{ "item_title" : "Transcendental Numbers", "item_author" : [" M. Ram Murty", "Purusottam Rath "], "item_description" : "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).", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/1/49/390/831/1493908316_b.jpg", "price_data" : { "retail_price" : "89.99", "online_price" : "89.99", "our_price" : "89.99", "club_price" : "89.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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