搜索结果: 1-15 共查到“数论 L-functions”相关记录16条 . 查询时间(0.515 秒)
An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions
the zero-counting formulae Dirichlet $L$-functions Dedekind zeta-functions Number Theory
2012/6/30
This paper contains new explicit upper bounds for the number of zeroes of Dirichlet L-functions and Dedekind zeta-functions in rectangles.
Distinct zeros and simple zeros of Dirichlet $L$-functions
simple zeros distinct zeros Dirichlet L-function
2012/6/29
We study the number of distinct zeros and simple zeros of Dirichlet $L$-function by using Asymptotic Large Sieve in this paper. In asymptotic terms, we prove that there are more than 66.43% of zeros o...
We give a congruence for L-functions coming from affine additive exponential sums over a finite field. Precisely, we give a congruence for certain operators coming from Dwork's theory. This congruence...
Locally harmonic Maass forms and rational period functions
hyperbolic Poincare series harmonic weak Maass forms cusp forms lifting maps Shimura lift Shintani lift
2012/6/21
In this paper we define a new type of modular object and construct explicit examples of such functions. Our functions are closely related to cusp forms constructed by Zagier which played an important ...
The normality of digits in almost constant additive functions
Normal numbers additive function Selberg-Delange method
2012/6/21
We consider numbers formed by concatenating some of the base b digits from additive functions f(n) that closely resemble the prime counting function \Omega(n). If we concatenate the last
The Asymptotic Behavior of Compositions of the Euler and Carmichael Functions
The Asymptotic Behavior Compositions the Euler Carmichael Functions Number Theory
2012/6/14
We compare the asymptotic behavior of Carmichael's lambda function composed with Euler's totient function to the asymptotic behavior of Carmichael's lambda function composed with itself. We establish ...
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...
A study on multiple zeta values from the viewpoint of zeta-functions of root systems
multiple zeta values zeta-functions of root systems Number Theory
2012/5/9
We study multiple zeta values (MZVs) from the viewpoint of zeta-functions associated with the root systems which we have studied in our previous papers. In fact, the $r$-ple zeta-functions of Euler-Za...
A Unified Generating Function of the q-Genocchi Polynomials with their Interpolation Functions
Genocchi numbers and polynomials q-Genocchi numbers and polynomials Number Theory
2011/9/23
Abstract: The purpose of this paper is to construct of the unification q-extension Genocchi polynomials. We give some interesting relations of this type of polynomials. Finally, we derive the q-extens...
A Random Matrix Model for Elliptic Curve $L$-Functions of Finite Conductor
Elliptic Curves Low Lying Zeros n-Level Statistics Random Matrix Theory Jacobi Ensembles Characteristic Polynomial
2011/9/19
Abstract: We propose a random matrix model for families of elliptic curve L-functions of finite conductor. A repulsion of their critical zeros away from the center of the critical strip was observed b...
On the subconvexity problem for $GL(3)\times GL(2)$ $L$-functions
the subconvexity problem Number Theory
2011/9/1
Abstract: Fix $g$ a self-dual Hecke-Maass form for $SL_3(\mathbb{Z})$. Let $f$ be a holomorphic newform of prime level $q$ and fixed weight. Conditional on a lower bound for a short sum of squares of ...
Optimal ambiguity functions and Weil's exponential sum bound
Optimal ambiguity functions Weil's exponential sum bound Number Theory
2011/8/31
Abstract: Complex-valued periodic sequences, u, constructed by Goran Bjorck, are analyzed with regard to the behavior of their discrete periodic narrow-band ambiguity functions A_p(u). The Bjorck sequ...
Non-abelian $p$-adic $L$-functions and Eisenstein series of unitary groups; the CM method
Eisenstein series unitary groups the CM method Number Theory
2011/8/26
Abstract: In this work we prove the so-called "torsion congruences" between abelian $p$-adic $L$-functions that are related to automorphic representations of definite unitary groups. These congruences...
Trivial zeros of p-adic L-functions at near central points
Trivial zeros p-adic L-functions central points Number Theory
2011/8/26
Abstract: Using the $\scr L$-invariant constructed in our previous paper we prove a Mazur-Tate-teitelbaum style formula for derivatives of p-adic L-functions at near central points.
Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions
Mock period functions sesquiharmonic Maass forms non-critical values of L-functions
2011/8/24
Abstract: We introduce a new technique of completion for 1-cohomology which parallels the corresponding technique in the theory of mock modular forms. This technique is applied in the context of non-c...