l-functions

Adèlic spectral frameworks for computational number theory: exploring exact discrete bounds for pattern avoidance via CP-SAT, and quantum-physical realizations of automorphic L-function zeros.

Framework for spectral confinement in Ring-LWE. Proves ETH violation via the Pi_2 Gaussian primorial attractor. Features IPR analysis yielding a sub-extensive fractal dimension D2 ~ 0.2329 and geometric renormalization (eps = pi*sqrt(2G)) based on Catalan's constant. Includes reproducible Jupyter Notebooks for lattice cryptanalysis.

Formalization experiments around structural behavior near critical points of arithmetic functions.

Anonymous paper proving Boyd's conductor-11 Mahler measure conjecture (C3), with certified interval arithmetic and structural analysis of the S_k family.

Book IV of Dark Geometry: complete spectral theory of the holographic fibration H = M^d ×σ F; the Hertault Axiom e^(dσ)=I; spectral reformulations of RH/BSD/Yang–Mills; black-hole thermodynamics; G₄, σ_s from d=3. 400+ theorems, zero free parameters. Verification code.

Explores Fourier truncation and interpolation between smooth and discrete integrands and series that generate L-functions.

A Thermodynamic Heuristic Framework for the Birch and Swinnerton-Dyer Conjecture

From a multiplication table to Riemann's zeros — a code-verified, bilingual (EN/TR) re-derivation of three centuries of number theory, with its refuted hypotheses kept.

Numerical lab for the zeros↔primes coupling on GL(1) L-functions (Riemann ζ, Dirichlet L): the Weil positivity functional and the multiplicativity residual, measured on the same objects. Measurement, not proof — no RH/GRH claim.

Ghost Rank: Spectral Phase Transitions and the 1/√e Diffusion Law in Elliptic Curves

Sueda Senturk Avci - Master of Mathematics Student - University of Manitoba

Unrefereed research on unconditional low-multiplicity profiles for Riemann zeta zeros, with exact certificates and clearly separated RH-adjacent explorations. Does not prove RH.

Anonymous paper on certified continuation methods for Mahler measure identities at CM points, proving twelve conjectures of Samart with rigorous interval arithmetic.