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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Transcendental Numbers

Transcendental Numbers

Murty, M. Ram
Rath, Purusottam

Paperback

AlgebraGeneral Mathematics

ISBN10: 1493908316
ISBN13: 9781493908318
Publisher: Springer Nature
Published: Jun 25 2014
Pages: 217
Weight: 0.73
Height: 0.49 Width: 6.14 Depth: 9.21
Language: English
1. Liouville's theorem.- 2. Hermite's Theorem.- 3. Lindemann's theorem.- 4. The Lindemann-Weierstrass theorem.- 5. The maximum modulus principle.- 6. Siegel's lemma.- 7. The six exponentials theorem.- 8. Estimates for derivatives.- 9. The Schneider-Lang theorem.- 10. Elliptic functions.- 11. Transcendental values of elliptic functions.- 12. Periods and quasiperiods.- 13. Transcendental values of some elliptic integrals.- 14. The modular invariant.- 15. Transcendental values of the j-function.- 16. More elliptic integrals.- 17. Transcendental values of Eisenstein series.- 18. Elliptic integrals and hypergeometric series.- 19. Baker's theorem.- 20. Some applications of Baker's theorem.- 21. Schanuel's conjecture.- 22. Transcendental values of some Dirichlet series.- 23. Proof of the Baker-Birch-Wirsing theorem.- 24. Transcendence of some infinite series.- 25. Linear independence of values of Dirichlet L-functions.- 26. Transcendence of values of modular forms.- 27. Transcendence of values of class group L-functions.- 28. Periods, multiple zeta functions and (3).

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