Riemann's Zeta Function

앞표지
Courier Corporation, 2001. 1. 1. - 315페이지
Superb high-level study of one of the most influential classics in mathematics examines landmark 1859 publication entitled “On the Number of Primes Less Than a Given Magnitude,” and traces developments in theory inspired by it. Topics include Riemann's main formula, the prime number theorem, the Riemann-Siegel formula, large-scale computations, Fourier analysis, and other related topics. English translation of Riemann's original document appears in the Appendix.
 

선택된 페이지

목차

III
1
IV
6
V
7
VI
9
VII
11
VIII
12
IX
15
X
16
LV
134
LVI
136
LVII
137
LVIII
141
LIX
145
LX
148
LXI
155
LXII
162

XI
18
XII
20
XIII
22
XIV
23
XV
25
XVI
26
XVII
29
XVIII
31
XIX
33
XX
36
XXI
37
XXII
39
XXIII
40
XXIV
41
XXV
42
XXVII
43
XXVIII
45
XXIX
46
XXX
48
XXXI
50
XXXII
54
XXXIII
56
XXXIV
58
XXXV
61
XXXVI
62
XXXVII
66
XXXVIII
68
XXXIX
70
XL
72
XLI
76
XLII
78
XLIII
79
XLIV
81
XLV
84
XLVI
88
XLVII
91
XLVIII
96
XLIX
98
L
106
LI
114
LII
119
LIII
127
LIV
132
LXIII
164
LXIV
166
LXV
171
LXVI
172
LXVII
175
LXVIII
179
LXIX
182
LXX
183
LXXI
187
LXXII
188
LXXIII
190
LXXIV
193
LXXV
195
LXXVI
199
LXXVII
203
LXXVIII
205
LXXIX
206
LXXX
209
LXXXI
212
LXXXII
213
LXXXIII
215
LXXXIV
216
LXXXV
217
LXXXVI
218
LXXXVII
226
LXXXVIII
229
LXXXIX
237
XC
246
XCI
260
XCIII
263
XCIV
268
XCV
269
XCVII
273
XCVIII
278
XCIX
281
C
284
CI
288
CII
298
CIII
299
CIV
306
CV
311
저작권

기타 출판본 - 모두 보기

Riemann's Zeta Function
Harold M. Edwards
일부보기 - 2001
Riemann's Zeta Function
Harold M. Edwards
짧은 발췌문 보기 - 2001

자주 나오는 단어 및 구문

analytic continuation analytic function approaches zero approximation average B₂ Backlund bounded C₁ Chebyshev circle coefficients computations const constant times log converges defined definite integral denote derivative dy(x estimate Euler Euler product Euler-Maclaurin summation evaluation fact Farey series follows formula for J(x Fourier functional equation gives Gram points Gram's law halfplane hence imaginary implies inequality infinite integrand interval Lehmer less Li(x limit Lindelöf hypothesis Lindelöf's theorem line Res Littlewood log II(s log(s logarithmic derivative Math method Möbius inversion modulus number of roots O(log operator f(x pole positive real prime number theorem product formula proof range real axis real numbers relative error Riemann hypothesis Riemann-Siegel formula right side shown shows statement Stieltjes Stirling's formula Stirling's series sufficiently large term omitted termwise integration theory tion Titchmarsh transform valid Vallée Poussin's zeta function Σπί

도서 문헌정보

제목Riemann's Zeta Function
Dover books on mathematics
58권/Pure and applied mathematics
저자Harold M. Edwards
에디션일러스트, 무삭제, 재판
발행인Courier Corporation, 2001
ISBN0486417409, 9780486417400
길이315페이지
  
서지정보 내보내기BiBTeX EndNote RefMan