1,107 research outputs found
T-adic exponential sums under diagonal base change
Twistec T-adic exponential sums are studied. As an application, the behavior
of the L-function under diagonal base chang is explicitely given
Gold type codes of higher relative dimension
Some new Gold type codes of higher relative dimension are introduced. Their
weight distribution is determined
Sublattices of finite index
Assuming the Gowers Inverse conjecture and the M\"{o}bius conjecture for the
finite parameter , Green-Tao verified Dickson's conjecture for lattices
which are ranges of linear maps of complexity at most . In this paper, we
reformulate Green-Tao's theorem on Dickson's conjecture, and prove that, if
is the range of a linear map of complexity , and is a sublattice of
of finite index, then is the range of a linear map of complexity .Comment: Revised on Jan. 5, 200
The prime ideals in every class contain arbitrary large truncated classes
We prove that the prime ideals in every class of a number field contain
arbitrary large truncated ideal classes.Comment: This is a generalization of Green-Tao's prime arithmetic progression
theorem to number field
A sup-Hodge bound for exponential sums
The -function of -adic exponential sums is studeid. An explicit
arithmetic bound is established for the Newton polygon of the -function.
This polygon lies above the Hodge polygon. It gives a sup-Hodge bound of the
-function of -power order exponential sums
Review of D Semi-leptonic Decays
Semi-leptonic D decays continue to play an important role in the field of
flavor physics. During this presentation, recent measurements from
pseudo-scalar to pseudo-scalar modes, pseudo-scalar to vector modes, and rare
modes will be discussed. These results are important for many purposes, such as
validating the machinery of lattice QCD, extracting CKM matrix elements, and
searching for new physics and new interactions.Comment: to appear in the proceedings of The 5th International Workshop on
Charm Physics (Charm 2012
Arithmetic progressions of primes in short intervals
Green and Tao proved that the primes contains arbitrarily long arithmetic
progressions. We show that, essentially the same proof leads to the following
result: The primes in an short interval contains many arithmetic progressions
of any given length
Subadditive stake systems
Stake systems which issue stakes as well as coins are proposed. Two
subadditive stake systems are studied: one is the radical stake system, the
other is the logarithmic stake system. Securities of both systems are analysed.Comment: arXiv admin note: substantial text overlap with arXiv:1804.1113
Generic exponential sums associated to Laurent polynomials in one variable
Generic Newton polygons for L-functions of exponential sums associated to
Laurent polynomials in one variable are determined. The corresponding Hasse
polynomials are also determined
The L-functions of twisted Witt extensions
The L-function of a non-degenerate twisted Witt extension is proved to be a
polynomial. Its Newton polygon is proved to lie above the Hodge polygon of that
extension. And the Newton polygons of the Gauss-Heilbronn sums are explicitly
determined, generalizing the Stickelberger theorem.Comment: 16 page
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