Lambert series in analytic number theory

Annotated bibliography of 18th, 19th, and early 20th century works involving Lambert series. A tour of 19th and early 20th century analytic number theory.

• Publication year

  2023

• Venue

  Unknown venue

• Publication date

  2023-09-12

• Fields of study

  Mathematics

• Identifiers
  arXiv 2309.06450
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Functional Analysis

  2023cited by this paper
• Factor tables 1657-1817, with notes on the birth of Number Theory

  2018influential reference
• Elements of Mathematics Functions of a Real Variable: Elementary Theory

  2014cited by this paper
• Functions of a Real Variable: Elementary Theory

  2013cited by this paper
• On the Modular Behaviour of the Infinite Product $(1-x)(1-xq)(1-xq^2)(1-xq^3)...$

  2011cited by this paper
• A new proof of the Voronoï summation formula

  2010cited by this paper
• Johann Heinrich Lambert

  2010cited by this paper
• Sur les valeurs asymptotiques de quelques fonctions numériques

  2009cited by this paper
• Oeuvres complètes: CALCUL DES RÉSIDUS

  2009cited by this paper
• Oeuvres complètes: CALCUL INTÉGRAL. – Sur la réduction des rapports de factorielles réciproques aux fonctions elliptiques

  2009cited by this paper
• Number Theory: Volume II: Analytic and Modern Tools

  2007cited by this paper
• On the Remainder in a Series of Mertens

  2007cited by this paper
• Remarks on irrationality of q-harmonic series

  2002cited by this paper
• Mellin Transforms and Asymptotics: Harmonic Sums

  1995cited by this paper
• Die Neuere Entwicklung Der Analytischen Zahlentheorie

  1994cited by this paper
• Dirichlet's contributions to mathematical probability theory

  1994influential reference
• On the irrationality of certain series

  1992cited by this paper
• The laplace transform

  1991cited by this paper
• The Theory of the Riemann Zeta-Function

  1987cited by this paper
• Problems and theorems in analysis

  1983cited by this paper
• Introduction to analytic number theory

  1976cited by this paper
• On the Irrationality of Certain Series

  1974cited by this paper
• Elements of mathematics

  1956cited by this paper
• Divergent Series

  1951cited by this paper
• FUNCTIONAL EQUATIONS AND SELF-RECIPROCAL FUNCTIONS CONNECTED WITH LAMBERT SERIES

  1944cited by this paper
• An Introduction to the Theory of Numbers

  1939cited by this paper
• The Fourier Integral and Certain of Its Applications

  1933cited by this paper
• Über Lambertsche Reihen

  1929cited by this paper
• Über Anzahlen und Summen von Teilern

  1917cited by this paper
• Sur la série de lambert et son application à la théorie des nombres

  1916influential reference
• Über potenzreihen, im besonderen solche, deren koeffizienten zahlentheoretische funktionen sind

  1914cited by this paper
• Note sur la sommation de la série de Lambert

  1901cited by this paper
• Theory of Functions

  1899cited by this paper
• Sur la théorie des séries

  1899cited by this paper
• Sur une formule utile dans la détermination de certaines valeurs asymptotiques

  1898cited by this paper
• Notes diverses sur la série de Lambert et la loi des nombres premiers

  1867cited by this paper
• Beiträge zur Combinationslehre und deren Anwendung auf die Theorie der Zahlen.

  year unknowncited by this paper
• Ein Beitrag zur analytischen Zahlentheorie.

  year unknowncited by this paper
• Beitrag zur Theorie der Reihen.

  year unknowncited by this paper
• Fundamenta Nova Theoriae Functionum Ellipticarum

  year unknowncited by this paper
• Undersogelser angaaende Maengden af Primtal under en given Graense

  year unknowncited by this paper
• Note sur la sommation de quelques séries

  year unknowncited by this paper
• Recherches sur quelques séries semi-convergentes

  year unknowncited by this paper
• Sur les nombres de Bernoulli et d'Euler

  year unknowncited by this paper
• Memorie della Accademia delle scienze dell'Istituto di Bologna

  year unknowncited by this paper
• Geschichte der Wissenschaften in Deutschland : neuere Zeit

  year unknowncited by this paper
• Recherches sur quelques produits indéfinis

  year unknowncited by this paper
• Philosophie mathématique. Réflexions sur les divers systèmes d'exposition des principes du calcul différentiel, et, en particulier, sur la doctrine des infiniment petits

  year unknowncited by this paper
• An Introduction to the Theory of Infinite Series

  year unknowncited by this paper
• Mathematische Miscellen.

  year unknowncited by this paper
• Sur la série de Lambert

  year unknowncited by this paper
• Analise transcendante. Essai sur un nouveau mode d'exposition des principes du calcul differentiel

  year unknowncited by this paper
• Sur les transformations de la série de Lambert

  year unknowncited by this paper
• Sur quelques conséquences arithmétiques des Formules de la théorie des fonctions elliptiques

  year unknowncited by this paper
• Fundamenta nova theoriae functionum ellipticarum

  year unknowncited by this paper
• Traité du calcul différentiel et du calcul intégral

  year unknowncited by this paper
• Sur les valeurs asymptotiques de quelques fonctions numériques.

  year unknowncited by this paper
• Transformations remarquables de quelques séries.

  year unknowncited by this paper
• Über eine besondere Art von Umkehrung der Reihen.

  year unknowncited by this paper
• Über Potenzreihen, deren Koeffizienten zahlentheoretische Funktionen sind

  year unknowncited by this paper
• On Lambert's series

  year unknowncited by this paper

• No citing papers are available for this paper.