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List of works by Jonathan Sondow

A Geometric Proof That e Is Irrational and a New Measure of Its Irrationality

A simple counterexample to Havil’s “reformulation” of the Riemann Hypothesis

scientific article published in 2012

An Antisymmetric Formula for Euler's Constant

scholarly article published in June 1998

Analytic continuation of Riemann’s zeta function and values at negative integers via Euler’s transformation of series

scientific article (publication date: February 1994)

Double Integrals for Euler's Constant and in $\frac{4}{\pi}$ and an Analog of Hadjicostas's Formula

article

Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent

Euler’s constant, q-logarithms, and formulas of Ramanujan and Gosper

article

New Wallis- and Catalan-Type Infinite Products for α, e and

Newton Quadrilaterals, the Associated Cubic Equations, and Their Rational Solutions

scholarly article

Nonlinear smooth representations of compact Lie groups

scientific article published in 1979

On the interplay among hypergeometric functions, complete elliptic integrals, and Fourier–Legendre expansions

scholarly article

Power-Sum Denominators

Primary Pseudoperfect Numbers, Arithmetic Progressions, and the Erdős-Moser Equation

Proofs of Power Sum and Binomial Coefficient Congruences Via Pascal’s Identity

scientific article (publication date: 2011)

Ramanujan Primes and Bertrand's Postulate

The Parbelos, a Parabolic Analog of the Arbelos

The generalized-Euler-constant function γ ( z ) and a generalization of Somos's quadratic recurrence constant

Zeros of the Alternating Zeta Function on the Line ℝ(s) = 1