Non-unique factorizations in block semigroups and arithmetical applications
Non-unique factorizations in orders of global fields.
Non-unique models in the Rankin-Selberg method.
Nonvanishing of a certain Bernoulli number and a related topic
Let be an odd prime number with q an odd integer. Let δ (resp. φ) be an odd (resp. even) Dirichlet character of conductor p and order (resp. order dividing q), and let ψₙ be an even character of conductor and order pⁿ. We put χ = δφψₙ, whose value is contained in . It is well known that the Bernoulli number is not zero, which is shown in an analytic way. In the extreme cases and q, we show, in an algebraic and elementary manner, a stronger nonvanishing result: for any pⁿth root ξ...
Nonvanishing of automorphic L-functions at special points
At some special points, we establish a nonvanishing result for automorphic L-functions associated to the even Maass cusp forms in short intervals by using the mollification technique.
Non-vanishing of class group -functions at the central point
Let be an imaginary quadratic field, and denote by its class number. It is shown that there is an absolute constant such that for sufficiently large at least of the distinct -functions do not vanish at the central point .
Nonvanishing of Fourier coefficients of newforms in progressions
Nonvanishing of L-functions and structure of Mordell-Weil groups.
Non-vanishing of L-functions attached to automorphic representations of GL (") over Q.
Nonvanishing of L-functions for GL(2).
Non-vanishing of L-functions of 2 x 2 unitary groups.
Non-vanishing of modular L-functions on a disc
Non-vanishing of -th derivatives of twisted elliptic -functions in the critical point
Let be a modular elliptic curve over
Nonvanishing of quadratic Dirichlet -functions at .
Nonvanishing of Siegel-Poincaré series II
Nonvanishing theorems for L-functions of modular forms and their derivatives.
Non-vanishing theorems for the cohomology of certain arithmetic quotients.
Non-Wieferich primes in number fields and -conjecture
Let be an algebraic number field of class number one and let be its ring of integers. We show that there are infinitely many non-Wieferich primes with respect to certain units in under the assumption of the -conjecture for number fields.
Norm distribution in Galois orbits.
Norm form équations.