Joona Matti Ensio Eskelinen

Exact Structural Decomposition of the Birch and Swinnerton-Dyer L-value for Rank 2 Elliptic Curves via Archimedean Green Functions

Abstract This paper presents a numerical and structural decomposition of the leading term of the L-function L''(E,1) for rank 2 elliptic curves over Q, in the context of the exact Birch and Swinnerton-Dyer (BSD) conjecture. We empirically demonstrate that the global Neron-Tate re...

Arithmetic-First BSD Computations Across Ranks 1–5: Tensor-Cube Verification, Isogeny Invariance and Mordell–Weil Lattice Saturation

Abstract The Birch–Swinnerton-Dyer (BSD) conjecture establishes one of the deepest proposed connections in modern number theory: a relationship between the analytic behavior of elliptic-curve L-functions and the arithmetic structure of rational points. This research develops and...

A Decision-Theoretic Extension of Causal Unit Selection: Identifiability, Threshold Rules, and the Fallacy of Naive Benefit Rates.

The problem of causal unit selection aims to target interventions by maximizing net benefit across unobserved response types: Benefited, Always-taker, Never-taker, and Harm. This paper extends the Li–Pearl (2021) benefit function $f(c) = W(c) + \sigma \cdot \text{PNS}(c)$ into a...

A Decision-Theoretic Extension of Causal Unit Selection: Identifiability, Threshold Rules, and the Fallacy of Naive Benefit Rates.

The problem of causal unit selection aims to target interventions by maximizing net benefit across unobserved response types: Benefited, Always-taker, Never-taker, and Harm. This paper extends the Li–Pearl (2021) benefit function $f(c) = W(c) + \sigma \cdot \text{PNS}(c)$ into a...