A Tate sequence for global units
A Tauberian theorem for the Ingham summation method
A ternary Diophantine inequality over primes
Let 1 < c < 10/9. For large real numbers R > 0, and a small constant η > 0, the inequality holds for many prime triples. This improves work of Kumchev [Acta Arith. 89 (1999)].
A Terr algorithm for computations in the infrastructure of real-quadratic number fields
We show how to adapt Terr’s variant of the baby-step giant-step algorithm of Shanks to the computation of the regulator and of generators of principal ideals in real-quadratic number fields. The worst case complexity of the resulting algorithm depends only on the square root of the regulator, and is smaller than that of all other previously specified unconditional deterministic algorithm for this task.
A test for identifying Fourier coefficients of automorphic forms and application to Kloosterman sums.
A theorem concerning systems of residue classes.
A theorem in additive number theory
A theorem in asymptotic number theory
A theorem of Cobham for non-primitive substitutions
A theorem of H. Steinhaus and -dense sets of positive integers
A theorem of Mahler and some applications to transference theorems
A theorem on irrationality of infinite series and applications
A Theorem on Totally Mulitplicative Functions.
A theorem on triangular numbers
A third derivative test for mean values of exponential sums with application to lattice point problems
A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound.
A trace formula for Jacobi forms.
A trace formula for reductive groups. II : applications of a truncation operator
A trigonometrical identity.
A trio of Bernoulli relations, their implications for the Ramanujan polynomials and the special values of the Riemann zeta function
We study the interplay between recurrences for zeta related functions at integer values, 'Minor Corner Lattice' Toeplitz determinants and integer composition based sums. Our investigations touch on functional identities due to Ramanujan and Grosswald, the transcendence of the zeta function at odd integer values, the Li Criterion for the Riemann Hypothesis and pseudo-characteristic polynomials for zeta related functions. We begin with a recent result for ζ(2s) and some seemingly new Bernoulli relations,...