期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2020; 71 (4)
A monoid S is right coherent if every finitely generated subact of every finitely presented right S-act is finitely presented. This is a finiteness co......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2020; 71 (4)
We prove that vertical bar x - y vertical bar >= 800X(-4), where x and y are distinct singular moduli of discriminants not exceeding X. We apply th......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2020; 71 (3)
In this paper, we introduce a simple Bessel delta-method to the theory of exponential sums for GL(2). Some results of Jutila on exponential sums are g......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2020; 71 (3)
Let B-0(G) subset of k G be the principal block algebra of the group algebra k G of an infinitesimal group scheme G over an algebraically closed field......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2020; 71 (3)
In this paper, we study a large class of zeta functions. We evaluate explicitly the special values of these zeta functions and the associated derivati......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2020; 71 (1)
We establish integral formulas and sharp two-sided bounds for the Ricci curvature, mean curvature and second fundamental form on a Riemannian manifold......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2020; 71 (1)
Numerical experiments suggest that there are more prime factors in certain arithmetic progressions than others. Greg Martin conjectured that the funct......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2019; 70 (1)
In this paper, we study the induced representation Ind(G)(G)x(V-tau) with O-X the minimal nilpotent orbit of classical complex Lie group G and V-tau a......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2019; 70 (1)
If a finite group G acts topologically and faithfully on R-3, then G is isomorphic to a subgroup of O(3).
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2019; 70 (1)
In this paper, we study the symplectic cohomologies and symplectic harmonic forms which introduced by Tseng and Yau. Based on this, we get if (M-2n, o......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2019; 70 (2)
Let p,q be primes such that q p-1. Write Fn for the free group of rank n >= 1 and let G(p,q)=Cp?Cq. We show that any stably free module over Z[G(p,......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2019; 70 (2)
Let A be an F-algebra and S(A*) be the metric semi-group of normal states of the W*-algebra A*. We show that S(A*) determines A, when A* is of type I.......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2019; 70 (4)
In this paper, we study polar harmonic Maass forms of negative integral weight. Using work of Fay, we construct Poincare series which span the space o......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2019; 70 (3)
For two infinite sequences A and B of non-negative integers, if every sufficiently large integer can be expressed as the sum of two elements taken fro......
期刊： QUARTERLY JOURNAL OF MATHEMATICS, 2019; 70 (3)
In this paper, we establish a quantitative non-vanishing result on a class of twisted L-functions. A(s, c) of degree k, which satisfy some mild and st......
