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Lemmermeyer F. — Reciprocity Laws: From Euler to Eisenstein
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Название: Reciprocity Laws: From Euler to EisensteinАвтор: Lemmermeyer F. Аннотация: 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 Eisenstein's reciprocity law. An extensive bibliography will be of interest to readers interested in the history of reciprocity laws or in the current research in this area.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2000Количество страниц: 516Добавлена в каталог: 05.04.2008Операции: Положить на полку |
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Sansone 175 180 Satge 175 Sato 142 225 227 Sbrana 225 277 Schaar 103 413 Schappacher 103 261 276 277 344 Scharlau, W. 11 16 18 21 25 272 Scheffler 20 140 Scheibner 26 170 201 226 275 Schering 21 23 26 200 414 Scherk 141 Schertz 265 Schiappa — Monteiro 25 Schinzel 25 136 Schmid, H.L. 138 Schmidt, F.K., x 25 338 344 Schmidt, H. 32 414 Schmidt, W.M. 345 Schmitt 24 Schneider 344 Schoenemann 25 101 160 162 174 254 274 413 Schoenheim 26 Scholz 23 27 160 166 183 Schoof 26 137 346 382 383 396 Schroter 100 Schuh 136 415 Schuhmann 34 Schulte 136 Schumacher 100 schur 103 342 Schwarz 25 Schwering 277 280 392 Schwermer 25 Scott 141 Seidel xv Selberg 141 Selmer 228 Senior 143 Serre 263 345 390 396 Serret 12 Sesiano 11 Shafarevich xii 60 70 Shallit 26 59 102 119 Shanks 26 103 228 Shapiro 21 Sharifi 102 203 229 397 Shimaura 392 Shimura, xi 71 187 276 392 Shintani 383 Shirai 227 Shiratani 201 277 392 Shokrollahi 394 Shult 24 Siegel 18 103 267 383 Sierpinski 310 Silverman 342 396 Silvester 70 Similar 47 50 Singh 26 342 singular 336 Sinnott 382 Skolem 16 102 137 225 415 416 Slavutskij 24 Small 345 Smith, H.J. 21—23 101 170 201 275 Smith, S. 25 Snake lemma 49 72 Solomon 386 Solovyev 270 275 277 Sommer xii Sorenson 26 Soule 387 Spearman 138 140 144 225 393 Speckmann 26 Speiser 69 103 389 Spiegelungssatz 377 390 Spies 201 Split sequence 75 Springer 21 Srivastav 389 Stalker 204 275 Stankowitsch 26 Stanton 138 Stark 141 328 333 345 383 Steenvoorden 13 Stefanescu 275 Steinbacher 103 Steinberg symbol 65 Stengel 101 Stepanov 27 105 138 140 345 Stern 25 26 225 227 313 342 392 413 Sterneck 26 Stevenhagen 59 70 265 312 395 Stevens 396 Stevin 1 Stichtenoth 345 Stickelberger 116 131 137 140 145 146 225 310 313 357 358 366 391 394 395 Stickelberger ideal 371 379 395 Stickelberger index 379 Stickelberger relation 357 391 Stickelberger’s congruence 128 366 391 396 398 Stickelberger’s theorem 371 Stieltjes 25 202 225 415 Stillwell 32 Stoerchi 25 70 Stohr 345 Stouff 202 Strnad 100 Stroeker 175 Sun, Q. 229 Sun, Z. 173 174 226 228 Suzuki, J. 395 SWAN 80 137 416 417 Swinnerton-Dyer xii Sylvester 23 26 102 228 343 395 Tafelmacher 21 100 414 Takagi ix xiii 136 261 276 277 334 377 378 393 415 Takenouchi 277 Tamarkin 26 Tamme 378 395 Tangedal 384 Taniyama 187 276 392 Tanner 141 393 Tardy 203 Tate viii x 21 136 342 345 384 385 396 Tate — Shafarevich group 136 175 Taylor, L. 26 181 Taylor, M.J. 311 390 Taylor, R. 396 te Riele 343 Teege 20 101 103 415 Terasoma 137 Terjanian 343 396 Terras 139 Thaine 137 357 387 Thakur 139 Theorem, 90 (Hilbert’s) 47 209 Theorem, Abel’s 250 Theorem, Dirichlet’s 19 Theorem, Herbrand’s 375 Theorem, Kronecker — Weber 80 103 104 Theorem, Legendre’s 7 14 16 28 54 Theorem, Liouville’s 248 Theorem, Principal Genus 53 69 Theorem, Stickelberger — Voronoi 116 137 Theorem, Stickelberger’s 371 372 Theorem, Wilson’s 203 Thomas 344 thue 27 Tihanyi 226 Tolimieri 139 417 Tollis 343 Tomic 103 Tonelli 26 Top 175 Torelli 26 Totally, negative 45 Totally, positive 45 Trace 43 127 Tschebotaroew 170 Tsunekawa 170 Tsvetkov 137 Tunnell 119 Turaev 141 TVost 136 Tychonov 401 Unger 27 140 344 Unit group 44 Upadhyaya 141 Vaidyanathaswamy 25 226 342 van de Lune 343 Van den Heuvel xv Van der Blij 23 Van der Geer 346 van der Poorten 25 344 396 Van Veen 416 Vandermonde 100 137 Vandiver 26 27 174 396 Vandiver’s Conjecture 378 387 Vaughan 143 Vazzana 174 Venedem xv Venkataraman 141 Venkov 171 342 Villegas 277 Vinogradov 27 105 278 Vladut 277 Voegeli — Fandel xv 174 Voigt 21 414 Voloch 345 Von Grosschmid 25 26 Von Lienen 175 227 310 von Mangoldt 343 Von Staudt 26 100 101 413 voronoi 116 137 394 Vuillemin 11 Wada 69 Wagon 12 Wagstaff 23 wall 70 Walling 25 Wallis 267 Walsh 25 Walum 140 Wantzel 100 Ward 70 174 Warren 73 Washington 79 124 137 141 342 346 382 383 385 387 391 Washio 392 Watabe 201 225 277 Watanabe, K. 275 Watanabe, T. 417 Waterhouse 23 103 137 143 Weber 23 26 69 103 137 265 276 277 331 Weierstra 250 Weierstra 248 276 Weierstra 250 WeierstraB 248 Weight 263 Weil Conjectures xi 341 344 345 Weil, A., V., xi 11 22 138 274— 276 278 341 345 346 393 416 Weil, S. 22 Weinberger 175 228 Welmin 170 312 Wendt 395 Western 170 291 296 310 393 Whitehead 415 Whiteman 25 140 310 313 343 416 Whybum 26 136 Wichert 270 Widmer 140 344 Wieferich 401 Wieferich prime 401 Wiles, xii 379 386 387 396 Williams, H.C. 59 102 139 175 177 228 232 Williams, K.S. 16 25 30 101 138—141 144 164 172 176 201 202 225 226 293 310 312 313 343 393 Wilson 70 winter 343 Witt 330 Wojcik 393 Woltman 58 70 Wong 137 Wreath product 186 202 Wright xii Wu 310 Wurzelzahl 388 Wussing 34 Wyman 174 Xu 13 Yamamoto, K. 103 140 146 278 313 Yamamoto, Y. 172 175 Ying 25 Yoon 141 Yorinaga 70 Young, J. 231 Young, P.T. 417 Zagier 12 69 330 417 Zahidi 137 Zaldivar xv Zantema 417 Zariski topology 341 Zarnke 175 228 Zassenhaus 103 416 Zee 141 142 Zeitz 20 Zeller 21 26 413 Zeta function, congruence 337 Zeta function, Dedekind’s 331 Zeta function, Hurwitz’s 332 Zeta function, partial 332 Zeta function, Riemann’s 248 263 329 Ziegler 12 Zignago 20 33 Zimmer 13 344 Zolotarev 23 32 413 Zuravskij 226
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