共查询到20条相似文献,搜索用时 31 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
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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,
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16.
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
17.
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
18.
M. Obradovi? 《Journal of Mathematical Analysis and Applications》2007,336(2):758-767
Let U(λ) denote the class of all analytic functions f in the unit disk Δ of the form f(z)=z+a2z2+? satisfying the condition
19.
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
20.
Jian-Lin Li 《Journal of Mathematical Analysis and Applications》2007,332(1):164-170
For the logarithmic coefficients γn of a univalent function f(z)=z+a2z2+?∈S, the well-known de Branges' theorem shows that