Reciprocity Laws: From Euler to Eisenstein

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Springer Science & Business Media, May 6, 2000 - Mathematics - 487 pages
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This book is about the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will particularly appeal to readers interested in the history of reciprocity laws or in the current research in this area.
  

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Contents

II
1
IV
3
V
6
VI
9
VII
43
IX
47
X
52
XI
56
XXXIX
212
XL
217
XLI
220
XLII
235
XLIII
236
XLIV
239
XLV
247
XLVI
251

XII
60
XIII
79
XV
85
XVI
93
XVII
97
XVIII
111
XX
114
XXI
116
XXII
119
XXIII
121
XXIV
126
XXV
153
XXVI
154
XXVII
160
XXVIII
161
XXIX
164
XXX
168
XXXI
185
XXXII
186
XXXIII
190
XXXIV
194
XXXV
197
XXXVI
198
XXXVII
209
XLVII
256
XLVIII
260
XLIX
265
L
289
LII
292
LIII
299
LIV
304
LV
307
LVI
317
LVIII
321
LIX
326
LX
328
LXI
335
LXII
357
LXIV
361
LXV
366
LXVI
371
LXVII
411
LXVIII
413
LXIX
418
LXX
419
LXXI
472
LXXII
484
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About the author (2000)

Falko Lorenz lehrt an der Universit?t M?nster und ist ausw?rtiges Mitglied der Akademie gemeinn?tziger Wissenschaften zu Erfurt. Franz Lemmermeyer lehrt an der Universit?t Bilkent in Ankara.

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