AN INTRODUCTION TO THE THEORY OF LOCAL ZETA FUNCTIONS (AMS/IP Studies in Advanced Mathematics 14) By JUN-ICHI IGUSA: 232 pp., US$45.00 ISBN 0-8218-2015-X (American Mathematical Society, Providence, RI, 2000).

2001 ◽  
Vol 33 (4) ◽  
pp. 492-512
Author(s):  
Marcus du Sautoy
Keyword(s):  
American Mathematical Society ◽  
Zeta Functions ◽  
Mathematical Society ◽  
Advanced Mathematics ◽  
Local Zeta Functions

scholarly journals Cross-sections of unknotted ribbon disks and algebraic curves

2019 ◽  
Vol 155 (2) ◽  
pp. 413-423
Author(s):  
Kyle Hayden
Keyword(s):  
Cross Sections ◽  
Algebraic Curves ◽  
American Mathematical Society ◽  
Geometric Topology ◽  
Mathematical Society ◽  
Advanced Mathematics ◽  
Low Dimensional Topology ◽  
Low Dimensional ◽  
Holomorphic Disks

We resolve parts (A) and (B) of Problem 1.100 from Kirby’s list [Problems in low-dimensional topology, in Geometric topology, AMS/IP Studies in Advanced Mathematics, vol. 2 (American Mathematical Society, Providence, RI, 1997), 35–473] by showing that many nontrivial links arise as cross-sections of unknotted holomorphic disks in the four-ball. The techniques can be used to produce unknotted ribbon surfaces with prescribed cross-sections, including unknotted Lagrangian disks with nontrivial cross-sections.

scholarly journals IWASAWA THEORY FOR ONE-PARAMETER FAMILIES OF MOTIVES

2012 ◽  
Vol 09 (02) ◽  
pp. 257-319
Author(s):  
PETER BARTH
Keyword(s):  
American Mathematical Society ◽  
Zeta Functions ◽  
Iwasawa Theory ◽  
Mathematical Society ◽  
Selmer Groups ◽  
Main Conjecture ◽  
Classical Notion

In [A formulation of conjectures on p-adic zeta functions in non-commutative Iwasawa theory, in Proc. St. Petersburg Mathematical Society, Vol. 12, American Mathematical Society Translations, Series 2, Vol. 219 (American Mathematical Society, Providence, RI, 2006), pp. 1–85] Fukaya and Kato presented equivariant Tamagawa number conjectures that implied a very general (non-commutative) Iwasawa main conjecture for rather general motives. In this article we apply their methods to the case of one-parameter families of motives to derive a main conjecture for such families. On our way there we get some unconditional results on the variation of the (algebraic) λ- and μ-invariant. We focus on the results dealing with Selmer complexes instead of the more classical notion of Selmer groups. However, where possible we give the connection to the classical notions.

scholarly journals Citations versus expert opinions: citation analysis of featured reviews of the American Mathematical Society

2021 ◽  
Vol 126 (5) ◽  
pp. 3853-3870
Author(s):  
Lawrence Smolinsky ◽  
Daniel S. Sage ◽  
Aaron J. Lercher ◽  
Aaron Cao
Keyword(s):  
Citation Analysis ◽  
American Mathematical Society ◽  
Mathematical Society ◽  
Expert Opinions

THE AMERICAN MATHEMATICAL SOCIETY

Science ◽  
1922 ◽  
Vol 55 (1431) ◽  
pp. 600-602
Author(s):  
R. G. D. Richardson
Keyword(s):  
American Mathematical Society ◽  
Mathematical Society
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