On certain statistical properties of continued fractions with even and with odd partial quotients
On certain sum in number theory
On Certain Sums Involving Von Mangoldt's Function In Short Intervals
On certain sums over ordinates of zeta-zeros
On certain trigonometric sums in several variables.
On certain twisted families of elliptic curves of rank 8.
On Certain Vector Valued Siegel Modular Forms of Degree Two.
On character sums and the non-vanishing for s > 0 of Dirichlet L-series belonging to real odd characters χ
On character sums of rational functions over local fields
On characteristic zeta functions
On characterization of Dirichlet L-functions
On characters and polynomials
On characters of order p (mod p²)
On Chebyshev polynomials and maximal curves
On Chebyshev's inequalities for Beurling's generalized primes
On Chebyshev's polynomials and certain combinatorial identities.
On Chinburg's second conjecture for abelian fields.
On class numbers of some cyclotomic fields.
On classical weight one forms in Hida families
We give precise estimates for the number of classical weight one specializations of a non-CM family of ordinary cuspidal eigenforms. We also provide examples to show how uniqueness fails with respect to membership of weight one forms in families.
On classifying Laguerre polynomials which have Galois group the alternating group
We show that the discriminant of the generalized Laguerre polynomial is a non-zero square for some integer pair , with , if and only if belongs to one of explicitly given infinite sets of pairs or to an additional finite set of pairs. As a consequence, we obtain new information on when the Galois group of over is the alternating group . For example, we establish that for all but finitely many positive integers , the only for which the Galois group of over is is .