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Coefficients of the n-fold Theta Function and Weyl Group Multiple Dirichlet Series
Dirichlet Series Theta Function
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2015/7/6
We establish a link between certain Whittaker coecients of the generalized
metaplectic theta functions, rst studied by Kazhdan and Patterson [14], and
the coecients of the stable Weyl group multi...
A Riemann theta function formula with its application to double periodic wave solutions of nonlinear equations
Riemann theta function Hirota's bilinear form nonlinear equations
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2010/4/1
Based on a Riemann theta function and Hirota's bilinear form, a lucid and straightforward way is presented to explicitly construct double periodic wave solutions for both nonlinear differential and di...
Separation of variables and explicit theta-function solution of the classical Steklov--Lyapunov systems: A geometric and algebraic geometric background
Separation of variables explicit theta-function solution
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2010/4/6
The paper revises the explicit integration of the classical Steklov--Lyapunov systems via separation of variables, which was first made by F. K\"otter in 1900, but was not well understood until recent...
X. S. Wang, Asymptotics of the q-Theta Function
asymptotics q-Theta function Jacobi Theta functions asymptotic formula asymptotically equal
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2009/6/16
An asymptotic formula is given to the q-Theta function
Qq(x) :=
¥å
k=¡¥
qk2
xk