On certain combinatorial Diophantine equations and their connection to Pythagorean numbers
On certain congruences for Fourier coefficients of classical cusp forms
On certain continued fraction expansions of fixed period length
On certain degenerate eigenvalues of Hecke operators
On certain Diophantine systems with infinitely many parametric solutions and applications
On Certain Dirichlet Series Associated with Automorphic Forms on SL (2, C).
On Certain Dirichlet Series Associated with Hilbert Modular Forms and Rankin's Method.
On Certain Dirichlet Series Whose Coefficients Are Related to Class Numbers.
On Certain Divisor Functions in Short Intervals
On certain Euler products
On certain Euler products for SU
On certain functions that generalize von Mangoldt’s function
On certain form and its Rankin-Selberg convolution
We consider to be the -function attached to a particular automorphic form on . We establish an upper bound for the mean square estimate on the critical line of Rankin-Selberg -function . As an application of this result, we give an asymptotic formula for the discrete sum of coefficients of .
On certain Galois representations related to the modular curve
On certain generalized q-Appell polynomial expansions
We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol-Bernoulli and Apostol-Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials as well as to...
On certain ideals of the group ring
On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1
Let p be an odd prime number. We prove the existence of certain infinite families of imaginary quadratic fields in which p splits and for which the Iwasawa λ-invariant of the cyclotomic ℤₚ-extension is equal to 1.
On certain infinite products III
On certain multiplicative functions related to the Möbius function
On certain plane curves with many integral points.