共查询到20条相似文献,搜索用时 78 毫秒
1.
Matthew Boylan 《Journal of Number Theory》2003,98(2):377-389
Let F(z)=∑n=1∞a(n)qn denote the unique weight 16 normalized cuspidal eigenform on . In the early 1970s, Serre and Swinnerton-Dyer conjectured that
2.
Guangshi Lü 《Journal of Number Theory》2009,129(11):2790-2800
Let λ(n) be the nth normalized Fourier coefficient of a holomorphic Hecke eigencuspform f(z) of even integral weight k for the full modular group. In this paper we are able to prove the following results.
- (i)
- For any ε>0, we have
3.
Matija Kazalicki 《Journal of Number Theory》2008,128(6):1662-1669
For every positive integer m, there is a unique Drinfeld modular function, holomorphic on the Drinfeld upper-half plane, jm(z) with the following t-expansion
4.
Let (|q|<1). For k∈N it is shown that there exist k rational numbers A(k,0),…,A(k,k−1) such that
5.
Let −Dω(·,z)D+q be a differential operator in L2(0,∞) whose leading coefficient contains the eigenvalue parameter z. For the case that ω(·,z) has the particular form
6.
In this paper we investigate linear three-term recurrence formulae with sequences of integers (T(n))n?0 and (U(n))n?0, which are ultimately periodic modulo m, e.g.
7.
Michela Eleuteri 《Journal of Mathematical Analysis and Applications》2008,344(2):1120-1142
We prove regularity results for minimizers of functionals in the class , where is a fixed function and f is quasiconvex and fulfills a growth condition of the type
L−1|z|p(x)?f(x,ξ,z)?L(1+|z|p(x)), 相似文献
8.
Shin-ichiro Mizumoto 《Journal of Number Theory》2004,105(1):134-149
For j=1,…,n let fj(z) and gj(z) be holomorphic modular forms for such that fj(z)gj(z) is a cusp form. We define a series
9.
10.
Guangshi Lü 《Journal of Number Theory》2009,129(2):488-494
Recently Blomer showed that if α(n) denote the normalized Fourier coefficients of any holomorphic cusp form f with integral weight, then
11.
Let p(z) be a polynomial of degree n which does not vanish in |z|<k. It is known that for each q>0 and k?1,
12.
Let q>1 and m>0 be relatively prime integers. We find an explicit period νm(q) such that for any integers n>0 and r we have
13.
Jian-Hua Zheng 《Journal of Mathematical Analysis and Applications》2006,313(1):24-37
Let be a transcendental meromorphic function with at most finitely many poles. We mainly investigated the existence of the Baker wandering domains of f(z) and proved, among others, that if f(z) has a Baker wandering domain U, then for all sufficiently large n, fn(U) contains a round annulus whose module tends to infinity as n→∞ and so for some 0<d<1,
14.
15.
In 1964, S. Chowla asked if there is a non-zero integer-valued function f with prime period p such that f(p)=0 and
16.
17.
M.Z. Garaev 《Journal of Number Theory》2007,125(1):201-209
For a class of strictly increasing real valued functions f(n) we obtain an upper bound for the number of solutions of the equation
18.
Hao Pan 《Journal of Number Theory》2008,128(6):1646-1654
Let e?1 and b?2 be integers. For a positive integer with 0?aj<b, define
19.
J. Mc Laughlin 《Journal of Number Theory》2007,127(2):184-219
Let f(x)∈Z[x]. Set f0(x)=x and, for n?1, define fn(x)=f(fn−1(x)). We describe several infinite families of polynomials for which the infinite product
20.
L.D. Abreu F. Marcellan S.B. Yakubovich 《Journal of Mathematical Analysis and Applications》2008,341(2):803-812
Motivated by the G.H. Hardy's 1939 results [G.H. Hardy, Notes on special systems of orthogonal functions II: On functions orthogonal with respect to their own zeros, J. London Math. Soc. 14 (1939) 37-44] on functions orthogonal with respect to their real zeros λn, , we will consider, under the same general conditions imposed by Hardy, functions satisfying an orthogonality with respect to their zeros with Jacobi weights on the interval (0,1), that is, the functions f(z)=zνF(z), ν∈R, where F is entire and