Knowledge

Shintani's unit theorem

Source 📝

195: 255: 236: 84: 155: 76: 110:
Shintani, Takuro (1976), "On evaluation of zeta functions of totally real algebraic number fields at non-positive integers",
44: 260: 229: 36: 150:, Tata Inst. Fund. Res. Studies in Math., vol. 10, Bombay: Tata Inst. Fundamental Res., pp. 255–260, 222: 62: 179: 151: 119: 80: 135: 98: 165: 131: 94: 161: 139: 127: 102: 90: 28: 206: 249: 202: 194: 40: 146:
Shintani, Takuro (1981), "A remark on zeta functions of algebraic number fields",
20: 112:
Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics
39:
and states that a subgroup of finite index of the totally positive units of a
123: 16:
On subgroups of finite index of the totally positive units of a number field
148:
Automorphic forms, representation theory and arithmetic (Bombay, 1979)
43:
has a fundamental domain given by a rational polyhedric cone in the
210: 230: 72:Grundlehren der mathematischen Wissenschaften 8: 70: 237: 223: 35:, proposition 4) is a refinement of 48: 32: 7: 191: 189: 256:Theorems in algebraic number theory 14: 193: 1: 209:. You can help Knowledge by 277: 188: 67:Algebraische Zahlentheorie 75:. Vol. 322. Berlin: 37:Dirichlet's unit theorem 25:Shintani's unit theorem 205:-related article is a 71: 180:Mathematical pictures 261:Number theory stubs 218: 217: 86:978-3-540-65399-8 268: 239: 232: 225: 197: 190: 182:by Paul Gunnells 168: 142: 106: 74: 63:Neukirch, Jürgen 51:, p. 507). 276: 275: 271: 270: 269: 267: 266: 265: 246: 245: 244: 243: 186: 176: 171: 158: 145: 109: 87: 77:Springer-Verlag 61: 57: 45:Minkowski space 17: 12: 11: 5: 274: 272: 264: 263: 258: 248: 247: 242: 241: 234: 227: 219: 216: 215: 198: 184: 183: 175: 174:External links 172: 170: 169: 156: 143: 118:(2): 393–417, 107: 85: 58: 56: 53: 47:of the field ( 27:introduced by 15: 13: 10: 9: 6: 4: 3: 2: 273: 262: 259: 257: 254: 253: 251: 240: 235: 233: 228: 226: 221: 220: 214: 212: 208: 204: 203:number theory 199: 196: 192: 187: 181: 178: 177: 173: 167: 163: 159: 157:3-540-10697-9 153: 149: 144: 141: 137: 133: 129: 125: 121: 117: 113: 108: 104: 100: 96: 92: 88: 82: 78: 73: 68: 64: 60: 59: 54: 52: 50: 49:Neukirch 1999 46: 42: 38: 34: 30: 26: 22: 211:expanding it 200: 185: 147: 115: 111: 66: 41:number field 24: 18: 21:mathematics 250:Categories 140:0349.12007 103:0956.11021 55:References 124:0040-8980 65:(1999). 29:Shintani 166:0633664 132:0427231 95:1697859 31: ( 164:  154:  138:  130:  122:  101:  93:  83:  201:This 207:stub 152:ISBN 120:ISSN 81:ISBN 33:1976 136:Zbl 99:Zbl 19:In 252:: 162:MR 160:, 134:, 128:MR 126:, 116:23 114:, 97:. 91:MR 89:. 79:. 69:. 23:, 238:e 231:t 224:v 213:. 105:.

Index

mathematics
Shintani
1976
Dirichlet's unit theorem
number field
Minkowski space
Neukirch 1999
Neukirch, Jürgen
Springer-Verlag
ISBN
978-3-540-65399-8
MR
1697859
Zbl
0956.11021
ISSN
0040-8980
MR
0427231
Zbl
0349.12007
ISBN
3-540-10697-9
MR
0633664
Mathematical pictures
Stub icon
number theory
stub
expanding it

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.