 About 784,000 results  books.google.com where vi is the twodimensional representation of G(L/Fi) = His, i/8, or #i2 given
by the restriction of v. In the tamely ramified case (2.20) and the calculations of
symplectic root numbers in [Fr, pp. 49,199 et seq.] suffice to evaluate (2.20). 2.21. 

 books.google.com 
 books.google.com The representations considered here will be always over an algebraically closed
field K of characteristic zero. (The usual choice is to take K to be the complex
numbers C. We shall, however, take K to be an algebraic closure Q, of the /•adic ... 

 books.google.com (n) for the excess of the number of representations of n in the form (6r)2 + (6s + l)
2 over the number of those in the form (6r + 2)2 + (6s + 3)2, provided n = 1 (mod
12), whence the representations of n as a El are of one of those two types. 

 books.google.com Therefore, in case (ii), there is a onetoone correspondence between
representations (31) and representations (50) of the number u as sums of four
squares. In virtue of what we have proved above, the number of the
representations of 4u as ... 

 books.google.com Stanley Rabinowitz, Mark Bowron. Number representations: Fibonacci numbers
Problems sorted by topic Problems sorted by topic Problems sorted by topic
Problems sorted. Palindromes i.e., the average value of d^(n) forn < x is ... 

 books.google.com The set of real numbers can also be constructed in various ways, for example by
means of Dedekind cuts or by ... 4.1 we introduce several representations of the
real numbers, three of which (and the equivalent ones) will survive as useful. 

 books.google.com unit ball of X onto the open unit ball of Y is called a metric surjection. An Sfunction
... A list of commonly used snumbers is given below for arbitrary Se B(X, Y) and
n e N: (i) the approximation numbers an (S), an (S) = inf{S – F: Fe B(X, Y), rank ... 

 books.google.com J . W. L. Glaisherm wrote 4G'(n) for the excess of the number of representations of
n in the form (6r)” + (6s + 1)2 over the number of those in the form (61' + 2)” + (6s
+ 3)', provided n E 1 (mod 12), whence the representations of n as a [2] are of ... 

 books.google.com Typical examples are the set of real numbers or the set of threedimensional real
vectors. Now, unless we are hardnosed Platonists in the philosophy of
mathematics, it would not be adequate to take such auxiliary sets to be part of the
theory's ... 

 