7 papers
Euler's factorial series, Hardy integral, and continued fractions
Anne-Maria Ernvall-Hytönen, Tapani Matala-Aho, Louna Seppälä
We study -adic Euler's series at a point , , and use Padé approximations to prove a lower bound for the -ad…
Probability Estimates for Fading and Wiretap Channels from Ideal Class Zeta Functions
David Karpuk, Anne-Maria Ernvall-Hytönen, Camilla Hollanti +1
In this paper, new probability estimates are derived for ideal lattice codes from totally real number fields using ideal class Dedekind zeta functions. In contrast to previous work…
On generalized Li criterion for a certain class of functions
Anne-Maria Ernvall-Hytönen, Almasa Odžak, Lejla Smajlović +1
We define generalized Li coefficients, called Li coefficients for a very broad class of functions that contains the Selberg class, t…
On an approximate functional equation involving the divisor function
Anne-Maria Ernvall-Hytönen
The error term in the approximate functional equation for exponential sums involving the divisor function will be improved under certain conditions for the parameters of the approx…
Counterexample to the -modular Belfiore-Solé Conjecture
Anne-Maria Ernvall-Hytönen, B. A. Sethuraman
We show that the secrecy function conjecture that states that the maximum of the secrecy function of an -modular lattice occurs at is false, by proving that the 4-m…
Resonances and -results for Exponential Sums Related to Maass Forms for
Anne-Maria Ernvall-Hytönen, Jesse Jääsaari, Esa V. Vesalainen
We obtain resonances for short exponential sums involving Fourier coefficients of Maass forms for . This involves deriving asymptotics for the integrals a…