A density theorem and extreme values of automorphic L-functions at one
We establish a density theorem for symmetric power L-functions attached to primitive Maass forms and explore some applications to extreme values of these L-functions at 1.
A descent map for curves with totally degenerate semi-stable reduction
Let be a local field of residue characteristic . Let be a curve over whose minimal proper regular model has totally degenerate semi-stable reduction. Under certain hypotheses, we compute the prime-to- rational torsion subgroup on the Jacobian of . We also determine divisibility of line bundles on , including rationality of theta characteristics and higher spin structures. These computations utilize arithmetic on the special fiber of .
A determinant formula for congruence zeta functions of maximal real cyclotomic function fields
A determinant formula for the relative class number of an imaginary abelian number field
We give a new formula for the relative class number of an imaginary abelian number field by means of determinant with elements being integers of a cyclotomic field generated by the values of an odd Dirichlet character associated to . We prove it by a specialization of determinant formula of Hasse.
A different -analogue of Euler numbers. (Un autre -analogue des nombres d'Euler.)
A differential criterion for complete intersections.
A dimension formula for Ekedahl-Oort strata
We study the Ekedahl-Oort stratification on moduli spaces of PEL type. The strata are indexed by the classes in a Weyl group modulo a subgroup, and each class has a distinguished representative of minimal length. The main result of this paper is that the dimension of a stratum equals the length of the corresponding Weyl group element. We also discuss some explicit examples.
A Dimension Formular for a Certain Space of Automorphic Forms of SU (p,1).
A Diophantine equation in virus structure.
A diophantine inequality involving prime powers
A Diophantine inequality with four squares and one th power of primes
Let be an odd integer and be any given real number. We prove that if , , , , are nonzero real numbers, not all of the same sign, and is irrational, then for any real number with , the inequality has infinitely many solutions in prime variables , where for and for odd integer with . This improves a recent result in W. Ge, T. Wang (2018).
A Diophantine problem on algebraic curves over function fields of positive characteristic
A Diophantine property associated with prime twins.
A diophantine system.
A Direct Proof of a Theorem of Roth.
A Dirichlet Series Associated to Eisenstein Series of Degree Two.
A Dirichlet series for Hermitian modular forms of degree 2
A Dirichlet series for modular forms of degree n
A discontinuity in the distribution of fixed point sums.
A discrete Fourier kernel and Fraenkel's tiling conjecture