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Formulas for central critical values of twisted L-functions attached to paramodular forms
Formulas central critical values of twisted L-functions paramodular forms Number Theory
2012/6/7
In the 1980s B\"ocherer formulated a conjecture relating the central values of the imaginary quadratic twists of the spin L-function attached to a Siegel modular form $F$ to the Fourier coefficients o...
We give an explicit construction of a pseudorandom generator for read-once formulas whose inputs can be read in arbitrary order. For formulas in n inputs and arbitrary gates of fan-in at most d = O(n=...
Algebraic proofs over noncommutative formulas
Proof complexity Algebraic proof systems Frege proofs Lower bounds Polynomial calculus
2012/12/4
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least as strong as Frege, ...
Some inversion formulas and formulas for Stirling numbers
Inversion formula Inverse function Stirling number
2011/2/22
In the paper we present some new inversion formulas and two new formulas for Stirling numbers.
Formulas for the Fourier Coefficients of Cusp Form for Some Quadratic Forms
representation of numbers quadratic forms generalized theta series Fourier coefficient of cusp forms
2010/2/26
In this paper, representations of positive integers by certain quadratic forms Qp defined for odd prime p are examined. The number of representations of positive integer n by the quadratic form Qp, is...