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» On integer values of Kloosterman sums
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TIT
2010
118views Education» more  TIT 2010»
13 years 2 months ago
On integer values of Kloosterman sums
Abstract. In this note we use Carlitz's lifting formula for Kloosterman sums and some results from the theory of cyclotomic fields to show that a Kloosterman sum over a finite...
Keijo Petteri Kononen, Marko Juhani Rinta-Aho, Kei...
DM
1999
75views more  DM 1999»
13 years 7 months ago
Real and integer domination in graphs
For an arbitrary subset P of the reals, we define a function f: V P to be a Pdominating function of graph G = (V, E) if the sum of the function values over any
Wayne Goddard, Michael A. Henning
CIE
2010
Springer
13 years 11 months ago
How Powerful Are Integer-Valued Martingales?
In the theory of algorithmic randomness, one of the central notions is that of computable randomness. An infinite binary sequence X is computably random if no recursive martingale...
Laurent Bienvenu, Frank Stephan, Jason Teutsch
STOC
2001
ACM
97views Algorithms» more  STOC 2001»
14 years 8 months ago
Sharp threshold and scaling window for the integer partitioning problem
We consider the problem of partitioning n integers chosen randomly between 1 and 2m into two subsets such that the discrepancy, the absolute value of the difference of their sums,...
Christian Borgs, Jennifer T. Chayes, Boris Pittel
WADS
2001
Springer
106views Algorithms» more  WADS 2001»
14 years 2 days ago
Succinct Dynamic Data Structures
Abstract. We develop succinct data structures to represent (i) a sequence of values to support partial sum and select queries and update (changing values) and (ii) a dynamic array ...
Rajeev Raman, Venkatesh Raman, S. Srinivasa Rao