:
Riemann hypothesis. -
電子資源:
https://doi.org/10.1017/CBO9781107238992
ISBN:
9781107238992
The Riemann hypothesis for function fields = Frobenius flow and shift operators /
Van Frankenhuijsen, Machiel,1967-
The Riemann hypothesis for function fields
Frobenius flow and shift operators /[electronic resource] :Machiel van Frankenhuijsen. - Cambridge :Cambridge University Press,2014. - xii, 152 p. :ill., digital ;24 cm. - London Mathematical Society student texts ;80. - London Mathematical Society student texts ;81..
This book provides a lucid exposition of the connections between non-commutative geometry and the famous Riemann Hypothesis, focusing on the theory of one-dimensional varieties over a finite field. The reader will encounter many important aspects of the theory, such as Bombieri's proof of the Riemann Hypothesis for function fields, along with an explanation of the connections with Nevanlinna theory and non-commutative geometry. The connection with non-commutative geometry is given special attention, with a complete determination of the Weil terms in the explicit formula for the point counting function as a trace of a shift operator on the additive space, and a discussion of how to obtain the explicit formula from the action of the idele class group on the space of adele classes. The exposition is accessible at the graduate level and above, and provides a wealth of motivation for further research in this area.
ISBN: 9781107238992Subjects--Topical Terms:
1201268
Riemann hypothesis.
LC Class. No.: QA246 / .V36 2014
Dewey Class. No.: 512.73
The Riemann hypothesis for function fields = Frobenius flow and shift operators /
LDR
:01805nam a2200265 a 4500
001
949358
003
UkCbUP
005
20151005020621.0
006
m d
007
cr nn 008maaau
008
200620s2014 enk o 1 0 eng d
020
$a
9781107238992
$q
(electronic bk.)
020
$a
9781107047211
$q
(hardback)
020
$a
9781107685314
$q
(paperback)
035
$a
CR9781107238992
040
$a
UkCbUP
$b
eng
$c
UkCbUP
$d
GP
041
0
$a
eng
050
4
$a
QA246
$b
.V36 2014
082
0 4
$a
512.73
$2
23
090
$a
QA246
$b
.V252 2014
100
1
$a
Van Frankenhuijsen, Machiel,
$d
1967-
$3
1238410
245
1 4
$a
The Riemann hypothesis for function fields
$h
[electronic resource] :
$b
Frobenius flow and shift operators /
$c
Machiel van Frankenhuijsen.
260
$a
Cambridge :
$b
Cambridge University Press,
$c
2014.
300
$a
xii, 152 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
London Mathematical Society student texts ;
$v
80
520
$a
This book provides a lucid exposition of the connections between non-commutative geometry and the famous Riemann Hypothesis, focusing on the theory of one-dimensional varieties over a finite field. The reader will encounter many important aspects of the theory, such as Bombieri's proof of the Riemann Hypothesis for function fields, along with an explanation of the connections with Nevanlinna theory and non-commutative geometry. The connection with non-commutative geometry is given special attention, with a complete determination of the Weil terms in the explicit formula for the point counting function as a trace of a shift operator on the additive space, and a discussion of how to obtain the explicit formula from the action of the idele class group on the space of adele classes. The exposition is accessible at the graduate level and above, and provides a wealth of motivation for further research in this area.
650
0
$a
Riemann hypothesis.
$3
1201268
650
0
$a
Noncommutative differential geometry.
$3
681235
650
0
$a
Algebraic fields.
$3
672441
830
0
$a
London Mathematical Society student texts ;
$v
81.
$3
1156767
856
4 0
$u
https://doi.org/10.1017/CBO9781107238992
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入