Transcendence of infinite series over lattices

DOI10.1007/s11139-021-00420-zzbMath1480.11093OpenAlexW3154353608MaRDI QIDQ2054714

Siddhi S. Pathak

Publication date: 3 December 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00420-z

zbMATH Keywords

elliptic functionslattice sumstranscendence of infinite series

Mathematics Subject Classification ID

Transcendence theory of elliptic and abelian functions (11J89)

Cites Work

• Über das Abelsche Analogon des Lindemannschen Satzes. I
• Abelian varieties and algebraic independence. II: An abelian analogue of the Lindemann-Weierstrass theorem
• Algebraic independence of the values of elliptic function at algebraic points. Elliptic analogue of the Lindemann-Weierstrass theorem
• Elliptic functions and transcendence
• Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz
• An abelian analogue of Schanuel's conjecture and applications
• An elliptic analogue of a theorem of Hecke
• A Generalization of Euler's Theorem for <em>ζ</em>(2<em>k</em>)
• The algebraic independence of Weierstrass functions and some related numbers
• ON THE TRANSCENDENCE OF CERTAIN INFINITE SERIES
• Transcendental Numbers
• Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt

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